Three-body forces in nuclei and the σ-model

Details Three-body forces in nuclei and the σ-model Three-body forces in nuclei and the σ-model

Aug 1977

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1977nupha.285..368n&link_type=abstract

Nuclear Physics A, Volume 285, Issue 3, p. 368-378.

Physics

Nuclear Physics

Scientific paper

The expectation value of the three-σ-exchange three-body force is evaluated in nuclear matter and in the triton. Full correlations are included between all three particles, and exchange terms are evaluated. When the parameters of the σ-model are chosen to reproduce the medium-range attraction in the two-nucleon system, one obtains some -15 MeV per particle (attraction) in nuclear matter if the strength of the three-body force is evaluated in the tree approximation. The contribution to the ground-state energy of the triton is in his case about -1 MeV. A simple interpolation formula is given, which relates the expectation value of the three-body force to the matter density and number of nucleons in the nucleus. It is concluded that the net strength of the three-body force must be reduced by quantum (loop) corrections.
On leave of absence from Physis Department, Abo Akademi, Abo, Finland.

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