English

Proton Recoil Energy and Angular Distribution of Neutron Radiative Beta Decay

High Energy Physics - Phenomenology 2013-09-30 v2 Nuclear Experiment Nuclear Theory

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 (\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.

Keywords

Cite

@article{arxiv.1306.4448,
  title  = {Proton Recoil Energy and Angular Distribution of Neutron Radiative Beta Decay},
  author = {A. N. Ivanov and R. Hollwieser and N. I. Troitskaya and M. Wellenzohn},
  journal= {arXiv preprint arXiv:1306.4448},
  year   = {2013}
}

Comments

18 pages, 5 figures, The paper is revised. We added chapter VI "Comparison with results, obtained by Gl\"uck (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