2024 Vol. 48, No. 1
Display Method: |
			            2024, 48(1): 013001. doi: 10.1088/1674-1137/ad061e 
	   					
		        	
			        
		            	
		        
					Abstract: 
The identification of deuterons with momenta in the range of 0.52−0.72 GeV/c is studied with specific ionization energy loss information using a data sample collected by the BESIII detector at center-of-mass energies between 4.009 and 4.946 GeV. Clean deuteron samples are selected using time of flight information. For all data samples, the deuteron identification efficiencies are higher than 95%, with a maximum difference of\begin{document}$ (4.9\pm1.0) $\end{document} ![]()
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			The identification of deuterons with momenta in the range of 0.52−0.72 GeV/c is studied with specific ionization energy loss information using a data sample collected by the BESIII detector at center-of-mass energies between 4.009 and 4.946 GeV. Clean deuteron samples are selected using time of flight information. For all data samples, the deuteron identification efficiencies are higher than 95%, with a maximum difference of
			            2024, 48(1): 013101. doi: 10.1088/1674-1137/ad0110 
	   					
		        	
			        
		            	
		        
					Abstract: 
The magnetic and quadrupole moments of the\begin{document}$ Z_{c}(4020)^+ $\end{document} ![]()
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\begin{document}$ Z_{c}(4050)^+ $\end{document} ![]()
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\begin{document}$ Z_{c}(4600)^{+} $\end{document} ![]()
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\begin{document}$\mu_{Z_{c}}^{} = 0.50 ^{+0.22}_{-0.22}\; \mu_{N}^{}$\end{document} ![]()
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\begin{document}$\mu_{Z^{1}_{c}}=1.22 ^{+0.34}_{-0.32}\; \mu_{N}^{}$\end{document} ![]()
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\begin{document}$\mu_{Z^2_{c}}=2.40 ^{+0.53}_{-0.48}\; \mu_{N}^{}$\end{document} ![]()
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\begin{document}$ Z_{c}(4020)^+ $\end{document} ![]()
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\begin{document}$ Z_{c}(4050)^+ $\end{document} ![]()
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\begin{document}$ Z_{c}(4600)^{+} $\end{document} ![]()
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\begin{document}$ Z_{c}4020)^+ $\end{document} ![]()
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\begin{document}$ Z_{c}(4050)^+ $\end{document} ![]()
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\begin{document}$ Z_{c}(4600)^{+} $\end{document} ![]()
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\begin{document}$ \mathcal{D}_{Z_c}=(0.20 ^{+0.05}_{-0.04}) \times 10^{-3}\; \rm{fm}^2 $\end{document} ![]()
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\begin{document}$ \mathcal{D}_{Z_c^1}=(0.57 ^{+0.07}_{-0.08}) \times 10^{-3}\; \rm{fm}^2 $\end{document} ![]()
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\begin{document}$ \mathcal{D}_{Z_c^2}=(0.30 ^{+0.05}_{-0.04}) \times 10^{-3}\; \rm{fm}^2 $\end{document} ![]()
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\begin{document}$ Z_{c}(4020)^+ $\end{document} ![]()
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\begin{document}$ Z_{c}(4050)^+ $\end{document} ![]()
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\begin{document}$ Z_{c}(4600)^{+} $\end{document} ![]()
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\begin{document}$ Z_c $\end{document} ![]()
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\begin{document}$ Z_{c}(4020)^+ $\end{document} ![]()
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\begin{document}$ Z_{c}(4050)^+ $\end{document} ![]()
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\begin{document}$ Z_{c}(4600)^{+} $\end{document} ![]()
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		        The magnetic and quadrupole moments of the
			            2024, 48(1): 013102. doi: 10.1088/1674-1137/ad061d 
	   					
		        	
			        
		            	
		        
