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 –EG and EA, respectively, – are calculated within the microscopic theory of finite Fermi system. The calculated energy difference ΔEG–A = EG–EA tends to zero with A in heavy nuclei indicating the restoration of Wigner SU(4)-symmetry. The calculated ΔEG–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 ΔEG–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.