2022 Vol. 46, No. 12
Display Method: |
			            2022, 46(12): 122001. doi: 10.1088/1674-1137/ac89d0 
	   					
		        	
			        
		            	
		        
					Abstract: 
Conceptually, radii are amongst the simplest Poincaré-invariant properties that can be associated with hadrons and light nuclei. Accurate values of these quantities are necessary so that one may judge the character of putative solutions to the strong interaction problem within the Standard Model. However, limiting their ability to serve in this role, recent measurements and new analyses of older data have revealed uncertainties and imprecisions in the radii of the proton, pion, kaon, and deuteron. In the context of radius measurement using electron+hadron elastic scattering, the past decade has shown that reliable extraction requires minimisation of bias associated with practitioner-dependent choices of data fitting functions. Different answers to that challenge have been offered; and this perspective describes the statistical Schlessinger point method (SPM), in unifying applications to proton, pion, kaon, and deuteron radii. Grounded in analytic function theory, independent of assumptions about underlying dynamics, free from practitioner-induced bias, and applicable in the same form to diverse systems and observables, the SPM returns an objective expression of the information contained in any data under consideration. Its robust nature and versatility make it suitable for use in many branches of experiment and theory.
		       
		        
		        
		        
			  
			Conceptually, radii are amongst the simplest Poincaré-invariant properties that can be associated with hadrons and light nuclei. Accurate values of these quantities are necessary so that one may judge the character of putative solutions to the strong interaction problem within the Standard Model. However, limiting their ability to serve in this role, recent measurements and new analyses of older data have revealed uncertainties and imprecisions in the radii of the proton, pion, kaon, and deuteron. In the context of radius measurement using electron+hadron elastic scattering, the past decade has shown that reliable extraction requires minimisation of bias associated with practitioner-dependent choices of data fitting functions. Different answers to that challenge have been offered; and this perspective describes the statistical Schlessinger point method (SPM), in unifying applications to proton, pion, kaon, and deuteron radii. Grounded in analytic function theory, independent of assumptions about underlying dynamics, free from practitioner-induced bias, and applicable in the same form to diverse systems and observables, the SPM returns an objective expression of the information contained in any data under consideration. Its robust nature and versatility make it suitable for use in many branches of experiment and theory.
			            2022, 46(12): 122002. doi: 10.1088/1674-1137/ac87f1 
	   					
		        	
			        
		            	
		        
					Abstract: 
It is well known that when vacuum polarization emerges in quantum electrodynamics, the non-linear interaction between electromagnetic fields should be considered. Moreover, the corresponding field of non-linear electrodynamics can have important effects on black hole physics. In this work, we focus on the relationship between an observable quantity, that is, the shadow radius, and the first-order phase transition of non-linear charged AdS black holes in the framework of Einstein-power-Yang-Mills gravity. The results show that, under a certain condition, there exists a first-order phase transition from the viewpoint of both the shadow radius and horizon radius, which depend on temperature (or pressure). From the viewpoint of the shadow radius, the phase transition temperature is higher than that from the viewpoint of the horizon radius under the same condition. This may be due to the non-linear Yang Mills charge and the gravitational effect. This indicates that the shadow radius can be regarded as a probe to reveal the thermodynamic phase transition information of black holes. The thermal profiles of coexistent large and small black hole phases when the system is undergoing the phase transition are presented for two different values of the non-linear Yang Mills charge parameter:\begin{document}$ \gamma=1,\; 1.5 $\end{document} ![]()
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			It is well known that when vacuum polarization emerges in quantum electrodynamics, the non-linear interaction between electromagnetic fields should be considered. Moreover, the corresponding field of non-linear electrodynamics can have important effects on black hole physics. In this work, we focus on the relationship between an observable quantity, that is, the shadow radius, and the first-order phase transition of non-linear charged AdS black holes in the framework of Einstein-power-Yang-Mills gravity. The results show that, under a certain condition, there exists a first-order phase transition from the viewpoint of both the shadow radius and horizon radius, which depend on temperature (or pressure). From the viewpoint of the shadow radius, the phase transition temperature is higher than that from the viewpoint of the horizon radius under the same condition. This may be due to the non-linear Yang Mills charge and the gravitational effect. This indicates that the shadow radius can be regarded as a probe to reveal the thermodynamic phase transition information of black holes. The thermal profiles of coexistent large and small black hole phases when the system is undergoing the phase transition are presented for two different values of the non-linear Yang Mills charge parameter:
			            2022, 46(12): 123001. doi: 10.1088/1674-1137/ac8bc9 
	   					
