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FIELDS, PARTICLES, AND NUCLEI
Restoration of Wigner supersymmetry in heavy and superheavy nuclei
Yu. S. Lutostansky,
V. N. Tikhonov National Research Centre Kurchatov Institute, pl. Akademika Kurchatova 1, Moscow, 123182, Russia
Abstract:
The possibility of the restoration of Wigner supersymmetry (
$\mathrm{SU(4)}$ symmetry) in heavy and superheavy nuclei has been analyzed by comparing the calculations with experimental data. The differences between the energies of the giant Gamow–Teller resonance (
$E_G$) and analog resonance (
$E_A$) calculated within the finite Fermi system theory for
$33$ nuclei for which experimental data exist are presented. The energy differences
$\Delta E_{G-A}$ between
$E_G$ and
$E_A$ tend to zero in heavier nuclei, demonstrating the restoration of Wigner
$\mathrm{SU(4)}$ symmetry. The energy differences
$\Delta E_{G-A}$ have also been calculated for heavy and superheavy nuclei located on the betastability line in the mass number range of
$A=140$–
$290$. In the
$\mathrm{SU(4)}$ approach, the isotopic dependence of the difference between the Coulomb energies of neighboring isobar nuclei has been analyzed for more than
$400$ nuclei in the mass number range of
$A=3$–
$244$. The restoration of Wigner
$\mathrm{SU(4)}$ symmetry in heavy and superheavy nuclei has been confirmed. It has been shown that the restoration of
$\mathrm{SU(4)}$ symmetry does not contradict the possibility of the existence of the “island of stability” in the region of superheavy nuclei.
Received: 15.05.2015
Revised: 01.06.2015
DOI:
10.7868/S0370274X15130020
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