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) g_n(E_e) and (α/π) 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.

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

References in corpus (3)

• The Reactor Antineutrino Anomaly
• On Continuum-State and Bound-State Beta Decay Rates of the Neutron
• Neutron Beta Decay Studies with Nab

Cited by in corpus (8)

• Neutron Beta-Decay as Laboratory for Test of Standard Model
• Precision analysis of electron energy spectrum and angular distribution of neutron beta decay with polarized neutron and electron
• Test of the Standard Model in Neutron Beta Decay with Polarized Electron and Unpolarized Neutron and Proton
• The Bound-State Beta Decay of the Neutron Revisited
• Precision Theoretical Analysis of Neutron Radiative Beta Decay to Order "O(α^2/π^2)"
• Radiative corrections of order O(alpha E_e/m_N) to Sirlin's radiative corrections of order O(alpha/pi) to neutron lifetime
• Precision Theoretical Analysis of Neutron Radiative Beta Decay
• Theoretical description of the neutron beta decay in the standard model at the level of 10^{-5}