2025 Vol. 49, No. 4
Display Method: |
			            2025, 49(4): 043001. doi: 10.1088/1674-1137/ada350 
	   					
		        	
			        
		            	
		        
					Abstract: 
Using an electron-positron collision data sample corresponding to\begin{document}$ (1.0087\pm0.0044)\times10^{10} $\end{document} ![]()
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\begin{document}$ J/\psi $\end{document} ![]()
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\begin{document}$ \phi \to \pi^+ \pi^+ e^- e^- $\end{document} ![]()
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\begin{document}$ J/\psi\to \phi\eta $\end{document} ![]()
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\begin{document}$ \phi \to \pi^+ \pi^+ e^- e^- $\end{document} ![]()
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\begin{document}$ 1.3\times10^{-5} $\end{document} ![]()
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			Using an electron-positron collision data sample corresponding to
			            2025, 49(4): 043002. doi: 10.1088/1674-1137/ada914 
	   					
		        	
			        
		            	
		        
					Abstract: 
We search for nuclear recoil signals of dark matter (DM) models with a light mediator using data taken from a p-type point-contact germanium detector of the CDEX-10 experiment at the China Jinping Underground Laboratory. The 90% confidence level upper limits on the DM-nucleon interaction cross section from 205.4 kg-day exposure data are derived, excluding the new parameter space in 2−3 GeV DM mass when the mediator mass is comparable to or lower than the typical momentum transfer. We further interpret our results to constrain a specific self-interacting DM model with a light mediator coupling to the photon through kinetic mixing and set experimental limits on the model parameter region favored by astrophysical observations.
		       
		        
		        
		        
			  
			We search for nuclear recoil signals of dark matter (DM) models with a light mediator using data taken from a p-type point-contact germanium detector of the CDEX-10 experiment at the China Jinping Underground Laboratory. The 90% confidence level upper limits on the DM-nucleon interaction cross section from 205.4 kg-day exposure data are derived, excluding the new parameter space in 2−3 GeV DM mass when the mediator mass is comparable to or lower than the typical momentum transfer. We further interpret our results to constrain a specific self-interacting DM model with a light mediator coupling to the photon through kinetic mixing and set experimental limits on the model parameter region favored by astrophysical observations.
			            2025, 49(4): 043101. doi: 10.1088/1674-1137/ada0b4 
	   					
		        	
			        
		            	
		        
					Abstract: 
This study explores the production of charged Higgs particles through photon-photon collisions within the context of the Two Higgs Doublet Model, including one-loop-level scattering amplitudes of electroweak and QED radiation. The cross-section has been scanned for the plane (\begin{document}$m_{\phi^{0}}, \sqrt{s}$\end{document} ![]()
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\begin{document}$\gamma\gamma \rightarrow H^{+}H^{-}$\end{document} ![]()
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\begin{document}$m_{H}$\end{document} ![]()
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\begin{document}$h^{0}$\end{document} ![]()
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\begin{document}$m_{H^{0}}$\end{document} ![]()
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\begin{document}$H^{0}$\end{document} ![]()
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\begin{document}$\sqrt{s}$\end{document} ![]()
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\begin{document}$~$\end{document} ![]()
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\begin{document}$W^{\pm} h^{0}$\end{document} ![]()
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\begin{document}$t\overline {b}$\end{document} ![]()
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\begin{document}$m_{H}$\end{document} ![]()
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\begin{document}$W^{\pm} h^{0}$\end{document} ![]()
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\begin{document}$\gamma\gamma$\end{document} ![]()
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			This study explores the production of charged Higgs particles through photon-photon collisions within the context of the Two Higgs Doublet Model, including one-loop-level scattering amplitudes of electroweak and QED radiation. The cross-section has been scanned for the plane (
			            2025, 49(4): 043102. doi: 10.1088/1674-1137/adabcf 
	   					
		        	
			        
		            	
		        
					Abstract: 
We propose a simple model to obtain a sizable muon anomalous magnetic dipole moment (muon\begin{document}$ g-2 $\end{document} ![]()
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\begin{document}$ S U(2)_L $\end{document} ![]()
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\begin{document}$ S U(2)_L $\end{document} ![]()
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\begin{document}$ U(1)_Y $\end{document} ![]()
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\begin{document}$ S U(2)_L $\end{document} ![]()
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\begin{document}$ 1/2 $\end{document} ![]()
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\begin{document}$ 3/2 $\end{document} ![]()
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\begin{document}$ g-2 $\end{document} ![]()
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			We propose a simple model to obtain a sizable muon anomalous magnetic dipole moment (muon
			            2025, 49(4): 043103. doi: 10.1088/1674-1137/adb561 
	   					
		        	
			        
		            	
		        
					Abstract: 
This paper investigates conserved net-baryon multiplicity fluctuations near the spinodal decomposition region based on the stochastic diffusion equation, model B. The convex anomaly in the spinodal region induces the unstable mode, and the correlation function dominates at the harder mode. The unstable mode results in oscillating behavior of second-order multiplicity fluctuations with increasing spatial interval. This oscillating behavior of multiplicity fluctuations with respect to acceptance may indicate the existence of the convex anomaly of spinodal decomposition.
		       
