A two-body cluster model of the nucleus

Abstract

Calculations are presented for coupled Schrödinger equations which develop the detailed behavior predicted by the two-body cluster model described in a preceding paper. The results show that: 1) narrow resonances in the scattering cross section may be quantitatively described by this model, 2) the cross section in the neighborhood of the threshold of another channel shows the Wigner cusp, and 3) the configuration mixing of bound states is a necessary consequence of the model. As an example, the model is used as a means of parameterizing the lowest states in C^(13). This method allows a fit to the scattering phase shift and the level structure, at the same time making a definite prediction of the fractional parentage of the bound state.

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