Highlights
  • Systematic study of cluster radioactivity in trans-lead nuclei with various versions of proximity potential formalisms
    In this study, based on the framework of the Coulomb and proximity potential model (CPPM), we systematically investigate the cluster radioactivity half-lives of 26 trans-lead nuclei by considering the cluster preformation probability, which possesses a simple mass dependence on the emitted cluster according to R. Blendowske and H. Walliser [Phys. Rev. Lett. 61, 1930 (1988)]. Moreover, we investigate 28 different versions of the proximity potential formalisms, which are the most complete known proximity potential formalisms proposed to describe proton radioactivity, two-proton radioactivity, α decay, heavy-ion radioactivity, quasi-elastic scattering, fusion reactions, and other applications. The calculated results show that the modified forms of proximity potential 1977, denoted as Prox.77-12, and proximity potential 1981, denoted as Prox.81, are the most appropriate proximity potential formalisms for the study of cluster radioactivity, as the root-mean-square deviation between experimental data and relevant theoretical results obtained is the least; both values are 0.681. For comparison, the universal decay law (UDL) proposed by Qi et al. [Phys. Rev. C 80, 044326 (2009)], unified formula of half-lives for α decay and cluster radioactivity proposed by Ni et al. [Phys. Rev. C 78, 044310 (2008)], and scaling law (SL) in cluster radioactivity proposed by Horoi et al. [J. Phys. G 30, 945 (2004)] are also used. In addition, utilizing CPPM with Prox.77-12, Prox.77-1, Prox.77-2, and Prox.81, we predict the half-lives of 51 potential cluster radioactive candidates whose cluster radioactivity is energetically allowed or observed but not yet quantified in NUBASE2020. The predicted results are in the same order of magnitude as those obtained using the compared semi-empirical and/or empirical formulae. At the same time, the competition between α decay and cluster radioactivity of these predicted nuclei is discussed. By comparing the half-lives, this study reveals that α decay predominates.
  • Strong decays of the Pc(4312) and its isospin cousin via the QCD sum rules
    In this study, considering the conservation of isospin in the strong decays, we investigate the strong decays of the pentaquark molecule candidate $ P_c(4312) $ and its possible higher isospin cousin $ P_c(4330) $ in the framework of the QCD sum rules. Further, the pole residue of the Δ baryon with isospin eigenstate $ |II_3\rangle=|\frac{3}{2}\frac{1}{2}\rangle $ is obtained. If the possible pentaquark molecule candidate $ P_c(4330) $ could be determined, it would shed light on the interpretations of the $ P_c $ states in future experiments.
  • B meson rare decays in the TNMSSM
    We investigate the two loop electroweak corrections to B meson rare decays $ \bar B\rightarrow X_s\gamma $ and $ B_s^0\rightarrow \mu^+\mu^- $ in the minimal supersymmetry standard model (MSSM) extension with two triplets and one singlet (TNMSSM). The new particle contents and interactions in the TNMSSM can affect the theoretical predictions of the branching ratios $ {\rm{Br}}(\bar B\rightarrow X_s\gamma) $ and $ {\rm{Br}}(B_s^0\rightarrow \mu^+\mu^-) $, and the corrections from two loop diagrams to the process $ \bar B\rightarrow X_s\gamma $ can reach around $ 4\% $. Considering the latest experimental measurements, the numerical results of $ {\rm{Br}}(\bar B\rightarrow X_s\gamma) $ and $ {\rm{Br}}(B_s^0\rightarrow \mu^+\mu^-) $ in the TNMSSM are presented and analyzed. The findings indicate that the results in the TNMSSM can fit the updated experimental data well, and the new parameters $ T_{\lambda},\;\kappa,\;\lambda $, clearly affect the theoretical predictions of $ {\rm{Br}}(\bar B\rightarrow X_s\gamma) $ and $ {\rm{Br}}(B_s^0\rightarrow \mu^+\mu^-) $.
