Abstract

Various aspects of restoration of Wigner’s supersymmetry [SU(4) symmetry] in heavy and superheavy nuclei are analyzed by comparing the results of calculations with experimental data. The energy differences between the giant Gamow–Teller and analog resonances (\(E_{\mathrm{G}}\) and \(E_{\mathrm{A}}\)) are given according to calculations within the theory of finite Fermi systems for 34 nuclei for which experimental data are known. The calculated energy differences \(\Delta E_{\mathrm{G{-}A}}\) of \(E_{\mathrm{G}}\) and \(E_{\mathrm{A}}\) tend to zero in heavier nuclei, demonstrating the restoration of Wigner’s SU(4) symmetry. Also, the isotopic dependence of the Coulomb energy difference between neighboring nuclear isobars is analyzed within the SU(4) approach for more than 400 nuclei in the mass-number range of \(A=5{-}244\). The restoration of Wigner’s SU(4) symmetry in heavy nuclei is confirmed. It is shown that the restoration of Wigner’s SU(4) symmetry is compatible with the possible existence of an island of stability in the region of superheavy nuclei.

中文翻译：

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重和超重核维格纳对称性的恢复

摘要

通过将计算结果与实验数据进行比较，分析了重核和超重核中Wigner超对称[ SU（4）对称]恢复的各个方面。巨伽莫夫-泰勒和模拟谐振之间的能量差（\（E _ {\ mathrm {G}} \）和\（E _ {\ mathrm {A}} \） ）根据有限费米理论内计算给定用于34个核的系统，已知实验数据。所计算的能量差\（\的ΔE_ {\ mathrm {绿{ - } A}} \）的\（E _ {\ mathrm {G}} \）和\（E _ {\ mathrm {A}} \）趋向于零较重的原子核，表明维格纳的恢复SU（4）对称。同样，在SU（4）方法中，针对质量数范围为（A = 5 {-} 244 \）的400多个核，分析了相邻核等压线之间库仑能差的同位素依赖性。证实了重核中维格纳SU（4）对称性的恢复。结果表明，维格纳SU（4）对称性的恢复与在超重核区域中可能存在的稳定岛兼容。