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  • Alpha-decay systematics and a new scaling law in heavy and superheavy nuclei
    2026, 50(1): 014111-014111-16. doi: 10.1088/1674-1137/ae0307
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    This paper presents a systematic investigation of α-decay properties in even-even isotopic chains of Po ($ Z=84 $), Cm ($ Z=96 $), Hs ($ Z=108 $), and Fl ($ Z=114 $) using a semi-classical approach. Ground-state properties, including binding energies and nucleon density distributions, are calculated by minimizing a Skyrme-based energy density functional augmented with microscopic corrections. The derived nuclear densities and $ Q_\alpha $-values are used to construct the α decay potential through the double-folding model (DFM). The α-decay dynamics are treated quantum mechanically based on the preformed cluster model (PCM) within the Wentzel-Kramers-Brillouin (WKB) approximation. The analysis reveals distinct signatures of spherical shell closures at $ N=126 $ and $ N=184 $, along with secondary anomalies near $ N = 148 $, $ 152 $, and $ 162 $, which are consistent with deformed sub-shell effects predicted by nuclear structure models. The signature of daughter nuclear stability is systematically observed through one or more of the following features: shortened α-decay half-lives, enhanced $ Q_\alpha $ values, increased penetrabilities, and/or reduced assault frequencies. A new universal scaling relation, relating the decay half-lives and a scaled combination of nuclear charge and decay energy, is established, showing strong correlation across a wide mass range. Systematic comparisons demonstrate particular predictive advantages for superheavy nuclei, with the proposed method accurately reproducing observed half-life variations across all isotopic chains. The results confirm the sensitivity of α-decay observables to both spherical and deformed shell effects and reinforce the role of α-decay systematics as powerful tools for probing nuclear structure and guiding predictions in unexplored regions of the nuclear chart.
  • 0νββ decay nuclear matrix elements under Left-Right symmetric model from the spherical quasi-particle random phase approximation method with realistic force
    2026, 50(1): 014113-014113-11. doi: 10.1088/1674-1137/ae1196
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    We perform the calculation of nuclear matrix elements for the neutrinoless double beta decays under a Left-Right symmetric model mediated by light neutrinos, and we adopt the spherical quasi-particle random-phase approximation (QRPA) approach with a realistic force. For eight nuclei: 76Ge, 82Se, 96Zr, 100Mo, 116Cd, 128Te, 130Te, and 136Xe, related nuclear matrix elements are given. We analyze each term, and the details of contributions from different parts are also provided. For the q term, we find that the weak-magnetism components of the nucleon current contribute equally to other components such as the axial-vector. We also discuss the influence of short-range correlations on these NMEs. It is found that the R term is more sensitive to short-range correlations than other terms due to the large portion of the contribution from high exchange momenta.
  • Dynamic shadow of a black hole with a self-interacting massive complex scalar hair
    2026, 50(2): 025102-025102-12. doi: 10.1088/1674-1137/ae1442
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    We investigate the dynamic shadows of a black hole with a self-interacting massive complex scalar hair. The complex scalar field $\psi$ evolves with time t, and its magnitude on the apparent horizon $|\psi_{\rm h}|$ starts from zero, undergoes a sharp rise followed by rapid oscillations, and eventually converges to a constant value. The variation in the photon sphere radius $r_{\rm ps}$ is similar to that of the magnitude $|\psi_{\rm h}|$. Owing to the emergence of the complex scalar hair $\psi$, the apparent horizon radius $r_{\rm h}$ starts increasing sharply and then smoothly approaches a stable value eventually. The shadow radius $R_{\rm sh}$ of the black hole with an accretion disk increases with time $t_{\rm o}$ at the observer's position. In the absence of an accretion disk, the shadow radius $R_{\rm sh}$ is larger and also increases as $t_{\rm o}$ increases. Furthermore, we slice the dynamical spacetime into spacelike hypersurfaces for all time points $t$. For the case with an accretion disk, the variation in $R_{\rm sh}$ is similar to that in the apparent horizon $r_{\rm h}$, because the inner edge of the accretion disk extends to the apparent horizon. In the absence of an accretion disk, the variation in $R_{\rm sh}$ is similar to that in the photon sphere radius $r_{\rm ps}$, because the black hole shadow boundary is determined by the photon sphere. As the variation in $r_{\rm ps}$ is induced by $\psi$, it can be stated that the variation in the size of the shadow is similarly caused by the change in $\psi$. Regardless of the presence or absence of the accretion disk, the emergence of the complex scalar hair $\psi$ causes the radius $R_{\rm sh}$ of the shadow to start changing. Moreover, we investigate the time delay $\Delta t$ of light propagating from light sources to the observer. These findings not only enrich the theoretical models of dynamic black hole shadows but also provide a foundation for testing black hole spacetime dynamics.
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