		        	
			        
		            	
		        
					Abstract: 
JUNO is a multi-purpose neutrino observatory under construction in the south of China. This publication presents new sensitivity estimates for the measurement of the\begin{document}$ \Delta m^2_{31} $\end{document} ![]()
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\begin{document}$ \Delta m^2_{21} $\end{document} ![]()
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\begin{document}$ \sin^2 \theta_{12} $\end{document} ![]()
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\begin{document}$ \sin^2 \theta_{13} $\end{document} ![]()
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\begin{document}$ \Delta m^2_{21} $\end{document} ![]()
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\begin{document}$ \sin^2 \theta_{12} $\end{document} ![]()
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\begin{document}$ \Delta m^2_{31} $\end{document} ![]()
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\begin{document}$0.2$\end{document} ![]()
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			JUNO is a multi-purpose neutrino observatory under construction in the south of China. This publication presents new sensitivity estimates for the measurement of the
			            2022, 46(12): 123101. doi: 10.1088/1674-1137/ac878c 
	   					
		        	
			        
		            	
		        
					Abstract: 
Exclusive\begin{document}$ \pi^0 $\end{document} ![]()
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\begin{document}$ H_{\rm T} $\end{document} ![]()
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\begin{document}$ \bar E_{\rm T} $\end{document} ![]()
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\begin{document}$ \pi^0 $\end{document} ![]()
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\begin{document}$ \sigma_{\rm T}\gg\sigma_{\rm L} $\end{document} ![]()
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			Exclusive
			            2022, 46(12): 123102. doi: 10.1088/1674-1137/ac8789 
	   					
		        	
			        
		            	
		        
					Abstract: 
A three Higgs-doublet model exhibiting\begin{document}$S_3$\end{document} ![]()
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\begin{document}$S_3$\end{document} ![]()
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			A three Higgs-doublet model exhibiting
			            2022, 46(12): 123103. doi: 10.1088/1674-1137/ac88bd 
	   					
		        	
			        
		            	
		        
					Abstract: 
The perturbative quantum chromodynamics (PQCD) approach based on\begin{document}$ k_T $\end{document} ![]()
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\begin{document}$ B\to PP, PV, VV $\end{document} ![]()
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\begin{document}${C P}$\end{document} ![]()
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\begin{document}${C P}$\end{document} ![]()
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\begin{document}$ K \pi $\end{document} ![]()
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\begin{document}$ B \to K \pi $\end{document} ![]()
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			The perturbative quantum chromodynamics (PQCD) approach based on
			            2022, 46(12): 123104. doi: 10.1088/1674-1137/ac88bb 
	   					
		        	
			        
		            	
		        
					Abstract: 
In the framework of the 3-3-1 model with neutral leptons, we investigate lepton-flavor-violating sources based on the Higgs mass spectrum, which has two neutral Higgs identified with the corresponding ones of the two-Higgs-doublet model. We note that at the\begin{document}$ 13\; {\rm{TeV}} $\end{document} ![]()
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\begin{document}$ e_i \rightarrow  e_j\gamma $\end{document} ![]()
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\begin{document}$ h^0_1\rightarrow  \mu \tau $\end{document} ![]()
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\begin{document}$ {\rm{Br}}(h^0_1\rightarrow  \mu \tau) $\end{document} ![]()
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\begin{document}$ 10^{-4} $\end{document} ![]()
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			In the framework of the 3-3-1 model with neutral leptons, we investigate lepton-flavor-violating sources based on the Higgs mass spectrum, which has two neutral Higgs identified with the corresponding ones of the two-Higgs-doublet model. We note that at the
			            2022, 46(12): 123105. doi: 10.1088/1674-1137/ac89d1 
	   					
