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Proton recoil energy and angular distribution of neutron radiativeβ−decay

2013/06/30 by A. N. Ivanov, Roman Höllwieser, R. Hollwieser +2
Physics and Astronomy · #Atomic and Subatomic Physics Research #Neutrino Physics Research #Particle physics theoretical and experimental studies #hep-ph #nucl-ex #nucl-th

paper · pdf · doi:10.1103/physrevd.88.065026

published as Physical Review D88, 065026 (2013) · 18 pages, 5 figures, The paper is revised. We added chapter VI "Comparison with results, obtained by Glück (Physical Review C47, 2840 (1993))". We confirmed our assertion about a possibility to use the functions g_n and f_n as radiative corrections to neutron beta decay

openalex publication_date 2013/09/24 · arxiv created 2013/09/27 · arxiv updated 2013/09/30 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/28

Abstract

We analyze the proton recoil energy and angular distribution of the radiative \ensuremathβ^\ensuremath- decay of the neutron to leading order in the large baryon mass expansion by taking into account the contributions of the proton-photon correlations. We show that the account for the proton-photon correlations does not contradict the description of the radiative corrections to the lifetime of the neutron and the proton recoil energy spectrum of the neutron \ensuremathβ^\ensuremath- decay in terms of the functions (\ensuremathα/\ensuremathπ)gn(Ee) and (\ensuremathα/\ensuremathπ)fn(Ee), where Ee is the electron energy. In addition we find that the contributions of the proton-photon correlations in the radiative \ensuremathβ^\ensuremath- decay of the neutron to the proton recoil asymmetry C are of order 10^\ensuremath-4. They make the contributions of the radiative corrections to the proton recoil asymmetry C symmetric with respect to a change A0\ensuremath↔B0, where A0 and B0 are the correlation coefficients of the neutron \ensuremathβ^\ensuremath- decay.

Citations