		        
		        
		        
			  
			This paper investigates conserved net-baryon multiplicity fluctuations near the spinodal decomposition region based on the stochastic diffusion equation, model B. The convex anomaly in the spinodal region induces the unstable mode, and the correlation function dominates at the harder mode. The unstable mode results in oscillating behavior of second-order multiplicity fluctuations with increasing spatial interval. This oscillating behavior of multiplicity fluctuations with respect to acceptance may indicate the existence of the convex anomaly of spinodal decomposition.
			            2025, 49(4): 043104. doi: 10.1088/1674-1137/adab61 
	   					
		        	
			        
		            	
		        
					Abstract: 
This study investigates the form factors and impact parameter space parton distribution functions of the ρ meson derived from the generalized parton distributions within the Nambu–Jona-Lasinio model framework, employing a proper time regularization scheme. We compare the charge\begin{document}$G_C$\end{document} ![]()
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\begin{document}$G_M$\end{document} ![]()
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\begin{document}$G_Q$\end{document} ![]()
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\begin{document}$G_C^D$\end{document} ![]()
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\begin{document}$G_M^D$\end{document} ![]()
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\begin{document}$G_Q^D$\end{document} ![]()
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\begin{document}$A(Q^2)$\end{document} ![]()
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\begin{document}$B(Q^2)$\end{document} ![]()
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\begin{document}$T_{20}(Q^2,\theta)$\end{document} ![]()
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\begin{document}$A(Q^2)$\end{document} ![]()
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\begin{document}$B(Q^2)$\end{document} ![]()
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\begin{document}$T_{20}(Q^2,\theta)$\end{document} ![]()
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\begin{document}$\boldsymbol{b}_{\perp}$\end{document} ![]()
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\begin{document}$ q_C(x,\boldsymbol{b}_{\perp}^2)$\end{document} ![]()
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\begin{document}$q_Q(x,\boldsymbol{b}_{\perp}^2) $\end{document} ![]()
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			This study investigates the form factors and impact parameter space parton distribution functions of the ρ meson derived from the generalized parton distributions within the Nambu–Jona-Lasinio model framework, employing a proper time regularization scheme. We compare the charge
			            2025, 49(4): 044001. doi: 10.1088/1674-1137/adacc3 
	   					
		        	
			        
		            	
		        
					Abstract: 
Stimulated by a keen interest in possible collective behavior in high-energy proton-proton and proton-nucleus collisions, we study two-particle angular correlations in pseudorapidity and azimuthal differences in simulated p + p interactions using the Pythia 8 event generator. Multi-parton interactions and color connection are included in these simulations, which have been perceived to produce collectivity in final-state particles. Meanwhile, contributions from genuine few-body nonflow correlations, not of collective flow behavior, are known to be severe in these small-system collisions. We present our Pythia correlation studies pedagogically and report azimuthal harmonic anisotropies analyzed using several methods. We observe anisotropies in these Pythia simulated events qualitatively and semi-quantitatively, similar to experimental data. Our findings highlight the delicate nature of azimuthal anisotropies in small-system collisions and provide a benchmark that can aid in improving data analysis and interpreting experimental measurements in small-system collisions.
		       
		        
		        
		        
			  
			Stimulated by a keen interest in possible collective behavior in high-energy proton-proton and proton-nucleus collisions, we study two-particle angular correlations in pseudorapidity and azimuthal differences in simulated p + p interactions using the Pythia 8 event generator. Multi-parton interactions and color connection are included in these simulations, which have been perceived to produce collectivity in final-state particles. Meanwhile, contributions from genuine few-body nonflow correlations, not of collective flow behavior, are known to be severe in these small-system collisions. We present our Pythia correlation studies pedagogically and report azimuthal harmonic anisotropies analyzed using several methods. We observe anisotropies in these Pythia simulated events qualitatively and semi-quantitatively, similar to experimental data. Our findings highlight the delicate nature of azimuthal anisotropies in small-system collisions and provide a benchmark that can aid in improving data analysis and interpreting experimental measurements in small-system collisions.
			            2025, 49(4): 044101. doi: 10.1088/1674-1137/ad9a8c 
	   					
		        	
			        
		            	
		        
					Abstract: 
By combining the Skyrme-Hartree-Fock method with complex momentum representation (CMR), the resonant states of\begin{document}$ {}^{17}_\Lambda $\end{document} ![]()
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\begin{document}$ {}^{41}_{\Lambda} $\end{document} ![]()
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\begin{document}$ {}^{49}_{\Lambda} $\end{document} ![]()
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\begin{document}$ {}^{57}_\Lambda $\end{document} ![]()
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			By combining the Skyrme-Hartree-Fock method with complex momentum representation (CMR), the resonant states of
			            2025, 49(4): 044102. doi: 10.1088/1674-1137/ada126 
	   					
