dorsal/arxiv
View SchemaPeripheral NN-Scattering: Role of Delta-Excitation, Correlated Two-Pion and Vector Meson Exchange
| Authors | N. Kaiser, S. Gerstendoerfer, W. Weise |
|---|---|
| Categories | |
| ArXiv ID | nucl-th/9802071 |
| URL | https://arxiv.org/abs/nucl-th/9802071 |
| DOI | 10.1016/S0375-9474(98)00234-6 |
| Journal | Nucl.Phys.A637:395-420,1998 |
Abstract
We evaluate, within one-loop chiral perturbation theory, the two-pion exchange diagrams with single and double delta-isobar excitation contributing to elastic NN-scattering. We find that virtual $\Delta$-excitation processes (in the static limit) produce the correct amount of isoscalar central attraction as needed in the peripheral partial waves with $L\geq 3$. Furthermore we compute the two-loop diagrams involving the $\pi\pi$-interaction (so-called correlated $2\pi$-exchange). Contrary to common believe these processes lead to negligibly small and repulsive corrections to the NN-potential. The exchange of vector mesons ($\rho, \omega$) turns out to be important for the F-wave phase shifts above $T_{lab}=150$ MeV. Without adjustable parameters we are able to reproduce the empirical NN phase shifts up to 350 MeV for $L\geq 3$ and up to about (50--80) MeV for the D-waves. This is therefore the characteristic window in which the NN-interaction is basically governed by chiral symmetry. Not surprisingly, the lower partial waves require non-perturbative methods and additional short-distance parametrizations of the NN-dynamics.
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"abstract": "We evaluate, within one-loop chiral perturbation theory, the two-pion\nexchange diagrams with single and double delta-isobar excitation contributing\nto elastic NN-scattering. We find that virtual $\\Delta$-excitation processes\n(in the static limit) produce the correct amount of isoscalar central\nattraction as needed in the peripheral partial waves with $L\\geq 3$.\nFurthermore we compute the two-loop diagrams involving the $\\pi\\pi$-interaction\n(so-called correlated $2\\pi$-exchange). Contrary to common believe these\nprocesses lead to negligibly small and repulsive corrections to the\nNN-potential. The exchange of vector mesons ($\\rho, \\omega$) turns out to be\nimportant for the F-wave phase shifts above $T_{lab}=150$ MeV. Without\nadjustable parameters we are able to reproduce the empirical NN phase shifts up\nto 350 MeV for $L\\geq 3$ and up to about (50--80) MeV for the D-waves. This is\ntherefore the characteristic window in which the NN-interaction is basically\ngoverned by chiral symmetry. Not surprisingly, the lower partial waves require\nnon-perturbative methods and additional short-distance parametrizations of the\nNN-dynamics.",
"arxiv_id": "nucl-th/9802071",
"authors": [
"N. Kaiser",
"S. Gerstendoerfer",
"W. Weise"
],
"categories": [
"nucl-th"
],
"doi": "10.1016/S0375-9474(98)00234-6",
"journal_ref": "Nucl.Phys.A637:395-420,1998",
"title": "Peripheral NN-Scattering: Role of Delta-Excitation, Correlated Two-Pion and Vector Meson Exchange",
"url": "https://arxiv.org/abs/nucl-th/9802071"
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