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The shell structure of even-even isotopes in Si, S, Ar and Ca has beenanalysed. The theoretical calculations of shell closure parameter $D_{n} (N)$and the differential variation of the two-neutron separation energy $dS_{2n}(Z, N )$ are carried out within the framework of Hartree-Fock-Bogoliubovtheory. Calculations are carried out for different skyrme forces and theirsensitivity has been tested. Same nuclides are studied by employing therelativistic mean field aproach based on meson exchange and point couplingmodels. Theoretically calculated estimates are in good agreement with therecently available experimental data which fortifies signature of shell closureat N = 14 and 20 in case of Si, N = 14, 20 and 28 in S and N=20 and 28 in Arand Ca isotopes.

Microscopic study of the Shell Structure evolution in isotopes of light to middle mass range Nuclides