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Nonlinear approach to NN interactions using self-interacting meson fields

Journal Article · · Physical Review, C
;  [1]
  1. Theoretische Kernphysik, Universitaet Hamburg, Luruper Chaussee 149, D-22761 Hamburg (Germany)
Motivated by the success of models based on chiral symmetry in NN interactions, we investigate self-interacting scalar, pseudoscalar, and vector meson fields and their impact for NN forces. We parametrize the corresponding nonlinear field equations and get analytic wavelike solutions. A probability amplitude for the propagation of particle states is calculated and applied in the framework of a boson-exchange NN potential. Using a proper normalization of the meson fields makes all self-scattering amplitudes finite. The same normalization is able to substitute for the phenomenological form factors used in conventional boson-exchange potentials and thus yields a phenomenological understanding of this part of the NN interaction. We find an empirical scaling law which relates the meson self-interaction couplings to the pion mass and self-interaction coupling constant. Our model yields np phase shifts comparable to the Bonn B potential results and deuteron properties, in excellent agreement with experimental data. {copyright} {ital 1997} {ital The American Physical Society}
OSTI ID:
435248
Journal Information:
Physical Review, C, Journal Name: Physical Review, C Journal Issue: 1 Vol. 55; ISSN PRVCAN; ISSN 0556-2813
Country of Publication:
United States
Language:
English

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