dorsal/arxiv
View SchemaAdvances in the field-theoretic understanding of pion production in nucleon-nucleon collisions
| Authors | V. Lensky, J. Haidenbauer, C. Hanhart, V. Baru, A. Kudryavtsev, U. -G. Meißner |
|---|---|
| Categories | |
| ArXiv ID | nucl-th/0609007 |
| URL | https://arxiv.org/abs/nucl-th/0609007 |
| DOI | 10.1142/S0217751X07035902 |
| Journal | Int.J.Mod.Phys.A22:591-595,2007 |
Abstract
We study the production amplitude for the reaction $NN\to NN\pi$ up to next-to-leading order in chiral perturbation theory. We show that the irreducible chiral loops at this order exactly cancel those terms that arise from the off-shell parts of the $\pi N$ rescattering vertex. This cancellation is required for formal consistency of the whole scheme. The net effect of the inclusion of all next-to-leading order loops is to enhance the leading rescattering amplitude by a factor of 4/3 compared to phenomenological studies, bringing its contribution to the cross section for $pp\to d\pi^+$ close to the experimental value.
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"abstract": "We study the production amplitude for the reaction $NN\\to NN\\pi$ up to\nnext-to-leading order in chiral perturbation theory. We show that the\nirreducible chiral loops at this order exactly cancel those terms that arise\nfrom the off-shell parts of the $\\pi N$ rescattering vertex. This cancellation\nis required for formal consistency of the whole scheme. The net effect of the\ninclusion of all next-to-leading order loops is to enhance the leading\nrescattering amplitude by a factor of 4/3 compared to phenomenological studies,\nbringing its contribution to the cross section for $pp\\to d\\pi^+$ close to the\nexperimental value.",
"arxiv_id": "nucl-th/0609007",
"authors": [
"V. Lensky",
"J. Haidenbauer",
"C. Hanhart",
"V. Baru",
"A. Kudryavtsev",
"U. -G. Mei\u00dfner"
],
"categories": [
"nucl-th"
],
"doi": "10.1142/S0217751X07035902",
"journal_ref": "Int.J.Mod.Phys.A22:591-595,2007",
"title": "Advances in the field-theoretic understanding of pion production in nucleon-nucleon collisions",
"url": "https://arxiv.org/abs/nucl-th/0609007"
},
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