					Abstract: 
In this study, the strong coupling constants of vertices\begin{document}$ BB\Upsilon $\end{document} ![]()
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\begin{document}$ BB^{*}\Upsilon $\end{document} ![]()
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\begin{document}$ B^{*}B^{*}\Upsilon $\end{document} ![]()
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\begin{document}$ BB^{*}\eta_{b} $\end{document} ![]()
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\begin{document}$ B^{*}B^{*}\eta_{b} $\end{document} ![]()
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\begin{document}$ \langle\overline{q}q\rangle $\end{document} ![]()
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\begin{document}$ \langle\overline{q}g_{s}\sigma Gq\rangle $\end{document} ![]()
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\begin{document}$ \langle g_{s}^{2}G^{2}\rangle $\end{document} ![]()
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\begin{document}$ \langle f^{3}G^{3}\rangle $\end{document} ![]()
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\begin{document}$ \langle\overline{q}q\rangle\langle g_{s}^{2}G^{2}\rangle $\end{document} ![]()
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\begin{document}$ g(Q^{2}) $\end{document} ![]()
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\begin{document}$ g_{BB\Upsilon}=40.67^{+7.55}_{-4.20} $\end{document} ![]()
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\begin{document}$ g_{BB^{*}\Upsilon}=11.58^{+2.19}_{-1.09} $\end{document} ![]()
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\begin{document}$ ^{-1} $\end{document} ![]()
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\begin{document}$ g_{B^{*}B^{*}\Upsilon}=57.02^{+5.32}_{-5.31} $\end{document} ![]()
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\begin{document}$ g_{BB^{*}\eta_{b}}=23.39^{+4.74}_{-2.30} $\end{document} ![]()
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\begin{document}$ g_{B^{*}B^{*}\eta_{b}}=12.49^{+2.12}_{-1.35} $\end{document} ![]()
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\begin{document}$ ^{-1} $\end{document} ![]()
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			In this study, the strong coupling constants of vertices
			            2024, 48(1): 013103. doi: 10.1088/1674-1137/ad0e03 
	   					
		        	
			        
		            	
		        
					Abstract: 
We investigate CP violation in the decay process\begin{document}$ \bar B_{s} \rightarrow \phi(\rho,\omega) P \rightarrow K^{+}K^{-}P $\end{document} ![]()
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\begin{document}$ \phi\rightarrow K^{+}K^{-} $\end{document} ![]()
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\begin{document}$ \rho\rightarrow K^{+}K^{-} $\end{document} ![]()
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\begin{document}$ \omega\rightarrow K^{+}K^{-} $\end{document} ![]()
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\begin{document}$ \eta' $\end{document} ![]()
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\begin{document}$ \phi-\rho^{0} $\end{document} ![]()
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\begin{document}$ \phi-\omega $\end{document} ![]()
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\begin{document}$ \omega-\rho^{0} $\end{document} ![]()
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\begin{document}$ \bar B_{s} \rightarrow K^{+}K^{-} P $\end{document} ![]()
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			We investigate CP violation in the decay process
			            2024, 48(1): 013104. doi: 10.1088/1674-1137/ad0f88 
	   					
		        	
			        
		            	
		        
					Abstract: 
We investigate fermionic dark matter interactions with standard model particles from an additional\begin{document}$ {{U}}(1)_{{X}} $\end{document} ![]()
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\begin{document}$ {{U}}(1)_{{X}} $\end{document} ![]()
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\begin{document}$ {{U}}(1)_{{Y}} $\end{document} ![]()
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\begin{document}$ {{U}}(1)_{{X}} $\end{document} ![]()
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\begin{document}$ {{U}}(1)_{{X}} $\end{document} ![]()
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			We investigate fermionic dark matter interactions with standard model particles from an additional
			            2024, 48(1): 013105. doi: 10.1088/1674-1137/ad0b6c 
	   					
		        	
			        
		            	
		        
					Abstract: 
Recent studies on high-multiplicity events in small collision systems (proton-proton and proton-lead) have drawn considerable research interest toward the possibility of the formation of partonic medium in such systems. One of the important consequences of the formation of dense partonic medium is the quenching of high-momentum final-state particles, resulting in several experimental observations such as suppression in nuclear modification factor\begin{document}$R_{\rm AA}$\end{document} ![]()
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\begin{document}$ \rho(r) $\end{document} ![]()
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\begin{document}$ z^{\rm ch} $\end{document} ![]()
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\begin{document}$ \rho(r) $\end{document} ![]()
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\begin{document}$ z^{\rm ch} $\end{document} ![]()
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\begin{document}$ \sqrt{s} $\end{document} ![]()
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\begin{document}$ \rho(r) $\end{document} ![]()
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\begin{document}$ z^{\rm ch} $\end{document} ![]()
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\begin{document}$ < p_{\rm T,\,jet}^{\rm ch}< $\end{document} ![]()
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\begin{document}$ \langle N_{\rm MPI}\rangle $\end{document} ![]()
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\begin{document}$ \rho(r) $\end{document} ![]()
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\begin{document}$ \rho(r) $\end{document} ![]()
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			Recent studies on high-multiplicity events in small collision systems (proton-proton and proton-lead) have drawn considerable research interest toward the possibility of the formation of partonic medium in such systems. One of the important consequences of the formation of dense partonic medium is the quenching of high-momentum final-state particles, resulting in several experimental observations such as suppression in nuclear modification factor
			            2024, 48(1): 014001. doi: 10.1088/1674-1137/ad0376 
	   					
