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arxiv: 1306.4448 · v2 · pith:OCELMYZInew · submitted 2013-06-19 · ✦ hep-ph · nucl-ex· nucl-th

Proton Recoil Energy and Angular Distribution of Neutron Radiative Beta Decay

classification ✦ hep-ph nucl-exnucl-th
keywords neutronprotonradiativerecoilbeta-decayenergycontributionscorrelations
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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 (\alpha/\pi) g_n(E_e) and (\alpha/\pi) f_n(E_e), where E_e 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 A_0 <--> B_0, where A_0 and B_0 are the correlation coefficients of the neutron beta-decay.

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