A next-to-next-to-leading-order $pp \to ppπ^0$ transition operator in chiral perturbation theory

Details A next-to-next-to-leading-order $pp \to ppπ^0$ transition operator in chiral perturbation theory A next-to-next-to-leading-order $pp \to ppπ^0$ transition operator in chiral perturbation theory

1999-02-19

arxiv.org/abs/nucl-th/9902048v3

Phys.Lett.B465:43-54,1999

Physics

Nuclear Physics

Nuclear Theory

15 pages, 6 (eps) figures, corrected the sign of type VII graph in Table II, changed one sentence in the text accordingly

Scientific paper

10.1016/S0370-2693(99)01075-8

We present a systematic analysis of next-to-next-to-leading-order diagrams that contribute to the $pp \to pp\pi^0$ production at threshold. Analytic expressions are given for the effective transition operators, and the relative importance of various types of diagrams is discussed. The vertex-correction-type graphs are found to give only small corrections to lower order graphs in conformity with expectations. By contrast, we find very large contributions from the two-pion graphs which can be interpreted as a part of effective $\sigma$-meson exchange diagrams. The recoil correction to the pion rescattering diagram also turns out to be large.

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