Role of the tensor interaction in He isotopes with a tensor-optimized shell model
We studied the role of the tensor interaction in He isotopes systematically on the basis of the tensor-optimized shell model (TOSM). We use a bare nucleon-nucleon interaction AV8{sup '} obtained from nucleon-nucleon scattering data. The short-range correlation is treated in the unitary correlation operator method (UCOM). Using the TOSM + UCOM approach, we investigate the role of tensor interaction on each spectrum in He isotopes. It is found that the tensor interaction enhances the LS splitting energy observed in {sup 5}He, in which the p{sub 1/2} and p{sub 3/2} orbits play different roles on the tensor correlation. In {sup 6,7,8}He, the low-lying states containing extra neutrons in the p{sub 3/2} orbit gain the tensor contribution. On the other hand, the excited states containing extra neutrons in the p{sub 1/2} orbit lose the tensor contribution due to the Pauli-blocking effect with the 2p2h states in the {sup 4}He core configuration.