		        	
			        
		            	
		        
					Abstract: 
An experiment was conducted for studying the cluster structure of\begin{document}$ ^9 $\end{document} ![]()
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\begin{document}$ ^3 $\end{document} ![]()
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\begin{document}$ \delta_2 $\end{document} ![]()
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\begin{document}$ 3/2\rightarrow5/2 $\end{document} ![]()
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			An experiment was conducted for studying the cluster structure of
			            2024, 48(1): 014101. doi: 10.1088/1674-1137/ad0453 
	   					
		        	
			        
		            	
		        
					Abstract: 
We present a systematic study of 6Li elastic scattering and total reaction cross sections at incident energies around the Coulomb barrier within the continuum discretized coupled-channels (CDCC) framework, where 6Li is treated in an α+d two-body model. Collisions with 27Al, 64Zn, 138Ba, and 208Pa are analyzed. The microscopic optical potentials (MOP) based on Skyrme nucleon-nucleon interaction for α and d are adopted in CDCC calculations and satisfactory agreement with the experimental data is obtained without any adjustment on MOPs. For comparison, α and d global phenomenological optical potentials (GOP) are also used in CDCC analysis and a reduction of no less than 50% on the surface imaginary part of deuteron GOP is required for describing the data. In all cases, the 6Li breakup effect is significant and provides repulsive correction to the folding model potential. The reduction on the surface imaginary part of GOP of deuteron reveals a strong suppression of the reaction probability of deuteron as a component of 6Li when compared with that of a free deuteron. Further investigation is performed by considering the d breakup process equivalently within the dynamic polarization potential approach, and the results show that d behaves in a manner similar to a tightly bound nucleus in 6Li induced reactions.
		       
		        
		        
		        
			  
			We present a systematic study of 6Li elastic scattering and total reaction cross sections at incident energies around the Coulomb barrier within the continuum discretized coupled-channels (CDCC) framework, where 6Li is treated in an α+d two-body model. Collisions with 27Al, 64Zn, 138Ba, and 208Pa are analyzed. The microscopic optical potentials (MOP) based on Skyrme nucleon-nucleon interaction for α and d are adopted in CDCC calculations and satisfactory agreement with the experimental data is obtained without any adjustment on MOPs. For comparison, α and d global phenomenological optical potentials (GOP) are also used in CDCC analysis and a reduction of no less than 50% on the surface imaginary part of deuteron GOP is required for describing the data. In all cases, the 6Li breakup effect is significant and provides repulsive correction to the folding model potential. The reduction on the surface imaginary part of GOP of deuteron reveals a strong suppression of the reaction probability of deuteron as a component of 6Li when compared with that of a free deuteron. Further investigation is performed by considering the d breakup process equivalently within the dynamic polarization potential approach, and the results show that d behaves in a manner similar to a tightly bound nucleus in 6Li induced reactions.
			            2024, 48(1): 014102. doi: 10.1088/1674-1137/ad021e 
	   					
		        	
			        
		            	
		        
					Abstract: 
The structure of the low-lying collective excitations in\begin{document}$ ^{102} $\end{document} ![]()
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			The structure of the low-lying collective excitations in
			            2024, 48(1): 014103. doi: 10.1088/1674-1137/ad0375 
	   					
		        	
			        
		            	
		        
					Abstract: 
We study the lepton pair production via the Bethe-Heitler mechanism in the deuteron breakup reaction. The complete seven-fold differential cross section is calculated with final state interactions taken into account. The deuteron bound state is described by a relativistic covariant deuteron-nucleon vertex. The numerical results indicate that the differential cross section is highly dependent on the lepton's azimuthal angle in regions of small polar angles and exhibits sharp peaks in the distribution over the invariant mass of the generated lepton pair or the two nucleons in the final state. We demonstrate that such a nearly singular feature originates from the collinearity between the produced lepton or antilepton and the incident photon, and it is physically regularized by the lepton mass in our calculation. The final state interaction between the knocked-out nucleon and recoil nucleon redistributes the differential cross section over the missing momentum, with a significant enhancement at a large missing momentum and a suppression in the intermediate region. With a further decomposition of the final state interaction contribution, It is found that the on-shell term dominates the near quasi-elastic region, while the off-shell term dominates the other end. Additionally, we examine the contribution from the interference between the proton amplitude and neutron amplitude, which, as expected, is found negligible even if the proton-neutron rescattering is included. The results of this study can serve as inputs for the analysis and background estimation of multiple exclusive measurements at Jefferson Lab and future electron-ion colliders.
		       
