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

Abstract

Energies of the giant Gamow-Teller and analog resonances - $E_{\mathrm{G}}$ and $E_{\mathrm{A}}$, are presented, calculated using the microscopic theory of finite Fermi system. The calculated differences $\Delta E_{\mathrm{G}-\mathrm{A}}=E_{\mathrm{G}}-E_{\mathrm{A}}$ go to zero in heavier nuclei indicating the restoration of Wigner SU(4)-symmetry. The calculated $\Delta E_{\mathrm{G}-\mathrm{A}}$ 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 $\Delta E_{\mathrm{G}-\mathrm{A}}$ 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.

Comments: 5 pages, 2 figures