Analysis of the antineutrino capture on protons
Abstract
Corrections to the zerothapproximation crosssection formula for antineutrino capture on protons at nuclear reactors are evaluated. They include recoil corrections 1M of three kinds. The true recoil correction to the cross section is negligible. The weakmagnetismaxialvector interference is sizable, decreasing the cross section by ~2% for 5MeV positrons. One also has to include the recoilneutron energy in relating the positron and antineutrino energies in order to evaluate the antineutrino flux. That effect decreases the positron yield by as much as 6% for 5MeV positrons. The radiative corrections of order α have been also evaluated; they increase the cross section by ~1.5% near threshold and by ~0.7% at 5MeV. Formulas and a table of numerical values of all corrections are presented.
 Publication:

Physical Review D
 Pub Date:
 May 1984
 DOI:
 10.1103/PhysRevD.29.1918
 Bibcode:
 1984PhRvD..29.1918V