n + p -> d + gamma in Effective Field Theory

Abstract

The radiative capture process n+p-> d+gamma provides clear evidence for meson exchange currents in nuclear physics. We compute this process at low energies using a recently developed power counting for the effective field theory that describes nucleon-nucleon interactions. The leading order contribution to this process comes from the photon coupling to the nucleon magnetic moments. At subleading order there are other contributions. Among these are graphs where the photon couples directly to pions, i.e. meson exchange currents. These diagrams are divergent and require the presence of a local four-nucleon-one photon counterterm. The coefficient of this operator is determined by the measured cross section, 334.2 +- 0.5 mb, for incident neutrons with speed |v|=2200 m/s.