Abstract
The relativistic proton-neutron quasiparticle random phase approximation (-RQRPA) is applied in the calculation of total muon capture rates on a large set of nuclei from to , for which experimental values are available. The microscopic theoretical framework is based on the relativistic Hartree-Bogoliubov (RHB) model for the nuclear ground state, and transitions to excited states are calculated using the -RQRPA. The calculation is fully consistent, i.e., the same interactions are used both in the RHB equations that determine the quasiparticle basis, and in the matrix equations of the -RQRPA. The calculated capture rates are sensitive to the in-medium quenching of the axial-vector coupling constant. By reducing this constant from its free-nucleon value by 10% for all multipole transitions, the calculation reproduces the experimental muon capture rates to better than 10% accuracy.
- Received 10 December 2008
DOI:https://doi.org/10.1103/PhysRevC.79.054323
©2009 American Physical Society