Effective Interaction with Three-Body Effects

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Abstract
Three-body effects, which are effects of three-body force and three-body correlation, are introduced into the two-body nuclear force in a semi-phenomenological way to reproduce the nuclear saturation over all nuclei by the lowest order Brueckner theory. On the basis of the reaction matrix calculation of nuclear matter with this two-body force including the three-body effects, a new effective potential is proposed which includes two independent parameters, namely, nuclear density and starting-energy. Because of the effect of three-body force, this effective potential is more attractive in the 3E state, compared with the usual one, and assures overall saturation without any artificial modification. The starting-energy dependence of the effective potential is also strengthened by the three-body force. The starting-energy dependence is found to work well for nuclear saturation together with the density dependence. Present density dependence is weaker than that of the usual density dependent effective potentials. The effective potentials is decomposed into central, spin-orbit and tensor components.

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