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

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Using optimized iso-scalar and iso-vector tensor coupling constants in Skyrme Hartree–Fock calculation which reproduces the splitting of spin–orbit partners 1f7/2–1f5/2 in 40,48Ca and 56Ni, 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.