		        	
			        
		            	
		        
					Abstract: 
In this study, we investigate quasi-two-body\begin{document}$ B_{(s)}\to K^*\gamma\to K\pi\gamma $\end{document} ![]()
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\begin{document}$ K\pi $\end{document} ![]()
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\begin{document}$ B_{(s)}\to K^*\gamma\to K\pi\gamma $\end{document} ![]()
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\begin{document}$ A_{CP}(B_{u,d}\to K^*\gamma\to K\pi\gamma) $\end{document} ![]()
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\begin{document}$1$\end{document} ![]()
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\begin{document}$ A_{CP}(B_{s}\to $\end{document} ![]()
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\begin{document}$ K^*\gamma\to K\pi\gamma) $\end{document} ![]()
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			In this study, we investigate quasi-two-body
			            2022, 46(12): 123106. doi: 10.1088/1674-1137/ac8c21 
	   					
		        	
			        
		            	
		        
					Abstract: 
Motivated by the analogous properties of\begin{document}$ Z_c(3900/3885) $\end{document} ![]()
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\begin{document}$ Z_{cs}(3985/4000) $\end{document} ![]()
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\begin{document}$ Z_c(4020/4025) $\end{document} ![]()
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\begin{document}$ A{\bar{A}} $\end{document} ![]()
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\begin{document}$ J^{PC}=1^{+-} $\end{document} ![]()
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\begin{document}$ A{\bar{A}} $\end{document} ![]()
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\begin{document}$ Z_c(4020/4025) $\end{document} ![]()
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\begin{document}$ A{\bar{A}} $\end{document} ![]()
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\begin{document}$ J^{PC}=1^{+-} $\end{document} ![]()
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\begin{document}$ Z_{cs} $\end{document} ![]()
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			Motivated by the analogous properties of
			            2022, 46(12): 123107. doi: 10.1088/1674-1137/ac8cd5 
	   					
		        	
			        
		            	
		        
					Abstract: 
The W mass determination at the Tevatron CDF experiment reported a deviation from the SM expectation at the 7σ level. We discuss a few possible interpretations and their collider implications. We perform electroweak global fits under various frameworks and assumptions. We consider three types of electroweak global fits in the effective-field-theory framework: the S-T, S-T-\begin{document}$ \delta G_F $\end{document} ![]()
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\begin{document}$ m_W $\end{document} ![]()
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\begin{document}$ m_W $\end{document} ![]()
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\begin{document}$ Z' $\end{document} ![]()
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			The W mass determination at the Tevatron CDF experiment reported a deviation from the SM expectation at the 7σ level. We discuss a few possible interpretations and their collider implications. We perform electroweak global fits under various frameworks and assumptions. We consider three types of electroweak global fits in the effective-field-theory framework: the S-T, S-T-
			            2022, 46(12): 123108. doi: 10.1088/1674-1137/ac92d8 
	   					
		        	
			        
		            	
		        
					Abstract: 
We study a double covering of modular\begin{document}$ A_4 $\end{document} ![]()
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\begin{document}$ A_4 $\end{document} ![]()
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			We study a double covering of modular
			            2022, 46(12): 123109. doi: 10.1088/1674-1137/ac92da 
	   					
		        	
			        
		            	
		        
					Abstract: 
We conducted a detailed study on the properties of the total decay width of the Higgs decay channel\begin{document}$ H\to gg $\end{document} ![]()
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\begin{document}$ \alpha_s^6 $\end{document} ![]()
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\begin{document}$ _\infty $\end{document} ![]()
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\begin{document}$ _\infty $\end{document} ![]()
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\begin{document}$ \Gamma (H \to gg)|_{\rm PMC_\infty} =336.42^{+7.01}_{-6.92} $\end{document} ![]()
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			We conducted a detailed study on the properties of the total decay width of the Higgs decay channel
			            2022, 46(12): 123110. doi: 10.1088/1674-1137/ac930b 
	   					
