dorsal/arxiv
View SchemaThe near threshold N N -> d pi reaction in chiral perturbation theory
| Authors | A. Gardestig, D. R. Phillips, Ch. Elster |
|---|---|
| Categories | |
| ArXiv ID | nucl-th/0511042 |
| URL | https://arxiv.org/abs/nucl-th/0511042 |
| DOI | 10.1103/PhysRevC.73.024002 |
| Journal | Phys.Rev.C73:024002,2006 |
Abstract
The near-threshold n p -> d pi0 cross section is calculated in chiral perturbation theory to next-to-leading order in the expansion parameter sqrt{M m_pi}/Lambda_chi. At this order irreducible pion loops contribute to the relevant pion-production operator. While their contribution to this operator is finite, considering initial-and final-state distortions produces a linear divergence in its matrix elements. We renormalize this divergence by introducing a counterterm, whose value we choose in order to reproduce the threshold n p -> d pi0 cross section measured at TRIUMF. The energy-dependence of this cross section is then predicted in chiral perturbation theory, being determined by the production of p-wave pions, and also by energy dependence in the amplitude for the production of s-wave pions. With an appropriate choice of the counterterm, the chiral prediction for this energy dependence converges well.
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"abstract": "The near-threshold n p -\u003e d pi0 cross section is calculated in chiral\nperturbation theory to next-to-leading order in the expansion parameter sqrt{M\nm_pi}/Lambda_chi. At this order irreducible pion loops contribute to the\nrelevant pion-production operator. While their contribution to this operator is\nfinite, considering initial-and final-state distortions produces a linear\ndivergence in its matrix elements. We renormalize this divergence by\nintroducing a counterterm, whose value we choose in order to reproduce the\nthreshold n p -\u003e d pi0 cross section measured at TRIUMF. The energy-dependence\nof this cross section is then predicted in chiral perturbation theory, being\ndetermined by the production of p-wave pions, and also by energy dependence in\nthe amplitude for the production of s-wave pions. With an appropriate choice of\nthe counterterm, the chiral prediction for this energy dependence converges\nwell.",
"arxiv_id": "nucl-th/0511042",
"authors": [
"A. Gardestig",
"D. R. Phillips",
"Ch. Elster"
],
"categories": [
"nucl-th",
"hep-ph",
"nucl-ex"
],
"doi": "10.1103/PhysRevC.73.024002",
"journal_ref": "Phys.Rev.C73:024002,2006",
"title": "The near threshold N N -\u003e d pi reaction in chiral perturbation theory",
"url": "https://arxiv.org/abs/nucl-th/0511042"
},
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