		        	
			        
		            	
		        
					Abstract: 
The preformed cluster model (PCM) is applied to investigate the heavy particle radioactivity (HPR) and spontaneous fission (SF) processes for even-Z superheavy nuclear systems. Different proximity potentials are used to calculate the decay half-lives of\begin{document}$Z=112-120 $\end{document} ![]()
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\begin{document}$Z=114 $\end{document} ![]()
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\begin{document}$ _{10} $\end{document} ![]()
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\begin{document}$ _{10} $\end{document} ![]()
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\begin{document}$ _{10} $\end{document} ![]()
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\begin{document}$ Z \geq 116$\end{document} ![]()
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\begin{document}$T_{\rm SF}$\end{document} ![]()
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\begin{document}$ ^{282} $\end{document} ![]()
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\begin{document}$ ^{284} $\end{document} ![]()
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\begin{document}$ ^{284} $\end{document} ![]()
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\begin{document}$ ^{286} $\end{document} ![]()
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\begin{document}$Z=116-120 $\end{document} ![]()
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			The preformed cluster model (PCM) is applied to investigate the heavy particle radioactivity (HPR) and spontaneous fission (SF) processes for even-Z superheavy nuclear systems. Different proximity potentials are used to calculate the decay half-lives of
			            2025, 49(4): 044103. doi: 10.1088/1674-1137/ada7d1 
	   					
		        	
			        
		            	
		        
					Abstract: 
We study the transverse momentum (\begin{document}$p_T$\end{document} ![]()
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\begin{document}$\sqrt{s_{_{NN}}}$\end{document} ![]()
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\begin{document}${v_2\{2}\}$\end{document} ![]()
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\begin{document}${v_2\{4\}}$\end{document} ![]()
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\begin{document}${\langle v_2\rangle}$\end{document} ![]()
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\begin{document}${\sigma_{v_2}}$\end{document} ![]()
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\begin{document}${\sigma_{v_2}}$\end{document} ![]()
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\begin{document}${v_2\{4\}/v_2\{2\}}$\end{document} ![]()
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\begin{document}$F({v_2})$\end{document} ![]()
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\begin{document}${A_2^f}$\end{document} ![]()
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\begin{document}${M_2^f}$\end{document} ![]()
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			We study the transverse momentum (
			            2025, 49(4): 044104. doi: 10.1088/1674-1137/ada34d 
	   					
		        	
			        
		            	
		        
					Abstract: 
The astrophysical S-factor of the 12C(p, γ0)13N reaction at energies from 25 keV to 5 MeV within the framework of a modified potential cluster model with forbidden states is considered. The experimental phase shifts resonant\begin{document}$ {\delta _{^2{S_{1/2}}}} $\end{document} ![]()
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\begin{document}$ {\delta _{^2{P_{3/2}}}} $\end{document} ![]()
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\begin{document}$ {\delta _{^2{D_{3/2}}}} $\end{document} ![]()
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			The astrophysical S-factor of the 12C(p, γ0)13N reaction at energies from 25 keV to 5 MeV within the framework of a modified potential cluster model with forbidden states is considered. The experimental phase shifts resonant
			            2025, 49(4): 044105. doi: 10.1088/1674-1137/ada377 
	   					
		        	
			        
		            	
		        
					Abstract: 
Bremsstrahlung photons emitted during nucleon-nucleus reactions in compact stars are investigated. The influence of stellar medium density on emission intensity is studied from a quantum perspective for the first time. A bremsstrahlung model is generalized, where a new term describing the influence of the stellar medium is added to interactions between nucleons and nuclei (in the framework of a nuclear model of deformed oscillatoric shells). Polytropic EOS, Chandrasekar EOS, and Harrison-Wheeler EOS are employed for calculation. Haensel and Potekhin's unified EOS of neutron-star matter based on FPS and SLy EOSs are used for tests. Bremsstrahlung calculations are tested on existing measurements of bremsstrahlung in the scattering of protons off 197Au nuclei at a proton beam energy of\begin{document}$E_{ p}=190$\end{document} ![]()
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			Bremsstrahlung photons emitted during nucleon-nucleus reactions in compact stars are investigated. The influence of stellar medium density on emission intensity is studied from a quantum perspective for the first time. A bremsstrahlung model is generalized, where a new term describing the influence of the stellar medium is added to interactions between nucleons and nuclei (in the framework of a nuclear model of deformed oscillatoric shells). Polytropic EOS, Chandrasekar EOS, and Harrison-Wheeler EOS are employed for calculation. Haensel and Potekhin's unified EOS of neutron-star matter based on FPS and SLy EOSs are used for tests. Bremsstrahlung calculations are tested on existing measurements of bremsstrahlung in the scattering of protons off 197Au nuclei at a proton beam energy of
			            2025, 49(4): 044106. doi: 10.1088/1674-1137/ada7ce 
	   					