		        	
			        
		            	
		        
					Abstract: 
We study the dependence of the transverse mass distribution of charged leptons and the missing energy on parton distributions (PDFs) adapted to W boson mass measurements at the CDF and ATLAS experiments. We compare the shape variations of the distribution induced by different PDFs and find that the spread of predictions from different PDF sets can be significantly larger than the PDF uncertainty predicted by a specific PDF set. We suggest analyzing the experimental data using up-to-date PDFs to gain a better understanding of the PDF uncertainties in W boson mass measurements. We also perform a series of Lagrange multiplier scans to identify the constraints on the transverse mass distribution imposed by individual data sets in the CT18 global analysis. In the case of the CDF measurement, the distribution is mostly sensitive to d-quark PDFs in the intermediate x region, which are largely constrained by DIS and Drell-Yan data on deuteron targets and Tevatron lepton charge asymmetry data.
		       
		        
		        
		        
			  
			We study the dependence of the transverse mass distribution of charged leptons and the missing energy on parton distributions (PDFs) adapted to W boson mass measurements at the CDF and ATLAS experiments. We compare the shape variations of the distribution induced by different PDFs and find that the spread of predictions from different PDF sets can be significantly larger than the PDF uncertainty predicted by a specific PDF set. We suggest analyzing the experimental data using up-to-date PDFs to gain a better understanding of the PDF uncertainties in W boson mass measurements. We also perform a series of Lagrange multiplier scans to identify the constraints on the transverse mass distribution imposed by individual data sets in the CT18 global analysis. In the case of the CDF measurement, the distribution is mostly sensitive to d-quark PDFs in the intermediate x region, which are largely constrained by DIS and Drell-Yan data on deuteron targets and Tevatron lepton charge asymmetry data.
			            2022, 46(12): 123111. doi: 10.1088/1674-1137/ac8651 
	   					
		        	
			        
		            	
		        
					Abstract: 
In this study, the magnetic moments of hidden-charm strange pentaquark states with quantum numbers\begin{document}$ J^P={\dfrac{1}{2}}^{\pm} $\end{document} ![]()
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\begin{document}$ {\dfrac{3}{2}}^{\pm} $\end{document} ![]()
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\begin{document}$ {\dfrac{5}{2}}^{\pm} $\end{document} ![]()
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\begin{document}$ {\dfrac{7}{2}}^{+} $\end{document} ![]()
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			In this study, the magnetic moments of hidden-charm strange pentaquark states with quantum numbers
			            2022, 46(12): 124001. doi: 10.1088/1674-1137/ac878a 
	   					
		        	
			        
		            	
		        
					Abstract: 
The flux-averaged cross-sections\begin{document}$\langle{\sigma(E_{\rm{\gamma max}})}\rangle$\end{document} ![]()
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\begin{document}${^{65}{\rm{Cu}}}(\gamma,n)^{64}{\rm{Cu}}$\end{document} ![]()
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\begin{document}${^{63}{\rm{Cu}}}(\gamma,n)^{62}{\rm{Cu}}$\end{document} ![]()
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\begin{document}${^{63}{\rm{Cu}}}(\gamma,2n)^{61}{\rm{Cu}}$\end{document} ![]()
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\begin{document}${^{63}{\rm{Cu}}}(\gamma,3n)^{60}{\rm{Cu}}$\end{document} ![]()
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\begin{document}$E_{\rm{\gamma max}}$\end{document} ![]()
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\begin{document}$\langle{\sigma(E_{\rm{\gamma max}})}\rangle_{\rm{th}}$\end{document} ![]()
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\begin{document}$\sigma(E)$\end{document} ![]()
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\begin{document}${^{65}{\rm{Cu}}}(\gamma,n)^{64}{\rm{Cu}}$\end{document} ![]()
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\begin{document}${^{63}{\rm{Cu}}}(\gamma,n)^{62}{\rm{Cu}}$\end{document} ![]()
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\begin{document}${^{63}{\rm{Cu}}}(\gamma,2n)^{61}{\rm{Cu}}$\end{document} ![]()
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\begin{document}$\langle{\sigma(E_{\rm{\gamma max}})}\rangle$\end{document} ![]()
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\begin{document}$(\gamma,n)$\end{document} ![]()
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\begin{document}$(\gamma,2n)$\end{document} ![]()
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\begin{document}${^{63}{\rm{Cu}}}$\end{document} ![]()
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\begin{document}${^{65}{\rm{Cu}}}$\end{document} ![]()
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\begin{document}${^{63}{\rm{Cu}}}(\gamma,3n)^{60}{\rm{Cu}}$\end{document} ![]()
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\begin{document}$\langle{\sigma(E_{\rm{\gamma max}})}\rangle$\end{document} ![]()
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			The flux-averaged cross-sections
			            2022, 46(12): 124101. doi: 10.1088/1674-1137/ac8867 
	   					
