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

Kolbe, E.; Langanke, K.; Vogel, P.

doi:10.1103/PhysRevC.62.055502

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

Jun, 2000

9 pages

Published in:

Phys.Rev.C 62 (2000) 055502

e-Print:

nucl-th/0006007 [nucl-th]

DOI:

10.1103/PhysRevC.62.055502

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Abstract:

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.

muon nucleus: capture
calcium: nuclide
iron
zirconium
lead
random phase approximation
renormalization
nuclear matter
coupling constant: axial-vector
numerical calculations

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