Muon capture on nuclei with N > Z, random phase approximation, and in-medium renormalization of the axial-vector coupling constant

Details Muon capture on nuclei with N > Z, random phase approximation, and in-medium renormalization of the axial-vector coupling constant Muon capture on nuclei with N > Z, random phase approximation, and in-medium renormalization of the axial-vector coupling constant

2000-06-06

arxiv.org/abs/nucl-th/0006007v1

Phys.Rev. C62 (2000) 055502

Physics

Nuclear Physics

Nuclear Theory

submitted to Phys. Rev. C

Scientific paper

10.1103/PhysRevC.62.055502

We use the random phase approximation to describe the muon capture rate on ${}^{44}$Ca,${}^{48}$Ca, ${}^{56}$Fe, ${}^{90}$Zr, and ${}^{208}$Pb. With ${}^{40}$Ca as a test case, we show that the Continuum Random Phase Approximation (CRPA) and the standard RPA give essentially equivalent descriptions of the muon capture process. Using the standard RPA with the free nucleon weak form factors we reproduce the experimental total capture rates on these nuclei quite well. Confirming our previous CRPA result for the $N = Z$ nuclei, we find that the calculated rates would be significantly lower than the data if the in-medium quenching of the axial-vector coupling constant were employed.

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