Abstract
A simplified method of obtaining the direct interaction between two identical nucleons in the nuclear shell model is given for the special case of singlet forces. Configuration interaction is included in the method. A semi-empirical analysis of simple two and three particle nuclear spectra is outlined which enables one to determine properties of the two-body perturbing interaction provided many body forces are negligible and coupling to the nuclear surface is weak. Corrections to the singlet force formalism due to triplet central and tensor forces are discussed. Formulas are given for magnetic dipole and quadrupole moments and magnetic dipole transition rates for mixed three-particle configurations. The effect of weak surface coupling on multi-particle configuration is given in paper II of this series. A detailed discussion of the spectra of two isotopes of calcium is given in paper III.
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