		        	
			        
		            	
		        
					Abstract: 
The influence of the neck parameter on the fission dynamics at low excitation energy is studied based on the three-dimensional Langevin approach, in which the nuclear shape is described with the two-center shell model (TCSM) parametrization, and the elongation, mass asymmetry, and fragment deformation are set to be the generalized coordinates of the Langevin equation. We first study the influence of the neck parameter on the scission configuration. We find that there is almost no obvious correlation between the neck parameter\begin{document}$ \epsilon $\end{document} ![]()
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\begin{document}$ \epsilon $\end{document} ![]()
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\begin{document}$ Z_0/R_0 $\end{document} ![]()
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\begin{document}$ \epsilon $\end{document} ![]()
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\begin{document}$ ^{233,235,238} $\end{document} ![]()
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\begin{document}$ ^{239} $\end{document} ![]()
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\begin{document}$ ^{235} $\end{document} ![]()
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\begin{document}$ \epsilon $\end{document} ![]()
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\begin{document}$ \epsilon $\end{document} ![]()
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\begin{document}$ \epsilon $\end{document} ![]()
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			The influence of the neck parameter on the fission dynamics at low excitation energy is studied based on the three-dimensional Langevin approach, in which the nuclear shape is described with the two-center shell model (TCSM) parametrization, and the elongation, mass asymmetry, and fragment deformation are set to be the generalized coordinates of the Langevin equation. We first study the influence of the neck parameter on the scission configuration. We find that there is almost no obvious correlation between the neck parameter
			            2022, 46(12): 124102. doi: 10.1088/1674-1137/ac8a8c 
	   					
		        	
			        
		            	
		        
					Abstract: 
The level structure of the double-magic nucleus 34Si (Z = 14, N = 20) was investigated by evaluating the available data. On the basis of experimental results from the beta-decay and fusion-evaporation reactions, we established the level scheme by assigning spin-parities up to 61+ at 6233 keV. The high energy positions of the excited states are consistent with the magicity at 34Si, such as the 22+ state of the spherical ground band at 4.519 MeV and the 3-, 4-, and 5- states of the one-particle one-hole cross-shell states at approximately 4.5 MeV. This nucleus, for a long time, has attracted much attention because of, on one side, a proton bubble structure in the ground state and, on the other side, a deformation in the second 0+ state, 02+. By a comparison of the constructed level scheme with the shell model calculations, we describe the emerging structures in the ground and second 0+ states and the negative-parity 3- states within the framework of the shell model context. We propose a deformed rotational band with the cascading 62+ − 41+ − 21+ transitions built on the 02+ state.
		       
