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

National Research Centre “Kurchatov Institute”, 123182, Moscow, Russia

^a Lutostansky@yandex.ru

Published online: 19 January 2016

Abstract

Energies of the giant Gamow-Teller and analog resonances –E_G and E_A, respectively, – are calculated within the microscopic theory of finite Fermi system. The calculated energy difference ΔE_G–A = E_G–E_A tends to zero with A in heavy nuclei indicating the restoration of Wigner SU(4)-symmetry. The calculated ΔE_G–A values are in good agreement with the experimental data. The average deviation is 0.30MeV for the 33 considered nuclei where experimental data are available. The ΔE_G–A values are investigated for very heavy and superheavy nuclei up to the mass number A = 290. Using the experimental data for the analog resonance energies, the isotopic dependence of the Coulomb energy differences for neighboring isobars are 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.