Proton Recoil Energy and Angular Distribution of Neutron Radiative Beta Decay

Abstract

We analyse the proton recoil energy and angular distribution of the radiative beta-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 beta-decay in terms of the functions (α/π) gn(Ee) and (α/π) fn(Ee), where Ee is the electron energy. In addition we find that the contributions of the proton-photon correlations in the radiative beta-decay of the neutron to the proton recoil asymmetry C are of order 10(-4). They make the contributions of the radiative corrections to the proton recoil asymmetry C symmetric with respect to a change A0 <--> B0, where A0 and B0 are the correlation coefficients of the neutron beta-decay.

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