Advances in the field-theoretic understanding of pion production in nucleon-nucleon collisions

Details Advances in the field-theoretic understanding of pion production in nucleon-nucleon collisions Advances in the field-theoretic understanding of pion production in nucleon-nucleon collisions

2006-09-04

arxiv.org/abs/nucl-th/0609007v1

Int.J.Mod.Phys.A22:591-595,2007

Physics

Nuclear Physics

Nuclear Theory

To appear in the proceedings of the international conference MESON 2006, Cracow, Poland, 9 - 13 June 2006; 4 pages, 2 figures,

Scientific paper

10.1142/S0217751X07035902

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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