dorsal/arxiv
View SchemaLow Energy Theorems For Nucleon-Nucleon Scattering
| Authors | Thomas D. Cohen, James M. Hansen |
|---|---|
| Categories | |
| ArXiv ID | nucl-th/9808038 |
| URL | https://arxiv.org/abs/nucl-th/9808038 |
| DOI | 10.1103/PhysRevC.59.13 |
| Journal | Phys.Rev.C59:13-20,1999 |
Abstract
Low energy theorems are derived for the coefficients of the effective range expansion in s-wave nucleon-nucleon scattering valid to leading order in an expansion in which both $m_\pi$ and $1/a$ (where $a$ is the scattering length) are treated as small mass scales. Comparisons with phase shift data, however, reveal a pattern of gross violations of the theorems for all coefficients in both the $^1S_0$ and $^3S_1$ channels. Analogous theorems are developed for the energy dependence $\epsilon$ parameter which describes $^3S_1 - ^3D_1$ mixing. These theorems are also violated. These failures strongly suggest that the physical value of $m_\pi$ is too large for the chiral expansion to be valid in this context. Comparisons of $m_\pi$ with phenomenological scales known to arise in the two-nucleon problem support this conjecture.
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"abstract": "Low energy theorems are derived for the coefficients of the effective range\nexpansion in s-wave nucleon-nucleon scattering valid to leading order in an\nexpansion in which both $m_\\pi$ and $1/a$ (where $a$ is the scattering length)\nare treated as small mass scales. Comparisons with phase shift data, however,\nreveal a pattern of gross violations of the theorems for all coefficients in\nboth the $^1S_0$ and $^3S_1$ channels. Analogous theorems are developed for the\nenergy dependence $\\epsilon$ parameter which describes $^3S_1 - ^3D_1$ mixing.\nThese theorems are also violated. These failures strongly suggest that the\nphysical value of $m_\\pi$ is too large for the chiral expansion to be valid in\nthis context. Comparisons of $m_\\pi$ with phenomenological scales known to\narise in the two-nucleon problem support this conjecture.",
"arxiv_id": "nucl-th/9808038",
"authors": [
"Thomas D. Cohen",
"James M. Hansen"
],
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"nucl-th"
],
"doi": "10.1103/PhysRevC.59.13",
"journal_ref": "Phys.Rev.C59:13-20,1999",
"title": "Low Energy Theorems For Nucleon-Nucleon Scattering",
"url": "https://arxiv.org/abs/nucl-th/9808038"
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