		        	
			        
		            	
		        
					Abstract: 
In this work, we study the\begin{document}$K^- p \to \gamma \Lambda$\end{document} ![]()
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\begin{document}$K^*$\end{document} ![]()
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\begin{document}$\Lambda(1520)$\end{document} ![]()
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\begin{document}$\Sigma(1660)$\end{document} ![]()
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\begin{document}$\Sigma(1670)$\end{document} ![]()
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			In this work, we study the
			            2025, 49(4): 044107. doi: 10.1088/1674-1137/ada5c9 
	   					
		        	
			        
		            	
		        
					Abstract: 
In this study, the energy bands of quadrupole and octupole excited states are investigated. This is achieved by employing the Bohr Hamiltonian, incorporating quadrupole and octupole deformations whose variables are accurately separated. Subsequently, the Woods-Saxon potential is added to the problem. Because this problem cannot yield suitable solutions using conventional approximations, we solve it numerically using machine learning. A detailed description is given of how wave functions and their associated energies are obtained. Throughout this procedure, we demonstrate how machine learning aids us in easily accomplishing our objective. We examine and analyze the energy spectrum and possible multipole transitions for candidate isotopes\begin{document}$ ^{226} $\end{document} ![]()
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\begin{document}$ ^{226} $\end{document} ![]()
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			In this study, the energy bands of quadrupole and octupole excited states are investigated. This is achieved by employing the Bohr Hamiltonian, incorporating quadrupole and octupole deformations whose variables are accurately separated. Subsequently, the Woods-Saxon potential is added to the problem. Because this problem cannot yield suitable solutions using conventional approximations, we solve it numerically using machine learning. A detailed description is given of how wave functions and their associated energies are obtained. Throughout this procedure, we demonstrate how machine learning aids us in easily accomplishing our objective. We examine and analyze the energy spectrum and possible multipole transitions for candidate isotopes
			            2025, 49(4): 044108. doi: 10.1088/1674-1137/ada7cf 
	   					
		        	
			        
		            	
		        
					Abstract: 
When an energetic parton traverses the hot QCD medium, it may suffer from multiple scattering and lose its energy. The medium-induced gluon radiation for a massive quark will be suppressed relative to that of a light quark due to the dead-cone effect. The development of new declustering techniques of jet evolution makes a direct study of the dead-cone effect in the QCD medium possible for the first time. In this work, we compute the emission angle distribution of the charm-quark-initiated splittings in D0 meson tagged jet and that of the light parton-initiated splittings in an inclusive jet in p+p and Pb+Pb at 5.02 TeV by utilizing the declustering techniques of jet evolution. The heavy quark propagation and induced energy loss in the QCD medium are simulated with the SHELL model based on the Langevin equation. By directly comparing the emission angle distributions of charm-quark-initiated splittings with those of light parton-initiated splittings at the same energy intervals of the initial parton, we provide insights into the fundamental splitting structure in A+A collisions, thereby exploring the possible observation of the dead-cone effect in medium-induced radiation. We further investigate the case of the emission angle distributions normalized to the number of splittings and find the dead-cone effect will broaden the emission angle of the splitting and reduce the possibility for such splitting to occur, leading the massive parton to lose less energy. We also find that the collisional energy loss mechanism has a negligible impact on the medium modification to the emission angle distribution of the charm-quark-initiated splittings for D0 meson-tagged jets.
		       
		        
		        
		        
			  
			When an energetic parton traverses the hot QCD medium, it may suffer from multiple scattering and lose its energy. The medium-induced gluon radiation for a massive quark will be suppressed relative to that of a light quark due to the dead-cone effect. The development of new declustering techniques of jet evolution makes a direct study of the dead-cone effect in the QCD medium possible for the first time. In this work, we compute the emission angle distribution of the charm-quark-initiated splittings in D0 meson tagged jet and that of the light parton-initiated splittings in an inclusive jet in p+p and Pb+Pb at 5.02 TeV by utilizing the declustering techniques of jet evolution. The heavy quark propagation and induced energy loss in the QCD medium are simulated with the SHELL model based on the Langevin equation. By directly comparing the emission angle distributions of charm-quark-initiated splittings with those of light parton-initiated splittings at the same energy intervals of the initial parton, we provide insights into the fundamental splitting structure in A+A collisions, thereby exploring the possible observation of the dead-cone effect in medium-induced radiation. We further investigate the case of the emission angle distributions normalized to the number of splittings and find the dead-cone effect will broaden the emission angle of the splitting and reduce the possibility for such splitting to occur, leading the massive parton to lose less energy. We also find that the collisional energy loss mechanism has a negligible impact on the medium modification to the emission angle distribution of the charm-quark-initiated splittings for D0 meson-tagged jets.
			            2025, 49(4): 044109. doi: 10.1088/1674-1137/ad9305 
	   					
