Momentum and Coordinate Space Three-nucleon Potentials

Details Momentum and Coordinate Space Three-nucleon Potentials Momentum and Coordinate Space Three-nucleon Potentials

1993-05-31

arxiv.org/abs/nucl-th/9305017v1

Phys.Rev.C48:2559-2575,1993

Physics

Nuclear Physics

Nuclear Theory

LATEX, 33 pages, 3 figures (available as postscript files upon request)

Scientific paper

10.1103/PhysRevC.48.2559

In this paper we give explicit formulae in momentum and coordinate space for the three-nucleon potentials due to $\rho$ and $\pi$ meson exchange, derived from off-mass-shell meson-nucleon scattering amplitudes which are constrained by the symmetries of QCD and by the experimental data. Those potentials have already been applied to nuclear matter calculations. Here we display additional terms which appear to be the most important for nuclear structure. The potentials are decomposed in a way that separates the contributions of different physical mechanisms involved in the meson-nucleon amplitudes. The same type of decomposition is presented for the $\pi - \pi$ TM force: the $\Delta$, the chiral symmetry breaking and the nucleon pair terms are isolated.

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