		        
		        
		        
			  
			We study the lepton pair production via the Bethe-Heitler mechanism in the deuteron breakup reaction. The complete seven-fold differential cross section is calculated with final state interactions taken into account. The deuteron bound state is described by a relativistic covariant deuteron-nucleon vertex. The numerical results indicate that the differential cross section is highly dependent on the lepton's azimuthal angle in regions of small polar angles and exhibits sharp peaks in the distribution over the invariant mass of the generated lepton pair or the two nucleons in the final state. We demonstrate that such a nearly singular feature originates from the collinearity between the produced lepton or antilepton and the incident photon, and it is physically regularized by the lepton mass in our calculation. The final state interaction between the knocked-out nucleon and recoil nucleon redistributes the differential cross section over the missing momentum, with a significant enhancement at a large missing momentum and a suppression in the intermediate region. With a further decomposition of the final state interaction contribution, It is found that the on-shell term dominates the near quasi-elastic region, while the off-shell term dominates the other end. Additionally, we examine the contribution from the interference between the proton amplitude and neutron amplitude, which, as expected, is found negligible even if the proton-neutron rescattering is included. The results of this study can serve as inputs for the analysis and background estimation of multiple exclusive measurements at Jefferson Lab and future electron-ion colliders.
			            2024, 48(1): 014104. doi: 10.1088/1674-1137/ad021d 
	   					
		        	
			        
		            	
		        
					Abstract: 
The new signature of liquid-gas phase transition has been well indicated by the higher-order fluctuations of the largest fragment charge, but the uncertainties of critical temperatures based on this signature have not been revealed. This study extracts the critical temperatures of liquid-gas phase transition in nuclear reactions and investigates their uncertainties. Utilizing the isospin-dependent quantum molecular dynamics model in conjunction with the statistical model GEMINI enables us to describe the dynamical path from the initial to the final state. An isotope thermometer and a quantum fluctuation thermometer are employed to extract the nuclear temperature. The higher-order fluctuations of the largest fragment charge and critical temperatures are studied in 124Sn + 120Sn collisions ranging from 400 to 1000 MeV/nucleon and 124Sn + AZ collisions at 600 MeV/nucleon. Observations revealed that the pseudo-critical point is robustly indicated by the higher-order fluctuations of the largest fragment charge. The critical temperatures extracted by the isotope thermometer are relatively consistent, with an uncertainty of 15%, while those obtained by the quantum fluctuation thermometer are heavily influenced by the incident energy and mass number of target nuclei. The excitation energy\begin{document}$ E^{*} $\end{document} ![]()
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\begin{document}$Z_{\rm bound}$\end{document} ![]()
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\begin{document}$Z_{\rm bound}$\end{document} ![]()
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\begin{document}$ E^{*} $\end{document} ![]()
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\begin{document}$Z_{\rm bound}$\end{document} ![]()
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\begin{document}$ E^{*} $\end{document} ![]()
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			The new signature of liquid-gas phase transition has been well indicated by the higher-order fluctuations of the largest fragment charge, but the uncertainties of critical temperatures based on this signature have not been revealed. This study extracts the critical temperatures of liquid-gas phase transition in nuclear reactions and investigates their uncertainties. Utilizing the isospin-dependent quantum molecular dynamics model in conjunction with the statistical model GEMINI enables us to describe the dynamical path from the initial to the final state. An isotope thermometer and a quantum fluctuation thermometer are employed to extract the nuclear temperature. The higher-order fluctuations of the largest fragment charge and critical temperatures are studied in 124Sn + 120Sn collisions ranging from 400 to 1000 MeV/nucleon and 124Sn + AZ collisions at 600 MeV/nucleon. Observations revealed that the pseudo-critical point is robustly indicated by the higher-order fluctuations of the largest fragment charge. The critical temperatures extracted by the isotope thermometer are relatively consistent, with an uncertainty of 15%, while those obtained by the quantum fluctuation thermometer are heavily influenced by the incident energy and mass number of target nuclei. The excitation energy
			            2024, 48(1): 014105. doi: 10.1088/1674-1137/ad0827 
	   					
