Spin and Tensor Correlations in Model Nuclear Matter

Abstract

The consistent treatment of the full discrete state-dependence of the nuclear forces in a nonrelativistic, microscopic nuclear many-body theory is one of the major outstanding problems in the understanding of nuclear matter and finite nuclei on a first-principle basis. In fact, with the advent of techniques to apply variational methods to finite systems¹, the proper inclusion of the state-dependence is the only obstacle to performing a microscopic calculation of what one might call the “classical nucleus”. By this we mean a finite system of N particles interacting via a static Hamiltonian

$$ H = - \sum\limits_{{i = 1}}^{N} {\frac{{{{\hbar }^{2}}}}{{2m}}} \nabla _{i}^{2} + \sum\limits_{{1 \leqslant i < j \leqslant N}} {v(i,j).} $$

((1))

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