Abstract
A systematic study of the pairing correlations as a function of temperature and angular momentum was performed in the sd-shell region using the spherical shell model approach. Pairing correlations were derived for even-even, even-odd, and odd-odd systems near $N=Z$ and also for the asymmetric case of $N=Z+4$. The results indicate that the pairing content and the behavior of pair correlations is similar in even-even and odd-mass nuclei. For the odd-odd $N=Z$ system, angular momentum $I=0$ state is an isospin, $t=1$ neutron-proton paired configuration. Further, these $t=1$ correlations are shown to be dramatically reduced for the asymmetric case of $N=Z+4$. The shell model results obtained are qualitatively explained within a simplified degenerate model.
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