dorsal/arxiv
View SchemaPeripheral Nucleon-Nucleon Phase Shifts and Chiral Symmetry
| Authors | N. Kaiser, R. Brockmann, W. Weise |
|---|---|
| Categories | |
| ArXiv ID | nucl-th/9706045 |
| URL | https://arxiv.org/abs/nucl-th/9706045 |
| DOI | 10.1016/S0375-9474(97)00586-1 |
| Journal | Nucl.Phys. A625 (1997) 758-788 |
Abstract
Within the one-loop approximation of baryon chiral perturbation theory we calculate all one-pion and two-pion exchange contributions to the nucleon-nucleon interaction. In fact we construct the elastic NN-scattering amplitude up to and including third order in small momenta. The phase shifts with orbital angular momentum $L\geq2 $ and the mixing angles with $J\geq2$ are given parameterfree and thus allow for a detailed test of chiral symmetry in the two-nucleon system. We find that for the D-waves the $2\pi$-exchange corrections are too large as compared with empirical phase shifts, signaling the increasing importance of shorter range effects in lower partial waves. For higher partial waves, especially for G-waves, the model independent $2\pi$-exchange corrections bring the chiral prediction close to empirical NN phase shifts. We propose to use the chiral NN phase shifts with $L\geq 3$ as input in a future phase shift analysis. Furthermore, we compute the irreducible two-pion exchange NN-potentials in coordinate space. They turn out to be of van-der-Waals type, with exponential screening of two-pion mass range.
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"abstract": "Within the one-loop approximation of baryon chiral perturbation theory we\ncalculate all one-pion and two-pion exchange contributions to the\nnucleon-nucleon interaction. In fact we construct the elastic NN-scattering\namplitude up to and including third order in small momenta. The phase shifts\nwith orbital angular momentum $L\\geq2 $ and the mixing angles with $J\\geq2$ are\ngiven parameterfree and thus allow for a detailed test of chiral symmetry in\nthe two-nucleon system. We find that for the D-waves the $2\\pi$-exchange\ncorrections are too large as compared with empirical phase shifts, signaling\nthe increasing importance of shorter range effects in lower partial waves. For\nhigher partial waves, especially for G-waves, the model independent\n$2\\pi$-exchange corrections bring the chiral prediction close to empirical NN\nphase shifts. We propose to use the chiral NN phase shifts with $L\\geq 3$ as\ninput in a future phase shift analysis. Furthermore, we compute the irreducible\ntwo-pion exchange NN-potentials in coordinate space. They turn out to be of\nvan-der-Waals type, with exponential screening of two-pion mass range.",
"arxiv_id": "nucl-th/9706045",
"authors": [
"N. Kaiser",
"R. Brockmann",
"W. Weise"
],
"categories": [
"nucl-th",
"hep-ph"
],
"doi": "10.1016/S0375-9474(97)00586-1",
"journal_ref": "Nucl.Phys. A625 (1997) 758-788",
"title": "Peripheral Nucleon-Nucleon Phase Shifts and Chiral Symmetry",
"url": "https://arxiv.org/abs/nucl-th/9706045"
},
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