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We investigate neutron-proton (np) pairing correlation effect on the shell evolution of ground-state energies along with the deformation for N = Z nuclei in sd- and pf-shell, such as Mg-24 and Kr-72. We start from a simple shell-filling model constructed by a deformed Woods-Saxon potential characterized as beta(2) deformation, and then we include all kinds of pairing correlations in the residual interaction. In this work, like- and unlike-pairing correlation decomposed as isoscalar (IS) T = 0 and isovector (IV) T = 1 component are explicitly taken into account to estimate the ground-state energies. It turns out that the IS condensation can explain the oblate deformation for Kr-72. We also test those effects on the Gamow-Teller (GT) transition for another N = Z nucleus, Ni-56, which explicitly exhibits the effects by the IS condensation and the deformation.

Neutron--Proton Pairing Correlations and Deformation for $N = Z$ Nuclei in $sd$- and $pf$-shell by Deformed BCS and Deformed QRPA