Highlights
  • Lepton-number-violating pion decay and type-I seesaw mechanism in chiral perturbation theory
    We investigate the process of lepton-number-violating pion decay, which dominates the nuclear neutrinoless double beta decay induced by the short-range operator within the type-I seesaw mechanism. The type-I seesaw mechanism leads to the Dirac and Majorana mass terms of neutrinos by introducing the gauge-singlet right-handed neutrinos, which are often called sterile neutrinos. Applying the chiral perturbation theory, we calculate the transition amplitudes for light and heavy sterile neutrinos up to $ \mathcal{O}(Q^2/\Lambda^2_\chi) $, where Q is the typical low-energy scale in this process and $ \Lambda_\chi $ the chiral symmetry breaking scale. We then adopt a naive interpolation formula of mass dependence to obtain the amplitude in the full mass range and briefly discuss its validity.
  • Pear shape and tetrahedral shape competition in actinide nuclei
    Shape competition and coexistence between the pear- and the tetrahedral-shape octupole deformations in actinide nuclei is investigated by employing the realistic nuclear mean-field theory with the phenomenological, so-called 'universal' Woods-Saxon Hamiltonian with newly adjusted parameters containing no parametric correlations. Both types of octupole deformations exhibit significant effects in $ N=132 $, $ N=134 $, and $ N=136 $ isotones. Nuclear potential energy calculations within the multi-dimensional deformation spaces reveal that the tetrahedral deformation effects generally lead to deeper energy minima in most nuclei with $ N=134 $ and $ N=136 $. Interestingly, in the nuclei $^{218}_{\;\;86}{\rm{Rn}}_{132} $, $^{222}_{\;\;88}{\rm{Ra}}_{134} $, and $^{222}_{\;\;86}{\rm{Rn}}_{136} $, selected for the illustration of the studied effects, the influence of pear-shape octupole deformation is comparable to that of tetrahedral octupole deformation. Consequently, the coexistence of both kinds of octupole shapes is predicted by the potential energy calculations. In particular, we have reproduced the experimental results known for pear-shape rotational bands obtaining in this way an estimate of the quality of the modelling parametrisation. With the same Hamiltonian, we have predicted the properties of the tetrahedral symmetry rotational bands. To facilitate the possible experiment-theory cooperation we have derived the exact spin-parity tetrahedral-band structures by applying the standard methods of the group representation theory for the Td point-group.
  • Cluster radioactivity half-lives within deformed Gamow-like model
    In the present work, based on a Gamow-like model, considering the deformation effect of Coulomb potential, where the effective nuclear radius constant is parameterized, we systematically investigate the cluster radioactivity half-lives of 25 trans-lead nuclei. For comparison, a universal decay law (UDL) proposed by Qi et al. [Phys. Rev. C 80, 044326 (2009)], a new semi-empirical formula for exotic cluster decay proposed by Balasubramaniam et al. [Phys. Rev. C 70, 017301 (2004)], and a scaling law proposed by Horoi [J. Phys. G: Nucl. Part. Phys. 30, 945 (2004)] are also used. The calculated results within the deformed Gamow-like model are in better agreement with the experimental half-lives. The deformation effect is also discussed within both the Gamow-like and deforemed Gamow-like models. Moreover, we extend this model to predict the cluster radioactivity half-lives of 49 nuclei whose decay energies are energetically allowed or observed but not yet quantified in NUBASE2020.
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  • A three-body form factor at sub-leading power in the high-energy limit: planar contributions
    2025, 49(9): 093102-093102-14. doi: 10.1088/1674-1137/addcc7
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    We analyzed two-loop planar contributions to a three-body form factor at next-to-leading power in the high-energy limit, where the masses of the external particles are much smaller than their energies. Calculations were performed by exploiting differential equations for the expansion coefficients, both to facilitate linear relations among them and to derive their analytic expressions. The results are expressed in terms of generalized polylogarithms involving a few simple symbol letters. Our method can readily be applied to calculations of non-planar contributions as well. Our results provide crucial information for establishing sub-leading factorization theorems for massive scattering amplitudes in the high-energy limit.
  • α-decay half-lives of superheavy nuclei within a one-parameter model
    2025, 49(9): 094102-094102-11. doi: 10.1088/1674-1137/addcc8
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    The α-decay half-lives of superheavy nuclei (SHN) with charge numbers $ Z \geq 104 $ are investigated by employing a phenomenological one-parameter model based on quantum-mechanical tunneling through a potential barrier, where both the centrifugal and overlapping effects have been considered. It is shown that the experimental α-decay half-lives of the 81 SHN are reproduced well. Moreover, the order of magnitude for the α-particle preformation probability inside a parent nucleus ($S_{ {\alpha }} $) is found to be $ 10^{-2} $. Then, within this model, the $S_{ {\alpha }} $ values and α-decay half-lives of Z = 118−120 isotopes are predicted by inputting the α-decay energies ($ Q_{\alpha } $) extracted from the relativistic continuum Hartree-Bogoliubov (RCHB) theory, Duflo-Zuker 19 (DZ19, where 19 denotes the number of fitting parameters) model, improved Weizsacker-Skyrme (lMWS) model, and machine learning (ML) approach. By analyzing the evolutions of $ Q_{\alpha } $, $S_{ {\alpha} }$ and α-decay half-lives of Z = 118−120 isotopes with the neutron number N of the parent nucleus, it is found that the shell effect at N = 184 is evident for all nuclear mass models. Meanwhile, for the case of the RCHB, N = 172 is determined as a submagic number. However, the submagic number at N = 172 is replaced by N = 178 for the ML approach.
  • Investigating the shadows of new regular black holes with a Minkowski core: effects of spherical accretion and core type differences
    2025, 49(9): 095101-095101-13. doi: 10.1088/1674-1137/addfce
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    We investigated the shadows and optical appearances of a new type of regular black holes (BHs) with a Minkowski core under various spherical accretion scenarios. These BHs are constructed by modifying the Newtonian potential based on the minimum observable length in the Generalized Uncertainty Principle (GUP). They correspond one-to-one with traditional regular BHs featuring a de-Sitter (dS) core (such as Bardeen/Hayward BHs), characterized by a quantum gravity effect parameter ($ \alpha_0 $) and spacetime deformation factor (n). We found that the characteristic parameters give rise to some novel observable features. For these new BHs, both the shadow and photon sphere radii decrease with the increase in $ \alpha_0 $, while the observed specific intensity increases. Conversely, as n increases, the shadow and photon sphere radii increase, while the observed specific intensity decreases. Under different spherical accretion scenarios, the shadows and photon sphere radii remain identical; however, the observed specific intensity is greater under static spherical accretion than under infalling spherical accretion. Additionally, we found that these regular BHs with different cores exhibit variations in shadows and optical appearances, particularly under static spherical accretion. Compared with Bardeen BH, the new BHs exhibit a lower observed specific intensity, a dimmer photon ring, and smaller shadow and photon sphere radii. Larger values of $ \alpha_0 $ lead to more significant differences, and a similar trend was also observed when comparing with Hayward BH. Under infalling spherical accretion, the regular BHs with different cores exhibit only slight differences in observed specific intensity, which become more evident when $ \alpha_0 $ is relatively large. This suggests that the unique spacetime features of these regular BHs with different cores can be distinguished through astronomical observation.
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ISSN 1674-1137 CN 11-5641/O4

Original research articles, Ietters and reviews Covering theory and experiments in the fieids of

  • Particle physics
  • Nuclear physics
  • Particle and nuclear astrophysics
  • Cosmology
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