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The pion exchange between nucleons generates a strong tensor interaction,which provides a large attractive contribution for the binding energy ofnucleus. This non central tensor interaction is difficult to handle in theshell model framework, which hinders full understanding of nuclear structure.We develop the tensor-optimized shell model (TOSM) for the strong tensorinteraction and now we are able to use bare nucleon-nucleon interaction withthe help of the unitary correlation operator method (UCOM) for the short-rangehard core. We adopt the nucleon-nucleon interaction, AV8', and calculateexplicitly the ground state of $^4$He and make a detailed comparison withrigorous few-body model calculations. We show a large amount of success of thetensor-optimized shell model with bare nucleon-nucleon interaction for 4He.

Tensor-optimized shell model with bare nucleon-nucleon interaction for 4He