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Three-Body-Cluster Effects on Lambda Single-Particle Energies in Lambda17O andLambda41Ca

S. Fujii, R. Okamoto, K. Suzuki

nucl-tharXiv:nucl-th/0003001

Abstract

A method for a microscopic description of Lambda hypernuclei is formulated in the framework of the unitary-model-operator approach. A unitarily transformed hamiltonian is introduced and given in a cluster expansion form. The structure of three-body-cluster terms are discussed especially on the Lambda single-particle energy. The Lambda single-particle energies including the three-body-cluster contributions are calculated for the 0s1/2, 0p3/2 and 0p1/2 states inLambda17O, and for the 0s1/2, 0p3/2, 0p1/2, 0d5/2, 0d3/2 and 1s1/2 states inLambda41Ca, using the Nijmegen soft-core (NSC), NSC97a-f, the Juelich A (J A) and J B hyperon-nucleon interactions. It is indicated that the three-body-cluster terms bring about sizable effects in the magnitudes of the Lambda single-particle energies, but hardly affect the Lambda spin-orbit splittings.

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