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

2000/06/06 by E. Kolbe, K. Langanke, P. Vogel · 2 citations
Physics and Astronomy · #Nuclear physics research studies #Particle physics theoretical and experimental studies #Physics #Quantum Chromodynamics and Particle Interactions #nucl-th

paper · pdf · doi:10.1103/physrevc.62.055502

published as Phys.Rev. C62 (2000) 055502 · submitted to Phys. Rev. C

arxiv created 2000/06/06 · openalex publication_date 2000/10/09 · arxiv updated 2009/12/01 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05

Abstract

We use the random phase approximation to describe the muon capture rate on ⁴⁴Ca, ⁴⁸Ca, ⁵⁶Fe, ⁹⁰Zr, and ²⁰⁸Pb. With ⁴⁰Ca 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. Thus, unlike the allowed \ensuremathβ decays, with very small momentum transfer and exclusively the 1⁺ multipole, the muon capture rate, with momentum transfer of approximately muon mass magnitude, and a mixture of multipoles (dominated by 1^\ensuremath-), does not require any quenching of the axial-vector coupling constant.

Citations

• Weak reactions on 12C within the continuum random phase approximation with partial occupancies

Cited by

• Detailed description of exclusive muon capture rates using realistic two-body forces
• Inclusive quasielastic charged-current neutrino-nucleus reactions