Charge-exchange resonances and restoration of the Wigner SU(4)-symmetry in heavy and superheavy nuclei

TL;DR

This paper investigates the energies of giant Gamow-Teller and analog resonances in heavy nuclei, demonstrating the restoration of Wigner SU(4)-symmetry in heavy and superheavy nuclei through microscopic calculations and experimental data comparison.

Contribution

It provides a microscopic theory-based analysis of SU(4)-symmetry restoration in heavy nuclei, extending to superheavy elements and analyzing Coulomb energy differences across many isotopes.

Findings

$ riangle E_{G-A}$ approaches zero in heavier nuclei

Calculated $ riangle E_{G-A}$ agrees with experimental data within 0.30 MeV

Restoration of SU(4)-symmetry does not exclude the superheavy island of stability

Abstract

Energies of the giant Gamow-Teller and analog resonances - $E_{\rm G}$ and $E_{\rm A}$, are presented, calculated using the microscopic theory of finite Fermi system. The calculated differences $\Delta E_{\rm G-A}=E_{\rm G}-E_{\rm A}$ go to zero in heavier nuclei indicating the restoration of Wigner SU(4)-symmetry. The calculated $\Delta E_{\rm G-A}$ values are in good agreement with the experimental data. The average deviation is 0.30 MeV for the 33 considered nuclei for which experimental data is available. The $\Delta E_{\rm G-A}$ values were calculated for heavy and superheavy nuclei up to the mass number $A $= 290. Using the experimental data for the analog resonances energies, the isotopic dependence of the difference of the Coulomb energies of neighboring nuclei isobars analyzed within the SU(4)-approach for more than 400 nuclei in the mass number range of $A$ = 3 - 244. The Wigner SU(4)-symmetry restoration for heavy and superheavy nuclei is confirmed. It is shown that the restoration of SU(4)-symmetry does not contradict the possibility of the existence of the "island of stability" in the region of superheavy nuclei.