Abstract
An effective residual interaction of the shell model is investigated by maing use of the experimental values of the pairing energies P(j) = B E.(Z, N) + B E.(Z, N - 2) - 2B E.(Z, N - 1), and II(j) = 2B E.(Z, N) - B E.(N, N + 1) - B E.(Z, N - 1). It is assumed that the effective interactions between paired like nucleons (n-n, p-p) in the same orbit are central forces and have the form Vij = [V0 + V1i · σj)]f(rij), and the Gaussian and Yukawa types are used for f(rij). The strength parameters V0 and V1 are determined from P(j)exp and Π(j)exp in the pure configurations. The results are V1/V0 ∼ 2, then the effective residual interactions are near upon the Rosenfeld force. The effects of tensor force and configuration mixing on V0 and V1 obtained in the case of central force and pure configurations are investigated. The parameters to give nuclear binding energies are evaluated and these values are compared with those given by several authors. A discussion for the effective residual interactions thus obtained are made in this paper.