		        
		        
		        
			  
			The level structure of the double-magic nucleus 34Si (Z = 14, N = 20) was investigated by evaluating the available data. On the basis of experimental results from the beta-decay and fusion-evaporation reactions, we established the level scheme by assigning spin-parities up to 61+ at 6233 keV. The high energy positions of the excited states are consistent with the magicity at 34Si, such as the 22+ state of the spherical ground band at 4.519 MeV and the 3-, 4-, and 5- states of the one-particle one-hole cross-shell states at approximately 4.5 MeV. This nucleus, for a long time, has attracted much attention because of, on one side, a proton bubble structure in the ground state and, on the other side, a deformation in the second 0+ state, 02+. By a comparison of the constructed level scheme with the shell model calculations, we describe the emerging structures in the ground and second 0+ states and the negative-parity 3- states within the framework of the shell model context. We propose a deformed rotational band with the cascading 62+ − 41+ − 21+ transitions built on the 02+ state.
			            2022, 46(12): 124103. doi: 10.1088/1674-1137/ac8c23 
	   					
		        	
			        
		            	
		        
					Abstract: 
We calculate the HBT radius\begin{document}$ R_{\rm {s}} $\end{document} ![]()
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\begin{document}$ \pi^+ $\end{document} ![]()
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\begin{document}$ R_{\rm {s}} $\end{document} ![]()
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			We calculate the HBT radius
			            2022, 46(12): 124104. doi: 10.1088/1674-1137/ac92d9 
	   					
		        	
			        
		            	
		        
					Abstract: 
A partial wave scattering matrix for the total effective complex potential of nucleus nucleus collisions is proposed to easily analyze the angular variations of elastic scattering and fusion cross-sections simultaneously with a unique potential. The expectation value of the imaginary part of the potential calculated using the distorted waves from the full potential in the elastic channel accounts for\begin{document}$ \sigma_r $\end{document} ![]()
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\begin{document}$D(E_{{\rm c.m.}})=\dfrac{{\rm d}^{2}(E_{{\rm c.m.}}\sigma_{{\rm fus}})}{{\rm d}E_{{\rm c.m.}}^{2}}$\end{document} ![]()
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\begin{document}$D(E_{{\rm c.m.}})$\end{document} ![]()
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\begin{document}$\rm ^{16}O+^{92}Zr$\end{document} ![]()
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			A partial wave scattering matrix for the total effective complex potential of nucleus nucleus collisions is proposed to easily analyze the angular variations of elastic scattering and fusion cross-sections simultaneously with a unique potential. The expectation value of the imaginary part of the potential calculated using the distorted waves from the full potential in the elastic channel accounts for
			            2022, 46(12): 125101. doi: 10.1088/1674-1137/ac878b 
	   					
		        	
			        
		            	
		        
					Abstract: 
We study the dynamical properties of the thermodynamic phase transition (PT) of a charged AdS black hole (BH) with a global monopole via the Gibbs free energy landscape and reveal the effects of the global monopole on the kinetics of thermodynamic PTs. First, we briefly review the thermodynamics of a charged AdS BH with a global monopole. Then, we introduce the Gibbs free energy landscape to investigate the thermodynamic stability of the BH states. Because of thermal fluctuations, the small black hole (SBH) state can transit to a large black hole (LBH) state, and vice versa. Further, we use the Fokker-Planck equation with the reflecting boundary condition to study the probability evolution of the BH state with and without a global monopole separately. It is found that for both the SBH and LBH states, the global monopole could slow down the evolution of the BH state. In addition, we obtain the relationship between the first passage time and the monopole parameter η. The result shows that as the monopole parameter η increases, the mean first passage time becomes longer for both the SBH and LBH states.
		       
