dorsal/arxiv
View SchemaIs The Heavy Fermion Formalism Applicable to Meson Production Process?
| Authors | E. Gedalin, A. Moalem, L. Razdolskaya |
|---|---|
| Categories | |
| ArXiv ID | nucl-th/9812009 |
| URL | https://arxiv.org/abs/nucl-th/9812009 |
Abstract
We consider tree diagram contributions to neutral pion production in pp ->pp pi0 using chiral perturbation theory in the relativistic and extremely non-relativistic limits. In marked difference with the results from heavy fermion formalism, the impulse and s-wave rescattering terms in the relativistic limit have equal signs and therefore add constructively, giving rise to a substantial contribution to the cross section. We argue that the power series expansion of the nucleon propagator is on the border of its convergence circle. Consequently, a finite order heavy fermion formalism does not predict nucleon pole terms correctly and therefore can not be applied to meson production.
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"abstract": "We consider tree diagram contributions to neutral pion production in pp -\u003epp\npi0 using chiral perturbation theory in the relativistic and extremely\nnon-relativistic limits. In marked difference with the results from heavy\nfermion formalism, the impulse and s-wave rescattering terms in the\nrelativistic limit have equal signs and therefore add constructively, giving\nrise to a substantial contribution to the cross section. We argue that the\npower series expansion of the nucleon propagator is on the border of its\nconvergence circle. Consequently, a finite order heavy fermion formalism does\nnot predict nucleon pole terms correctly and therefore can not be applied to\nmeson production.",
"arxiv_id": "nucl-th/9812009",
"authors": [
"E. Gedalin",
"A. Moalem",
"L. Razdolskaya"
],
"categories": [
"nucl-th"
],
"title": "Is The Heavy Fermion Formalism Applicable to Meson Production Process?",
"url": "https://arxiv.org/abs/nucl-th/9812009"
},
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"variant": "snapshot-2026-03-01",
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