Abstract
An investigation is made to ascertain the relative importance of the two-body and three-body A-nucleon potentials which have the same order of coupling constant. The three-body potential, which is derived using perturbation theory from a pseudoscalar interaction, is found to be weakly singular and hence, much smaller than the two-body potential. In addition, the largest terms are non-central. In the hypertriton, where correlations are large, it is found that three-body forces are repulsive forS states and may amount to 4%. SuitableD state admixture could lead to a repulsive three-body force of nearly 6%. In heavy hypernuclei, the relative importance of three-body forces is about 1/2% if correlations are neglected, and may be as large as 71/2% il correlations are as strong as they are in the hypertriton. It is also found that by omitting the Feynman graphs with bare lines the three-body contributions are negligible.
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