Nuclear Polarization of ¹²B in Muon Capture Reaction

Abstract

The average and longitudinal polarizations of the recoil ¹²B are studied in detail in the reaction, ¹²C+ µ^- →¹²B+ ν_µ. The contributions from excited states are properly taken into account. They cannot be neglected even if we adopt the low branching ratios for the excited states obtained in the recent experimental data. The effects of core polarization and exchange currents are considerably large. The core polarization enhances the average polarization, while the exchange currents reduce it. Contrary to this, both effects reduce the partial muon capture rate for the ground state of ¹²B. The latest experimental data on the ratio of the average polarization to the longitudinal polarization gives the coupling constant ratio, g_P/ g_A=9.1 ±1.8, with the 0p-shell wave function of Hauge and Maripuu and the Sussex interaction for the core polarization. Practically the same value of g_P/ g_A is obtained with the Cohen-Kurath type wave function.

Citing Article(s):

1. Progress of Theoretical Physics Vol. 74 No. 4 (1985) pp. 736-749

   Muon Capture in Complex Nuclei of Nonzero Spin Kunio Koshigiri, Yujiro Kakudo, Hisao Ohtsubo and Masato Morita

2. Progress of Theoretical Physics Vol. 78 No. 2 (1987) pp. 343-357

   Polarizations of ¹²B in Muon Capture Reaction with Higher Order Configuration Mixing Mamoru Fukui, Kunio Koshigiri, Toru Sato, Hisao Ohtsubo and Masato Morita

3. Progress of Theoretical Physics Vol. 86 No. 1 (1991) pp. 13-16

   Muon Capture in Hyperfine States of Muonic Deuterium Makoto Doi, Toru Sato, Hisao Ohtsubo and Masato Morita

© Copyright (c) 1983 Progress of Theoretical Physics 1983