Precision Calculation of n+p->d+gamma Cross Section for Big-Bang Nucleosynthesis

Abstract

An effective field theory calculation of the n+p->d+gamma cross section accurate to 1% for center of mass energy E up to ~1 MeV is presented. At these energies, which are relevant for big-bang nucleosynthesis, isovector magnetic transitions M1 and isovector electric transitions E1 give the dominant contributions. The M1 amplitude is calculated up to next-to-next-to-leading order (NNLO) and the contribution from the associated four-nucleon-one-photon operator is determined from the cold neutron capture rate. The E1 amplitude is calculated up to NNNNLO. The four-nucleon-one-photon operator contribution to E1 is determined from the related deuteron photodisintegration reaction gamma+d->n+p.

16 pages, 3 figures; References added, errors re-evaluated, conclusions unchanged

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