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Published May 1, 1984 | Published
Journal Article Open

Analysis of the antineutrino capture on protons

Vogel, P. ORCID icon

Abstract

Corrections to the zeroth-approximation cross-section formula for antineutrino capture on protons at nuclear reactors are evaluated. They include recoil corrections 1/M of three kinds. The true recoil correction to the cross section is negligible. The weak-magnetism—axial-vector interference is sizable, decreasing the cross section by ∼2% for 5-MeV positrons. One also has to include the recoil-neutron 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 5-MeV 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.

Additional Information

© 1984 The American Physical Society. Received 11 October 1983; revised 12 December 1983; published in the issue dated 1 May 1984. The author would like to thank F. Boehm, J. Gimlett, H. Kwon, B. McKellar, and J. L. Vuilleumier for valuable discussions and comments. The hospitality of CERN Theory Division is much appreciated. This work has been initiated at the Aspen Center for Physics; its stimulating atmosphere was very helpful. The work was supported in part by the U.S. Department of Energy.

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August 19, 2023
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