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  • Critical behavior and Joule-Thomson expansion of charged AdS black holes surrounded by exotic fluid with modified Chaplygin equation of state
    2024, 48(6): 065101-065101-12. doi: 10.1088/1674-1137/ad32c0
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    By considering the concept of a unified single fluid model, referred to as modified Chaplygin gas (MCG), which amalgamates dark energy and dark matter, we explore the thermodynamic characteristics of charged anti-de Sitter (AdS) black holes existing in an unconventional fluid accompanied by MCG. To accomplish this objective, we derive the equations of state by regarding the charge $ Q^{2} $ as a thermodynamic variable. The effects of MCG parameters on the critical thermodynamic quantities ($ \psi_{c} $, $ T_{c} $, $ Q_{c}^{2} $) are examined, followed by a detailed analysis of the $ Q^{2}-\psi $ diagram. To provide a clearer explanation of the phase transition, we present an analysis of the Gibbs free energy. It is important to note that if the Hawking temperature exceeds the critical temperature, a distinct pattern is observed known as swallowtail behavior. This indicates that the system undergoes a first-order phase transition from a smaller black hole to a larger one. The critical exponent of the system is found to be in complete agreement with that of the van der Waals fluid system. Furthermore, we investigate the impact of MCG parameters and black hole charge on Joule-Thomson (J-T) expansion in the extended phase space. The J-T coefficient is examined to pinpoint the exact region experiencing cooling or heating, and the observation reveals that the presence of negative heat capacity results in the occurrence of a cooling process. The impact of MCG on the inversion curve of charged black holes exhibits a striking resemblance to that observed in most multi-dimensional black hole systems. In addition, it is worth noting that certain parameters exert a significant influence on the ratio $\dfrac{T_{\min}}{T_{c}}$. For specific values of the MCG parameters, the ratio is consistent with the charged AdS black hole. The parameters γ and β have a non-negligible effect on the isenthalpic curve.
  • Constraints on real scalar inflation from preheating using LATTICEEASY
    2024, 48(6): 065108-065108-7. doi: 10.1088/1674-1137/ad34bd
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    In this paper, we undertake a detailed study of real scalar inflation using LATTICEEASY simulations to investigate preheating phenomena. Generally, the scalar inflation potential with non-minimal coupling can be approximated using a quartic potential. We observe that the evolutionary behavior of this potential remains unaffected by the coupling coefficient. Furthermore, the theoretical predictions for the scalar spectral index ($n_s$) and tensor-to-scalar power ratio (r) are independent of this coefficient. Consequently, the coefficients of this model are not constrained by Planck observations. Fortunately, the properties of preheating after inflation provide a viable approach to examining these coefficients. Through LATTICEEASY simulations, we trace the evolution of particle number density, scale factor, and energy density during the preheating process. Subsequently, we derive the parameters, such as the energy ratio (γ) and the e-folding number of preheating ($N_{\rm pre}$), which facilitate further predictions of $n_s$ and r. We successfully validate real scalar inflation model using preheating in LATTICEEASY simulations based on the analytical relationship between preheating and inflation models.
  • Isoscaling properties for neutron-rich fragments in highly asymmetric heavy ion collision systems
    2024, 48(6): 064103-064103-9. doi: 10.1088/1674-1137/ad33bd
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    Traditionally, isoscaling has been interpreted and applied within the framework of the grand canonical ensemble, based on the assumption that fragment production occurs following the attainment of a statistical equilibrium state. However, the influence of the symmetry energy can lead to differences in the neutron and density distribution in neutron-rich nuclei. This in turn may impact the isoscaling parameters (usually denoted by α and β). We examine the isoscaling properties for neutron-rich fragments produced in highly asymmetric systems on inverse kinematics, namely $ ^{40,48} $Ca and $ ^{58,64} $Ni + $ ^{9} $Be at 140 MeV per nucleon. We evaluate α and β values and sort them as a function of the neutron excess $ I \equiv N-Z $. The significant differences in α extracted from fragments within different ranges of I emphasize the importance of understanding the dependence of isoscaling parameters on fragments generated in various collision regions. Furthermore, the $ |\beta(N)| / \alpha(Z) $ value for a specific fragment in small size and highly isospin asymmetry systems can serve as a probe to detect the variations in neutron density and proton density in different regions of the nucleus and indicate the limitations of theoretical models in investigating these issues.
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