Abstract
Employing the modified Yale and supersoft core potentials, BCS calculations are carried out for the ground-state properties of $^{24}\mathrm{Mg}$ and $^{32}\mathrm{S}$. It is found that the $T=0$ neutron-proton pairing correlations under the axially symmetric shape are more energetically favorable for $^{32}\mathrm{S}$, and equally favorable for $^{24}\mathrm{Mg}$, than the asymmetric shape obtained through the Hartree-Fock procedure. Comparisons are made with BCS results obtained via the Yale potential using the same shell-model expansion basis.
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