		        	
			        
		            	
		        
					Abstract: 
The new measured data of elastic and inelastic 20Ne+130Te scattering at an energy of 15.3 A MeV are analyzed in framework of the nuclear optical potential. Three types of semi-microscopic potentials are used: the real part is calculated using a double folding model in conjunction with the conventional phenomenological Woods-Saxon (WS) potential for the imaginary part. Two real cluster models are constructed using the cluster structure of 20Ne nucleus as 5α and α+16O. The real part of the third potential is generated using a CDM3Y6 interaction employed for comparison. Three excited energies to the superposition of the projectile and target states, ground-state (Quasi), 1.6 and 2.5 MeV are investigated using deformed potentials. The contributions of these states are calculated using a one-step distorted wave Born approximation and coupled Channels approaches. Successful calculations and results using semi-microscopic potentials in simple one-channel and coupled channels are obtained. The values of cross section and volume integrals require more contributions to enable more comparisons regarding this project.
		       
		        
		        
		        
			  
			The new measured data of elastic and inelastic 20Ne+130Te scattering at an energy of 15.3 A MeV are analyzed in framework of the nuclear optical potential. Three types of semi-microscopic potentials are used: the real part is calculated using a double folding model in conjunction with the conventional phenomenological Woods-Saxon (WS) potential for the imaginary part. Two real cluster models are constructed using the cluster structure of 20Ne nucleus as 5α and α+16O. The real part of the third potential is generated using a CDM3Y6 interaction employed for comparison. Three excited energies to the superposition of the projectile and target states, ground-state (Quasi), 1.6 and 2.5 MeV are investigated using deformed potentials. The contributions of these states are calculated using a one-step distorted wave Born approximation and coupled Channels approaches. Successful calculations and results using semi-microscopic potentials in simple one-channel and coupled channels are obtained. The values of cross section and volume integrals require more contributions to enable more comparisons regarding this project.
			            2025, 49(4): 044110. doi: 10.1088/1674-1137/ad9303 
	   					
		        	
			        
		            	
		        
					Abstract: 
An empirical formula of nuclear β-decay half-lives is proposed by including the transition-strength contribution. The inclusion of the transition-strength contribution can reduce nuclear β-decay half-lives by about an order of magnitude, and its effect gradually increases toward the neutron-rich or heavy nuclear regions. For nuclear β-decay half-lives less than 1 s, the empirical formula can describe the experimental data within approximately2 times, which is more accurate than the sophisticated microscopic models. The transition-strength contribution can also be effectively considered by refitting the parameters of other empirical formulas without the transition-strength term although they will still significantly deviate from the new empirical formula in light or heavy neutron-rich nuclear regions. This indicates that the inclusion of the transition-strength contribution in the empirical formula is crucial for the global description of nuclear β-decay half-lives. The extrapolation ability of the new empirical formula was verified by the newly measured β-decay half-lives.
		       
		        
		        
		        
			  
			An empirical formula of nuclear β-decay half-lives is proposed by including the transition-strength contribution. The inclusion of the transition-strength contribution can reduce nuclear β-decay half-lives by about an order of magnitude, and its effect gradually increases toward the neutron-rich or heavy nuclear regions. For nuclear β-decay half-lives less than 1 s, the empirical formula can describe the experimental data within approximately2 times, which is more accurate than the sophisticated microscopic models. The transition-strength contribution can also be effectively considered by refitting the parameters of other empirical formulas without the transition-strength term although they will still significantly deviate from the new empirical formula in light or heavy neutron-rich nuclear regions. This indicates that the inclusion of the transition-strength contribution in the empirical formula is crucial for the global description of nuclear β-decay half-lives. The extrapolation ability of the new empirical formula was verified by the newly measured β-decay half-lives.
			            2025, 49(4): 044111. doi: 10.1088/1674-1137/ada95e 
	   					
		        	
			        
		            	
		        
					Abstract: 
Proton radioactivity is used to investigate the characteristics of unstable neutron-deficient nuclei beyond the proton dripline. Based on the tunneling of one proton through the potential barrier formed by Woods-Saxon plus expanded Coulomb potentials, the half-lives of various proton emitters are calculated using distorted wave Born approximations. In particular, deformation and nuclear surface polarization are considered in our calculation, and their effects on proton-emission half-lives are researched. An analytic formula expressing the relationship between spectroscopic factors and deformation and polarization, which significantly reduces the deviations of calculated half-lives from experimental data, is proposed as well. Moreover, inspired by the new experimental results for the first proton emitter ever discovered,\begin{document}$ ^{53}\text{Co}^m $\end{document} ![]()
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			Proton radioactivity is used to investigate the characteristics of unstable neutron-deficient nuclei beyond the proton dripline. Based on the tunneling of one proton through the potential barrier formed by Woods-Saxon plus expanded Coulomb potentials, the half-lives of various proton emitters are calculated using distorted wave Born approximations. In particular, deformation and nuclear surface polarization are considered in our calculation, and their effects on proton-emission half-lives are researched. An analytic formula expressing the relationship between spectroscopic factors and deformation and polarization, which significantly reduces the deviations of calculated half-lives from experimental data, is proposed as well. Moreover, inspired by the new experimental results for the first proton emitter ever discovered,
			            2025, 49(4): 045101. doi: 10.1088/1674-1137/adab62 
	   					