		        
		        
		        
			  
			We study the dynamical properties of the thermodynamic phase transition (PT) of a charged AdS black hole (BH) with a global monopole via the Gibbs free energy landscape and reveal the effects of the global monopole on the kinetics of thermodynamic PTs. First, we briefly review the thermodynamics of a charged AdS BH with a global monopole. Then, we introduce the Gibbs free energy landscape to investigate the thermodynamic stability of the BH states. Because of thermal fluctuations, the small black hole (SBH) state can transit to a large black hole (LBH) state, and vice versa. Further, we use the Fokker-Planck equation with the reflecting boundary condition to study the probability evolution of the BH state with and without a global monopole separately. It is found that for both the SBH and LBH states, the global monopole could slow down the evolution of the BH state. In addition, we obtain the relationship between the first passage time and the monopole parameter η. The result shows that as the monopole parameter η increases, the mean first passage time becomes longer for both the SBH and LBH states.
			            2022, 46(12): 125102. doi: 10.1088/1674-1137/ac87f0 
	   					
		        	
			        
		            	
		        
					Abstract: 
We investigate generalized Jackiw-Teitelboim gravity, coupling the dilaton field with two scalar matter fields. We obtain the equations of motion for the fields and investigate a linear perturbation of the solutions in general. We study two specific situations that allow for analytic solutions with topological behavior and check how the dilaton field, the warp factor and the Ricci scalar behave. In particular, we show how the parameters can be used to modify the structure of the solutions. Moreover, the perturbations are, in general, described by intricate coupled differential equations, but in some specific cases, we can construct the corresponding zero modes analytically.
		       
		        
		        
		        
			  
			We investigate generalized Jackiw-Teitelboim gravity, coupling the dilaton field with two scalar matter fields. We obtain the equations of motion for the fields and investigate a linear perturbation of the solutions in general. We study two specific situations that allow for analytic solutions with topological behavior and check how the dilaton field, the warp factor and the Ricci scalar behave. In particular, we show how the parameters can be used to modify the structure of the solutions. Moreover, the perturbations are, in general, described by intricate coupled differential equations, but in some specific cases, we can construct the corresponding zero modes analytically.
			            2022, 46(12): 125103. doi: 10.1088/1674-1137/ac8868 
	   					
		        	
			        
		            	
		        
					Abstract: 
In this study, we investigate the collapsing scenario for the k-essence emergent Vaidya spacetime in the context of massive gravity's rainbow. For this study, we consider that the background metric is Vaidya spacetime in massive gravity's rainbow. We show that the k-essence emergent gravity metric closely resembles the new type of generalized Vaidya massive gravity metric with the rainbow deformations for null fluid collapse, where we consider the k-essence scalar field as a function solely of the advanced or the retarded time. The k-essence emergent Vaidya massive gravity rainbow mass function is also different. This new type k-essence emergent Vaidya massive gravity rainbow metric satisfies the required energy conditions. The existence of a locally naked central singularity and the strength and strongness of the singularities for the rainbow deformations of the k-essence emergent Vaidya massive gravity metric are the interesting outcomes of the present work.
		       
		        
		        
		        
			  
			In this study, we investigate the collapsing scenario for the k-essence emergent Vaidya spacetime in the context of massive gravity's rainbow. For this study, we consider that the background metric is Vaidya spacetime in massive gravity's rainbow. We show that the k-essence emergent gravity metric closely resembles the new type of generalized Vaidya massive gravity metric with the rainbow deformations for null fluid collapse, where we consider the k-essence scalar field as a function solely of the advanced or the retarded time. The k-essence emergent Vaidya massive gravity rainbow mass function is also different. This new type k-essence emergent Vaidya massive gravity rainbow metric satisfies the required energy conditions. The existence of a locally naked central singularity and the strength and strongness of the singularities for the rainbow deformations of the k-essence emergent Vaidya massive gravity metric are the interesting outcomes of the present work.
			            2022, 46(12): 125104. doi: 10.1088/1674-1137/ac8c22 
	   					
		        	
			        
		            	
		        
					Abstract: 
In this study, we consider an open system from the thermodynamic perspective for an adiabatic FRW universe model in which particle creation occurs within the system. In this case, the modified continuity equation is obtained, and then, we make it correspond to the continuity equation of\begin{document}$ f(T) $\end{document} ![]()
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\begin{document}$ f(T) $\end{document} ![]()
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\begin{document}$ f(T) $\end{document} ![]()
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			In this study, we consider an open system from the thermodynamic perspective for an adiabatic FRW universe model in which particle creation occurs within the system. In this case, the modified continuity equation is obtained, and then, we make it correspond to the continuity equation of
			            2022, 46(12): 125105. doi: 10.1088/1674-1137/ac8e53 
	   					
