Muon capture on nuclei: Random phase approximation evaluation versus data for6⩽Z⩽94nuclei

N. T. Zinner, K. Langanke, P. Vogel
2006 Physical Review C  
We use the random phase approximation to systematically describe the total muon capture rates on all nuclei where they have been measured. We reproduce the experimental values on these nuclei to better than 15 free nucleon weak form factors and residual interactions with a mild A dependency. The isospin dependence and the effects associated with shell closures are fairly well reproduced as well. However, the calculated rates for the same residual interactions would be significantly lower than
more » ... cantly lower than the data if the in-medium quenching of the axial-vector coupling constant is employed to other than the true Gamow-Teller amplitudes. Our calculation thus suggests that no quenching is needed in the description of semileptonic weak processes involving higher multipole transitions and momentum transfer ∼ m_μ, with obvious importance to analogous weak processes.
doi:10.1103/physrevc.74.024326 fatcat:trolep3avjd2pkjnyfkdpnev54