Tests of the standard model in neutron beta decay with polarized electrons and unpolarized neutrons and protons

Abstract

We calculate the correlation coefficients of the electron-energy and electron-antineutrino angular distribution of the neutron β - decay with polarized electron and unpolarised neutron and proton. The calculation is carried out within the standard model (SM) with the contributions, caused by the weak magnetism, proton recoil and radiative corrections of order of 10-3, Wilkinson's corrections of order 10-5 [Wilkinson, Nucl. Phys. A377, 474 (1982)NUPBBO0550-321310.1016/0375-9474(82)90051-3 and Ivanov et al., Phys. Rev. C 95, 055502 (2017)PRVCAN2469-998510.1103/PhysRevC.95.055502] and the contributions of interactions beyond the SM. The obtained results can be used for the analysis of experimental data on searches of interactions beyond the SM at the level of 10-4 [Abele, Hyperfine Interact. 237, 155 (2016)HYINDN0304-384310.1007/s10751-016-1352-z]. The contributions of G-odd correlations are calculated and found at the level of 10-5 in agreement with the results obtained by Gardner and Plaster [Phys. Rev. C 87, 065504 (2013)PRVCAN0556-281310.1103/PhysRevC.87.065504] and Ivanov et al. [Phys. Rev. C 98, 035503 (2018)PRVCAN2469-998510.1103/PhysRevC.98.035503].