		        	
			        
		            	
		        
					Abstract: 
In this work, the microstructure of charged AdS black holes under minimal length effects is investigated. We study the thermodynamics of black holes in the extended phase space, where the cosmological constant is regarded as the thermodynamic pressure. The modified Hawking temperature and phase transition are obtained based on the generalized uncertainty principle (GUP). Then, using thermodynamic geometry, the microstructure of black holes can be determined by the ratio of the GUP parameter to charge. For a small ratio, the black hole exhibits the typical RN-AdS microstructure with van der Waals phase transition and repulsive/attractive interactions. As the ratio increases, the reentrant phase transition is observed, and both the repulsion-attraction coexisted and the attraction dominated black holes are noted. For a large ratio, the black hole behaves like a Schwarzchild-AdS black hole in which neither phase transition nor repulsive interaction are observed. These results suggest that the GUP effect will reduce the repulsive interaction presented by the charged AdS black hole.
		       
		        
		        
		        
			  
			In this work, the microstructure of charged AdS black holes under minimal length effects is investigated. We study the thermodynamics of black holes in the extended phase space, where the cosmological constant is regarded as the thermodynamic pressure. The modified Hawking temperature and phase transition are obtained based on the generalized uncertainty principle (GUP). Then, using thermodynamic geometry, the microstructure of black holes can be determined by the ratio of the GUP parameter to charge. For a small ratio, the black hole exhibits the typical RN-AdS microstructure with van der Waals phase transition and repulsive/attractive interactions. As the ratio increases, the reentrant phase transition is observed, and both the repulsion-attraction coexisted and the attraction dominated black holes are noted. For a large ratio, the black hole behaves like a Schwarzchild-AdS black hole in which neither phase transition nor repulsive interaction are observed. These results suggest that the GUP effect will reduce the repulsive interaction presented by the charged AdS black hole.
			            2022, 46(12): 125106. doi: 10.1088/1674-1137/ac90af 
	   					
		        	
			        
		            	
		        
					Abstract: 
In this study, we investigate the influence of the angular momentum of a charged particle around non-extremal and extremal Einstein-Maxwell-Dilaton-Axion black holes on the Lyapunov exponent. The angular momentum's ranges and spatial regions where the bound of the exponent is violated are found for certain values of the rotation parameter and dilatonic constant of the black holes. This violation always exists when the rotation parameter is large enough and the rotation direction of the particle is opposite to that of the black holes. The spatial region outside the extremal black hole of the violation is relatively large. In the near-horizon regions of the extremal black holes, the violation depends on the rotation directions of the black holes and particles and not depend on the value of the angular momentum.
		       
		        
		        
		        
			  
			In this study, we investigate the influence of the angular momentum of a charged particle around non-extremal and extremal Einstein-Maxwell-Dilaton-Axion black holes on the Lyapunov exponent. The angular momentum's ranges and spatial regions where the bound of the exponent is violated are found for certain values of the rotation parameter and dilatonic constant of the black holes. This violation always exists when the rotation parameter is large enough and the rotation direction of the particle is opposite to that of the black holes. The spatial region outside the extremal black hole of the violation is relatively large. In the near-horizon regions of the extremal black holes, the violation depends on the rotation directions of the black holes and particles and not depend on the value of the angular momentum.
			            2022, 46(12): 125107. doi: 10.1088/1674-1137/ac917f 
	   					
		        	
			        
		            	
		        
					Abstract: 
In this study, we observe that, in the presence of the string cloud parameter a and the quintessence parameter γ, with the equation of state parameter\begin{document}$ \omega_q={-2}/{3} $\end{document} ![]()
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			In this study, we observe that, in the presence of the string cloud parameter a and the quintessence parameter γ, with the equation of state parameter
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