		        	
			        
		            	
		        
					Abstract: 
In this study, we investigate the cluster radioactivity (CR) of new superheavy elements with\begin{document}$ Z=119 $\end{document} ![]()
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\begin{document}$ Z= $\end{document} ![]()
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			In this study, we investigate the cluster radioactivity (CR) of new superheavy elements with
			            2024, 48(1): 014106. doi: 10.1088/1674-1137/ad0b6b 
	   					
		        	
			        
		            	
		        
					Abstract: 
The level spectra of neutron-rich Sb isotopes have been investigated within a shell-model space containing cross-shell excitations and the intruder orbit\begin{document}$ i_{13/2} $\end{document} ![]()
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\begin{document}$ ^- $\end{document} ![]()
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\begin{document}$ ^- $\end{document} ![]()
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\begin{document}$ ^{135} $\end{document} ![]()
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\begin{document}$ i_{13/2} $\end{document} ![]()
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\begin{document}$ ^{136} $\end{document} ![]()
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\begin{document}$ f_{7/2} $\end{document} ![]()
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\begin{document}$ h_{9/2} $\end{document} ![]()
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\begin{document}$ ^+ $\end{document} ![]()
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\begin{document}$ ^{135,137} $\end{document} ![]()
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\begin{document}$ \pi d_{5/2} $\end{document} ![]()
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\begin{document}$ \pi d_{5/2} \nu f_{7/2} $\end{document} ![]()
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\begin{document}$ f_{7/2} $\end{document} ![]()
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\begin{document}$ ^{139} $\end{document} ![]()
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\begin{document}$ ^+ $\end{document} ![]()
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\begin{document}$ ^+ $\end{document} ![]()
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			The level spectra of neutron-rich Sb isotopes have been investigated within a shell-model space containing cross-shell excitations and the intruder orbit
			            2024, 48(1): 014107. doi: 10.1088/1674-1137/ad0bf2 
	   					
		        	
			        
		            	
		        
					Abstract: 
Magicity, or shell closure, plays an important role in our understanding of complex nuclear phenomena. In this work, we employ one of the state-of-the-art density functional theories, the deformed relativistic Hartree-Bogoliubov theory in continuum (DRHBc) with the density functional PC-PK1, to investigate the evolution of the\begin{document}$ N=20,28,50 $\end{document} ![]()
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\begin{document}$ 20 \leqslant Z \leqslant 30 $\end{document} ![]()
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\begin{document}$ 21 \leqslant Z \leqslant 27 $\end{document} ![]()
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\begin{document}$ N=50 $\end{document} ![]()
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\begin{document}$ N=28 $\end{document} ![]()
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\begin{document}$ N=20 $\end{document} ![]()
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			Magicity, or shell closure, plays an important role in our understanding of complex nuclear phenomena. In this work, we employ one of the state-of-the-art density functional theories, the deformed relativistic Hartree-Bogoliubov theory in continuum (DRHBc) with the density functional PC-PK1, to investigate the evolution of the
			            2024, 48(1): 015101. doi: 10.1088/1674-1137/ad010d 
	   					
		        	
			        
		            	
		        
					Abstract: 
In this study, we investigate exact spherically symmetric Gauss-Bonnet black hole solutions surrounded by a cloud of string fluid with the cosmological constant in\begin{document}$ D>4 $\end{document} ![]()
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			In this study, we investigate exact spherically symmetric Gauss-Bonnet black hole solutions surrounded by a cloud of string fluid with the cosmological constant in
			            2024, 48(1): 015102. doi: 10.1088/1674-1137/ad061f 
	   					
		        	
			        
		            	
		        
					Abstract: 
We perform a potential analysis for the holographic Schwinger effect in spinning Myers-Perry black holes. We compute the potential between the produced pair by evaluating the classical action of a string attached on a probe D3-brane at an intermediate position in the AdS bulk. We find that increasing the angular momentum reduces the potential barrier, thus enhancing the Schwinger effect, consistent with previous findings obtained via the local Lorentz transformation. In particular, these effects are more visible for the particle pair lying in the transversal plane compared with that along the longitudinal orientation. In addition, we discuss how the Schwinger effect changes with the shear viscosity to entropy density ratio at strong coupling under the influence of angular momentum.
		       
