dorsal/arxiv
View SchemaA nonlinear approach to NN interactions using self-interacting meson fields
| Authors | L. Jaede, H. V. von Geramb |
|---|---|
| Categories | |
| ArXiv ID | nucl-th/9604002 |
| URL | https://arxiv.org/abs/nucl-th/9604002 |
| DOI | 10.1103/PhysRevC.55.57 |
| Journal | Phys.Rev.C55:57-66,1997 |
Abstract
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 an 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.
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"abstract": "Motivated by the success of models based on chiral symmetry in NN\ninteractions we investigate self-interacting scalar, pseudoscalar and vector\nmeson fields and their impact for NN forces. We parametrize the corresponding\nnonlinear field equations and get analytic wavelike solutions. A probability\namplitude for the propagation of particle states is calculated and applied in\nthe framework of a boson-exchange NN potential. Using a proper normalization of\nthe meson fields makes all self-scattering amplitudes finite. The same\nnormalization is able to substitute for the phenomenological form factors used\nin conventional boson exchange potentials and thus yields an phenomenological\nunderstanding of this part of the NN interaction. We find an empirical scaling\nlaw which relates the meson self-interaction couplings to the pion mass and\nself-interaction coupling constant. Our model yields np phase shifts comparable\nto the Bonn B potential results and deuteron properties, in excellent agreement\nwith experimental data.",
"arxiv_id": "nucl-th/9604002",
"authors": [
"L. Jaede",
"H. V. von Geramb"
],
"categories": [
"nucl-th",
"hep-ph"
],
"doi": "10.1103/PhysRevC.55.57",
"journal_ref": "Phys.Rev.C55:57-66,1997",
"title": "A nonlinear approach to NN interactions using self-interacting meson fields",
"url": "https://arxiv.org/abs/nucl-th/9604002"
},
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