		        	
			        
		            	
		        
					Abstract: 
We investigate the linear cosmological perturbations in the context of the so-called energy-momentum squared gravity (EMSG) theory. Recent research shows that the EMSG theory can reproduce a viable background cosmological evolution comparable to ΛCDM, whereas the matter-dominated era exhibits slight distinctions. In this paper, we focus on power-law EMSG models and derive the equations for the linear cosmological perturbations. We explore the propagation of the gravitational wave (GW) and the growth of matter density perturbation at the first order, and we estimate the model parameters from the simulated GW and observed redshift space distortion data. Our analysis reveals that the model parameters should be small and positive in the\begin{document}$ 1\sigma $\end{document} ![]()
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			We investigate the linear cosmological perturbations in the context of the so-called energy-momentum squared gravity (EMSG) theory. Recent research shows that the EMSG theory can reproduce a viable background cosmological evolution comparable to ΛCDM, whereas the matter-dominated era exhibits slight distinctions. In this paper, we focus on power-law EMSG models and derive the equations for the linear cosmological perturbations. We explore the propagation of the gravitational wave (GW) and the growth of matter density perturbation at the first order, and we estimate the model parameters from the simulated GW and observed redshift space distortion data. Our analysis reveals that the model parameters should be small and positive in the
			            2025, 49(4): 045102. doi: 10.1088/1674-1137/adaa57 
	   					
		        	
			        
		            	
		        
					Abstract: 
This research paper examines a cosmological model in flat space-time via\begin{document}$ f(R,G) $\end{document} ![]()
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\begin{document}$ f(R,G) $\end{document} ![]()
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\begin{document}$ H_0 $\end{document} ![]()
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\begin{document}$ H(z) $\end{document} ![]()
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\begin{document}$ H(z) $\end{document} ![]()
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\begin{document}$ H(z) $\end{document} ![]()
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\begin{document}$ H_0 $\end{document} ![]()
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\begin{document}$ Om(z) $\end{document} ![]()
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\begin{document}$ H_0 $\end{document} ![]()
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\begin{document}$ f(R,G) $\end{document} ![]()
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			This research paper examines a cosmological model in flat space-time via
			            2025, 49(4): 045103. doi: 10.1088/1674-1137/ada378 
	   					
		        	
			        
		            	
		        
					Abstract: 
We investigate the critical collapse of spherically symmetric scalar fields in asymptotically anti-de Sitter spacetime, focusing on two scenarios: real and complex scalar fields with potentials. By fine-tuning the amplitude of the initial scalar field under different cosmological constants, we find a linear relationship between the critical amplitude of the first collapse and the cosmological constant in both scenarios. Furthermore, we observe that the slope of this linear relationship varies linearly with coupling strength.
		       
		        
		        
		        
			  
			We investigate the critical collapse of spherically symmetric scalar fields in asymptotically anti-de Sitter spacetime, focusing on two scenarios: real and complex scalar fields with potentials. By fine-tuning the amplitude of the initial scalar field under different cosmological constants, we find a linear relationship between the critical amplitude of the first collapse and the cosmological constant in both scenarios. Furthermore, we observe that the slope of this linear relationship varies linearly with coupling strength.
			            2025, 49(4): 045104. doi: 10.1088/1674-1137/ad9f44 
	   					
		        	
			        
		            	
		        
					Abstract: 
In this study, we investigate the optical properties of a quantum-corrected black hole (BH) in loop quantum gravity surrounded by a plasma medium. First, we determine the photon and shadow radii resulting from quantum corrections and the plasma medium in the environment surrounding a quantum-corrected BH. Our findings indicate that the photon sphere and BH shadow radii decrease owing to the quantum correction parameter α, which acts as a repulsive gravitational charge. Further, we investigate the gravitational weak lensing by applying the general formalism used to model the deflection angle of the light traveling around the quantum-corrected BH within the plasma medium. We show, in conjunction with the fact that the combined effects of the quantum correction and non-uniform plasma frequency parameter can decrease the deflection angle, that the light traveling through the uniform plasma can be strongly deflected than the non-uniform plasma environment surrounding the quantum-corrected BH. Finally, we examine the magnification of the lensed image brightness under the effect of the quantum correction parameter α, including the uniform and non-uniform plasma effects.
		       
