2-Nucleon 1-Loop Corrections to Pion Double Charge Exchange within Heavy Baryon Chiral Perturbation Theory
Abstract
Description
One-loop corrections at the two-nucleon level to Pion Double Charge exchange (DCX) scattering off a nuclear target at threshold, are calculated within the framework of Heavy Baryon Chiral Perturbation Theory (HBChPT). An estimate for the (2-nucleon) 1-loop correction is obtained in the static limit and using an impulse approximation. We find a small (1.6%) increase relative to the leading order tree graphs.
30 pages, RevTex, 5 tables, 5 ps figures; estimate of single-nucleon 1-loop corrections to the pi-pi, pi-N, 3pi-N vertices included in Section VI; references added; clarifying remarks regarding notations and new results related to 1-loop integrals included; discussion on Weinberg's power counting rule expanded; this revised version to appear in PRC
30 pages, RevTex, 5 tables, 5 ps figures; estimate of single-nucleon 1-loop corrections to the pi-pi, pi-N, 3pi-N vertices included in Section VI; references added; clarifying remarks regarding notations and new results related to 1-loop integrals included; discussion on Weinberg's power counting rule expanded; this revised version to appear in PRC