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Effect of a repulsive core in the theory of complex nuclei

1957; Royal Society; Volume: 238; Issue: 1215 Linguagem: Inglês

10.1098/rspa.1957.0017

2053-9169

Hans A. Bethe, Jeffrey Goldstone,

Cold Atom Physics and Bose-Einstein Condensates

Using Brueckner’s method for the treatment of complex nuclei, the effect of an infinite repulsive core in the interaction between nucleons is studied. The Pauli principle is taken into account from the beginning. A spatial wave function for two nucleons is defined, and an integro-differential equation for this function is derived. Owing to the Pauli principle, the wave function contains no outgoing spherical waves. A solution is given for the case when only a repulsive core potential acts. The effective-mass approximation is investigated for virtual states of very large momentum.