Skyrme-Model $πNN$ Form Factor and Nucleon-Nucleon Interaction

Details Skyrme-Model $πNN$ Form Factor and Nucleon-Nucleon Interaction Skyrme-Model $πNN$ Form Factor and Nucleon-Nucleon Interaction

1996-10-26

arxiv.org/abs/nucl-th/9610041v2

Phys.Rev.C55:1088-1095,1997

Physics

Nuclear Physics

Nuclear Theory

20 pages, RevTex, 14 figures

Scientific paper

10.1103/PhysRevC.55.1088

We apply the strong $\pi NN$ form factor, which emerges from the Skyrme model, in the two-nucleon system using a one-boson-exchange (OBE) model for the nucleon-nucleon (NN) interaction. Deuteron properties and phase parameters of NN scattering are reproduced well. In contrast to the form factor of monopole shape that is traditionally used in OBE models, the Skyrme form factor leaves low momentum transfers essentially unaffected while it suppresses the high-momentum region strongly. It turns out that this behavior is very appropriate for models of the NN interaction and makes possible to use a soft pion form factor in the NN system. As a consequence, the $\pi N$ and the $NN$ systems can be described using the same soft $\pi NN$ form factor, which is impossible with the monopole.

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