		        
		        
		        
			  
			In this study, we investigate the optical properties of a quantum-corrected black hole (BH) in loop quantum gravity surrounded by a plasma medium. First, we determine the photon and shadow radii resulting from quantum corrections and the plasma medium in the environment surrounding a quantum-corrected BH. Our findings indicate that the photon sphere and BH shadow radii decrease owing to the quantum correction parameter α, which acts as a repulsive gravitational charge. Further, we investigate the gravitational weak lensing by applying the general formalism used to model the deflection angle of the light traveling around the quantum-corrected BH within the plasma medium. We show, in conjunction with the fact that the combined effects of the quantum correction and non-uniform plasma frequency parameter can decrease the deflection angle, that the light traveling through the uniform plasma can be strongly deflected than the non-uniform plasma environment surrounding the quantum-corrected BH. Finally, we examine the magnification of the lensed image brightness under the effect of the quantum correction parameter α, including the uniform and non-uniform plasma effects.
			            2025, 49(4): 045105. doi: 10.1088/1674-1137/ada960 
	   					
		        	
			        
		            	
		        
					Abstract: 
In this study, based on the Ryu-Takayanagi formula, by identifying the pure state UV and IR entanglement entropies of a perturbed CFT2 with geodesic lengths in the bulk, we demonstrate that the dual geometry is uniquely determined to be asymptotically AdS3. The pure AdS3 geometry is recovered by taking the massless limit of the system. Our derivations hold in both static and covariant scenarios.
		       
		        
		        
		        
			  
			In this study, based on the Ryu-Takayanagi formula, by identifying the pure state UV and IR entanglement entropies of a perturbed CFT2 with geodesic lengths in the bulk, we demonstrate that the dual geometry is uniquely determined to be asymptotically AdS3. The pure AdS3 geometry is recovered by taking the massless limit of the system. Our derivations hold in both static and covariant scenarios.
			            2025, 49(4): 045106. doi: 10.1088/1674-1137/ad9304 
	   					
		        	
			        
		            	
		        
					Abstract: 
The nearest black hole to Earth, Sagittarius A\begin{document}$ ^\star $\end{document} ![]()
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\begin{document}$ \Lambda \lesssim 7.3 \times 10^{-34} \text{ km}^{-2} $\end{document} ![]()
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\begin{document}$ 1\sigma $\end{document} ![]()
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			The nearest black hole to Earth, Sagittarius A
			            2025, 49(4): 045107. doi: 10.1088/1674-1137/ada34e 
	   					
		        	
			        
		            	
		        
					Abstract: 
To explore the inverse problem tied to the Page curve phenomenon and island paradigm, we investigate the geometric conditions underpinning black hole evaporation, where information is preserved and islands manifest, giving rise to the characteristic Page curve. Focusing on a broad class of static spherical symmetry black hole metrics in asymptotically Minkowski or (anti-)de Sitter spacetimes, we derive a pivotal constraint, the second derivative of the blacken factor\begin{document}$ f^{\prime \prime}(r_h)<\frac{6 \kappa A^{\prime}(r_h)}{cG_N} $\end{document} ![]()
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\begin{document}$f^{\prime \prime}(r_h)  <   \frac{6 \kappa^2 r_h A^{\prime}(r_h) {\rm e}^{2\kappa r_{\star}(b)} }{cG_N f(b)}$\end{document} ![]()
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\begin{document}$ f(r) $\end{document} ![]()
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\begin{document}$ f^{\prime \prime} (r)<0 $\end{document} ![]()
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\begin{document}$ r \sim r_h+ {\cal O} (G_N) $\end{document} ![]()
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\begin{document}$ f(r) $\end{document} ![]()
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			To explore the inverse problem tied to the Page curve phenomenon and island paradigm, we investigate the geometric conditions underpinning black hole evaporation, where information is preserved and islands manifest, giving rise to the characteristic Page curve. Focusing on a broad class of static spherical symmetry black hole metrics in asymptotically Minkowski or (anti-)de Sitter spacetimes, we derive a pivotal constraint, the second derivative of the blacken factor
			            2025, 49(4): 045108. doi: 10.1088/1674-1137/ad9b9e 
	   					
		        	
			        
		            	
		        
					Abstract: 
We consider a Lagrangian to describe gravity using a nonlinear term depending on the Gauss-Bonnet topological invariant. We examine the conditions for a bouncing and the existence of an ulterior accelerated phase of the universe. The original concept of Einstein's first paper on cosmology was to modify the equations that control the gravitational metric. Based on this, several authors have proposed different formalisms to modify general relativity. Herein, a function of the topological invariant is used in a homogeneous and isotropic cosmological model. First, a case with the topological invariant as a constant is thoroughly examined, yielding specific constraints on the evolution of the Hubble parameter. Subsequently, we study a function of the topological invariant squared. In an empty space-time scenario, the term that modifies Einstein’s equations functions as an effective geometrical density, and we map regions in the phase space in which the effective pressure is positive or negative. This results in non-trivial integral solutions such as cyclic stages of acceleration and deceleration of the scale factor in the model, among other behaviors. We add cosmic dust to the system, and for certain classes of solutions, we observe that the minimum positive value of the Hubble parameter is limited by the cosmic dust matter density. If this matter density reaches zero, the minimum value of the Hubble parameter also reaches zero.
		       
