Three-nucleon force

Details Three-nucleon force Three-nucleon force

Aug 1967

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1967nuphb...2..470l&link_type=abstract

Nuclear Physics B, Volume 2, Issue 4, p. 470-478.

Physics

Nuclear Physics

16

Scientific paper

The expectation value of the two-pion-exchange three-body potential in the triton is estimated. The triton wave function is taken from a variational calculation with a hard-core two-nucleon potential. The effect of the (controversial) I = J = 0 dipion resonance (the σ-meson) is considered. The three-body potential consists of three parts: W = Wp + Ws + Wσ, where Wσ is due to the (virtual) π-N scattering via the σ-meson, while Wp and Ws are due respectively to the p-wave and s-wave π-N scattering via ``direct interactions''. The direct s-wave π-N interaction is set up so that, together with the π-N interaction via the σ-meson, it reproduces the observed s-wave π-N scattering length. Since it is rather meaningless to consider the two-pion-exchange potential alone at short distances, we introduce a cut-off distance d and set the three-body potential to be zero for distances less than d. The result is sensitive to d and also the hard-core raduis D of the two-body potential. For instance, for D = 0.4 fm, the contribution to the binding energy can be as big as about 1 MeV (attractive). Effects of the three-body force in nuclear matter are also discussed briefly.
Supported by the National Research Council of Canada.

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