Abstract

Coupling schemes are explained for a system of nucleons interacting with each other through a singlet-paring force in addition to a strong spin-orbit force. Results are applied in particular to ground states of nuclei with n = 4 j + + 1, that is, B 11 and Al 27. Assuming a strong spin-orbit force, it is found that the effect of the pairing force in mixing the spin-orbit partners in a j-j coupling scheme is comparatively large near closure of the j-j subshells. The ratio V σ l / V 0 of the depths of the pairing force and spin-orbit force is chosen for each nucleus so that the deviation of the nuclear magnetic moment from the j-j limit would be explained by the competition of the two forces. It is found that such a ratio becomes relatively larger as the nucleus becomes heavier irrespective of the parity of the orbital state of the individual nucleon.

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