Precise Mass Calculations for Atomic Nuclei of Isospin Tz = 51/2, 26, 53/2, 55/2, 28, and 57/2 with Restored Spin-Isospin SU(4) Symmetry

Abstract

Via simulating the contribution of spin-orbit interaction to nuclear masses by orthogonal Chebyshev polynomials, the mass excesses are calculated for a group of atomic nuclei characterized by the isospins of T_z = 51/2, 26, 53/2, 55/2, 28, and 57/2 and by the presence of restored Wigner’s spin-isospin SU(4) symmetry. The root-mean-square deviation of the results of these calculations from their experimental counterparts is σ = 140 keV. The potential of the proposed method is discussed.