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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  • Preliminary analyses of the dynamics and thermodynamics of rotating regular black holes
    2024, 48(7): 075101-075101-20. doi: 10.1088/1674-1137/ad34c1
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    We investigate the dynamic and thermodynamic laws governing rotating regular black holes. By analyzing dynamic properties, i.e., the interaction between scalar particles and rotating regular black holes, we establish the criteria that determine whether such black holes satisfy the laws of thermodynamics. In addition, we provide the general form of conserved quantities related to rotating regular black holes, including the relevant flows associated with neutral scalar particles. Meanwhile, we reexamine the relationship between the third law of thermodynamics and weak cosmic censorship conjecture for rotating regular black holes. Based on the abovementioned criteria, we discuss the laws of thermodynamics for three models of rotating regular black holes: Rotating Hayward black holes, Kerr black-bounce solutions, and loop quantum gravity black holes. Our findings indicate that none of the three models satisfies the first law of thermodynamics. In particular, the first and third models fail to comply with the three laws of thermodynamics, whereas the second model satisfies only the second and third laws of thermodynamics. Finally, we attempt to rescue the laws of thermodynamics by modifying entropy or extending the phase space. However, the two scenarios cannot ensure the three laws of thermodynamics in the three models, which reveals an unusual property of rotating regular black holes.
  • Possible bias of the constraints on the Hubble constant owing to the quasi-Gaussian distribution of DMIGM in fast radio bursts
    2024, 48(7): 075102-075102-10. doi: 10.1088/1674-1137/ad3942
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    Fast radio bursts (FRBs) are useful cosmological probes with numerous applications in cosmology. The distribution of the dispersion measurement contribution from the intergalactic medium is a key issue. A quasi-Gaussian distribution has been used to replace the traditional Gaussian distribution, yielding promising results. However, this study suggests that there may be additional challenges in its application. We used 35 well-localized FRBs to constrain the Hubble constant $ H_0 $ along with two FRB-related parameters, yielding $H_0=60.99^{+4.57}_{-4.90}\ {\rm{km\; s^{-1}}\; Mpc^{-1}}$. The best-fitting Hubble constant $ H_0 $ is smaller than the value obtained from the Cosmic Microwave Background (CMB), which may be caused by the small sample size of current FRB data. Monte Carlo simulations indicate that a set of 100 simulated FRBs provides a more precise fitting result for the Hubble constant. However, the precision of the Hubble constant does not improve when further enlarging the FRB sample. Additional simulations reveal a systematic deviation in the fitting results of $ H_0 $, attributed to the quasi-Gaussian distribution of the dispersion measure in the intergalactic medium. Despite this, the results remain reliable within 1σ uncertainty, assuming that a sufficient number of FRB data points are available.
  • Photon orbits and phase transition for Letelier AdS black holes immersed in perfect fluid dark matter
    2024, 48(6): 065109-065109-13. doi: 10.1088/1674-1137/ad361f
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    We obtain an exact solution for spherically symmetric Letelier AdS black holes immersed in perfect fluid dark matter (PFDM). Considering the cosmological constant as the positive pressure of the system and volume as its conjugate variable, we analyze the thermodynamics of our black holes in the extended phase space. Owing to the background clouds of strings parameter (a) and the parameter endowed with PFDM (β), we analyze the Hawking temperature, entropy, and specific heat. Furthermore, we investigate the relationship between the photon sphere radius and phase transition for the Letelier AdS black holes immersed in PFDM. Through the analysis, with a particular condition, non-monotonic behaviors are found between the photon sphere radius, impact parameter, PFDM parameter, temperature, and pressure. We can regard the changes in both the photon sphere radius and impact parameter before and after phase transition as the order parameter; their critical exponents near the critical point are equal to the same value, 1/2, similar to that in ordinary thermal systems. This indicates that a universal relation of gravity may exist near the critical point for a black hole thermodynamic system.
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