Radiative Corrections to Asymmetry and Energy Spectrum of β Rays from Polarized Nuclei

Abstract

We have studied the radiative corrections to the angular distribution and energy spectrum of β rays from polarized nuclei. Explicit formulas of the radiative corrections are given for the angle-dependent and angle-independent terms and for the asymmetry factor, under the assumption of the effective current-current interaction of the V-ρA type for the β decay. The lowest order corrections to the first two are almost the same and depend on the cutoff. The asymmetry factor of the β-ray angular distribution is scarcely affected by the radiative corrections. In particular, these corrections are independent of the cutoff for the Gamow-Teller transition. It is also shown that the radiative corrections to the β-ray spectrum are consistent with those given by Kinoshita and Sirlin, and Berman and Sirlin. Numerical values of the radiative corrections are tabulated for the β decays, 12B→12C+e-+ν and 12N→12C+e++ν.