LXXIX. Pairing energy in the j-j coupling model

Abstract

The pairing energy of two nucleons of the same kind in a shell has been calculated. Harmonic oscillator wave-functions and very short-range nuclear forces were assumed. It is found that the empirical predictions of Mayer (1950) are verified in all cases but one and that the exception accounts for the anomalous spin of ¹³⁷Ba. Certain new peculiarities are predicted (e.g. in quadrupole moments and the spin of ¹⁹F) which are found to be in satisfactory agreement with experiment. The averaged variation of pairing energy with A is found not to agree with Bohr and Wheeler's semi-empirical formula.