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.

Citing Article(s):

1. Progress of Theoretical Physics Vol. 54 No. 2 (1975) pp. 595–597

   Induced Pseudoscalar Interaction in Nuclear Beta Decay and G-Parity Nonconservation Masato Morita

2. Progress of Theoretical Physics Vol. 58 No. 4 (1977) pp. 1218–1230

   Electron-Newtrino Angular Correlation in G-Parity Nonconservation Toru Sato, Joji Yamane and Masato Morita

3. Progress of Theoretical Physics Supplement No.60 (1976) pp. 1–18

   Asymmetry of Beta-Ray Angular Distribution in Polarized ¹²B and ¹²N and Second-Class Current Masato Morita, Mitiaki Nishimura, Asao Shimizu, Hisao Ohtsubo and Kuniharu Kubodera

4. Progress of Theoretical Physics Supplement No.60 (1976) pp. 19–28

   Beta-Decay Asymmetries in Polarized ¹²B and ¹²N, and the G-Parity Nonconservation Kenzo Sugimoto and Isao Tanihata

5. Progress of Theoretical Physics Supplement No.60 (1976) pp. 37–46

   Radiative Corrections to Nuclear Beta Decay Yoshimatsu Yokoo and Masato Morita