Translationally invariant treatment of pair correlations in nuclei: I. Spin and isospin dependent correlations

Details Translationally invariant treatment of pair correlations in nuclei: I. Spin and isospin dependent correlations Translationally invariant treatment of pair correlations in nuclei: I. Spin and isospin dependent correlations

1996-07-15

arxiv.org/abs/nucl-th/9607024v1

Nucl.Phys. A609 (1996) 218-236

Physics

Nuclear Physics

Nuclear Theory

23 pages, 1 postscript figure. Uses elsart.cls and epsfig.sty

Scientific paper

10.1016/0375-9474(96)00315-6

We study the extension of our translationally invariant treatment of few-body nuclear systems to heavier nuclei. At the same time we also introduce state-dependent correlation operators. Our techniques are tailored to those nuclei that can be dealt with in $LS$ coupling, which includes all nuclei up to the shell closure at $A=40$. We study mainly $p$-shell nuclei in this paper. A detailed comparison with other microscopic many-body approaches is made, using a variety of schematic nuclear interactions. It is shown that our methodology produces very good energies, and presumably also wave functions, for medium mass nuclei.

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