		        
		        
		        
			  
			We consider a Lagrangian to describe gravity using a nonlinear term depending on the Gauss-Bonnet topological invariant. We examine the conditions for a bouncing and the existence of an ulterior accelerated phase of the universe. The original concept of Einstein's first paper on cosmology was to modify the equations that control the gravitational metric. Based on this, several authors have proposed different formalisms to modify general relativity. Herein, a function of the topological invariant is used in a homogeneous and isotropic cosmological model. First, a case with the topological invariant as a constant is thoroughly examined, yielding specific constraints on the evolution of the Hubble parameter. Subsequently, we study a function of the topological invariant squared. In an empty space-time scenario, the term that modifies Einstein’s equations functions as an effective geometrical density, and we map regions in the phase space in which the effective pressure is positive or negative. This results in non-trivial integral solutions such as cyclic stages of acceleration and deceleration of the scale factor in the model, among other behaviors. We add cosmic dust to the system, and for certain classes of solutions, we observe that the minimum positive value of the Hubble parameter is limited by the cosmic dust matter density. If this matter density reaches zero, the minimum value of the Hubble parameter also reaches zero.
			            2025, 49(4): 045109. doi: 10.1088/1674-1137/ad9301 
	   					
		        	
			        
		            	
		        
					Abstract: 
Given the significant uncertainty in the equation of state (EOS) of high-density nuclear matter, establishing EOS-independent universal relations between global properties of neutron stars provides a practical method to constraining unobservable or difficult-to-observe properties using astronomical observations. Constructing universal relations between EOS-dependent properties (e.g., moment of inertia, tidal deformation, etc.) or combined properties (e.g., compactness) is common, and improving the precision of the universal relations may provide stricter constraint on the properties of neutron star. We find that in 3-dimensional space with mass and radius as the base coordinates, the points corresponding to properties of a neutron star described by different EOSs are almost located on the same surface. Thus, the universal relation between the property and the stellar mass-radius can be expressed through describing the surface. We demonstrate that the resulting universal relations have greater precision. For example, we construct high-precision universal relations for the moment of inertia, the f-mode frequency, and the dimensionless tidal deformation with respect to the mass-radius. With the increase in the size and accuracy of NICER observational data for neutron star masses and radii, these universal relations allow for more precise constraints on the unobservable or difficult-to-observe properties.
		       
		        
		        
		        
			  
			Given the significant uncertainty in the equation of state (EOS) of high-density nuclear matter, establishing EOS-independent universal relations between global properties of neutron stars provides a practical method to constraining unobservable or difficult-to-observe properties using astronomical observations. Constructing universal relations between EOS-dependent properties (e.g., moment of inertia, tidal deformation, etc.) or combined properties (e.g., compactness) is common, and improving the precision of the universal relations may provide stricter constraint on the properties of neutron star. We find that in 3-dimensional space with mass and radius as the base coordinates, the points corresponding to properties of a neutron star described by different EOSs are almost located on the same surface. Thus, the universal relation between the property and the stellar mass-radius can be expressed through describing the surface. We demonstrate that the resulting universal relations have greater precision. For example, we construct high-precision universal relations for the moment of inertia, the f-mode frequency, and the dimensionless tidal deformation with respect to the mass-radius. With the increase in the size and accuracy of NICER observational data for neutron star masses and radii, these universal relations allow for more precise constraints on the unobservable or difficult-to-observe properties.
			            2025, 49(4): 045110. doi: 10.1088/1674-1137/adb414 
	   					
		        	
			        
		            	
		        
					Abstract: 
This study investigates the observational signatures of traversable Simpson-Visser wormholes illuminated by luminous celestial spheres and orbiting hot spots. We demonstrate that when light sources and observers are on the same side of a wormhole, the images of the wormhole mimic those of a black hole. However, when the light source is positioned opposite the observer, photons traversing the wormhole throat generate distinct observational signatures. Specifically, unlike black hole images, wormhole images are confined in a critical curve, resulting in smaller centroid variations. Furthermore, the light curve of hot spots can exhibit additional peaks.
		       
		        
		        
		        
			  
			This study investigates the observational signatures of traversable Simpson-Visser wormholes illuminated by luminous celestial spheres and orbiting hot spots. We demonstrate that when light sources and observers are on the same side of a wormhole, the images of the wormhole mimic those of a black hole. However, when the light source is positioned opposite the observer, photons traversing the wormhole throat generate distinct observational signatures. Specifically, unlike black hole images, wormhole images are confined in a critical curve, resulting in smaller centroid variations. Furthermore, the light curve of hot spots can exhibit additional peaks.
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