		        
		        
		        
			  
			We perform a potential analysis for the holographic Schwinger effect in spinning Myers-Perry black holes. We compute the potential between the produced pair by evaluating the classical action of a string attached on a probe D3-brane at an intermediate position in the AdS bulk. We find that increasing the angular momentum reduces the potential barrier, thus enhancing the Schwinger effect, consistent with previous findings obtained via the local Lorentz transformation. In particular, these effects are more visible for the particle pair lying in the transversal plane compared with that along the longitudinal orientation. In addition, we discuss how the Schwinger effect changes with the shear viscosity to entropy density ratio at strong coupling under the influence of angular momentum.
			            2024, 48(1): 015103. doi: 10.1088/1674-1137/ad0962 
	   					
		        	
			        
		            	
		        
					Abstract: 
This study examines a recently hypothesized black hole, which is a perfect solution of metric-affine gravity with a positive cosmological constant, and its thermodynamic features as well as the Joule-Thomson expansion. We develop some thermodynamical quantities, such as volume, Gibbs free energy, and heat capacity, using the entropy and Hawking temperature. We also examine the first law of thermodynamics and thermal fluctuations, which might eliminate certain black hole instabilities. In this regard, a phase transition from unstable to stable is conceivable when the first law order corrections are present. In addition, we study the efficiency of this system as a heat engine and the effect of metric-affine gravity for the physical parameters\begin{document}$ q_e $\end{document} ![]()
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\begin{document}$ q_m $\end{document} ![]()
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\begin{document}$\kappa_{s}$\end{document} ![]()
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\begin{document}$\kappa_{d}$\end{document} ![]()
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\begin{document}$ \kappa_{\mathrm{sh}} $\end{document} ![]()
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\begin{document}$ T_i -P_i $\end{document} ![]()
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			This study examines a recently hypothesized black hole, which is a perfect solution of metric-affine gravity with a positive cosmological constant, and its thermodynamic features as well as the Joule-Thomson expansion. We develop some thermodynamical quantities, such as volume, Gibbs free energy, and heat capacity, using the entropy and Hawking temperature. We also examine the first law of thermodynamics and thermal fluctuations, which might eliminate certain black hole instabilities. In this regard, a phase transition from unstable to stable is conceivable when the first law order corrections are present. In addition, we study the efficiency of this system as a heat engine and the effect of metric-affine gravity for the physical parameters
			            2024, 48(1): 015104. doi: 10.1088/1674-1137/ad0b6a 
	   					
		        	
			        
		            	
		        
					Abstract: 
The influence of intergalactic magnetic fields on the strong gravitational lensing of blazar secondary gamma radiation is discussed. Currently, two cases of strong gravitational lensing of blazar gamma-radiation are known, where radiation is deflected by galaxies on the line of sight between the blazars and Earth. The magnetic field can affect the movements of electron-positron pairs generated by primary radiation, thereby changing the directions of secondary gamma radiation. It modifies the equation of the gravitational lens and leads to the dependence of the observed signal in the secondary gamma radiation on the energy of photons and magnetic field. Accordingly, it is possible, in principle, to estimate the intergalactic magnetic fields from the time delay of signals, from the angular position of images (for future high-resolution gamma-ray telescopes) or from the shape of the observed energy spectrum. This method is demonstrated by the example of the blazar B0218+357. In this case, however, it is not possible to obtain useful constraints due to the large distances to the blazar and lens galaxy. The result is only a lower limit on the magnetic field\begin{document}$ B>2\times10^{-17} $\end{document} ![]()
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\begin{document}$ \sim0.1''$\end{document} ![]()
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			The influence of intergalactic magnetic fields on the strong gravitational lensing of blazar secondary gamma radiation is discussed. Currently, two cases of strong gravitational lensing of blazar gamma-radiation are known, where radiation is deflected by galaxies on the line of sight between the blazars and Earth. The magnetic field can affect the movements of electron-positron pairs generated by primary radiation, thereby changing the directions of secondary gamma radiation. It modifies the equation of the gravitational lens and leads to the dependence of the observed signal in the secondary gamma radiation on the energy of photons and magnetic field. Accordingly, it is possible, in principle, to estimate the intergalactic magnetic fields from the time delay of signals, from the angular position of images (for future high-resolution gamma-ray telescopes) or from the shape of the observed energy spectrum. This method is demonstrated by the example of the blazar B0218+357. In this case, however, it is not possible to obtain useful constraints due to the large distances to the blazar and lens galaxy. The result is only a lower limit on the magnetic field
ISSN 1674-1137 CN 11-5641/O4
Original research articles, Ietters and reviews Covering theory and experiments in the fieids of
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