Uses of tensor-induced spin-orbit splitting to locate spherical doubly-magic SHE

摘要

Using optimized iso-scalar and iso-vector tensor coupling constants in Skyrme Hartree-Fock calculation which reproduces the splitting of spin-orbit partners 1f(7/2)-1f(5/2) in Ca-40,Ca-48 and Ni-56, the evolution of shells in the nuclear chart have been studied through developments in spin-orbit splitting. Signatures for all the magic numbers have been generated without any exception. The procedure when extended to superheavy region indicates the element with Z = 114 and N = 184 to be a doubly-magic spherical nucleus.