Muon capture, continuum random phase approximation, and in-medium renormalization of the axial-vector coupling constant

Journal Article · Tue Nov 01 04:00:00 EST 1994 · Physical Review, C (Nuclear Physics); (United States)

DOI:https://doi.org/10.1103/PhysRevC.50.2576· OSTI ID:6904582

Kolbe, E; Langanke, K ^[1]; Vogel, P ^[2]

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1. W. K. Kellogg Radiation Laboratory, 106-38, California Institute of Technology, Pasadena, California 91125 (United States)
2. Physics Department, California Institute of Technology, Pasadena, California 91125 (United States)

We use the continuum random phase approximation to describe the muon capture on [sup 12]C,[sup 16]O, and [sup 40]Ca. We reproduce the experimental total capture rates on these nuclei to better than 10% using the free nucleon weak form factors and two different residual interactions. However, the calculated rates for the same residual interactions are significantly lower than the data if the in-medium quenching of the axial-vector coupling constant is employed.

• DOE Contract Number: FG03-88ER40397
• OSTI ID: 6904582
• Journal Information: Physical Review, C (Nuclear Physics); (United States), Journal Name: Physical Review, C (Nuclear Physics); (United States) Vol. 50:5; ISSN 0556-2813; ISSN PRVCAN
• Country of Publication: United States
• Language: English

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73 NUCLEAR PHYSICS AND RADIATION PHYSICS
ALGEBRAIC CURRENTS
AXIAL-VECTOR CURRENTS
BASIC INTERACTIONS
CALCIUM 40 TARGET
CAPTURE
CARBON 12 TARGET
CHARGED-PARTICLE REACTIONS
CROSS SECTIONS
CURRENTS
ELEMENTARY PARTICLES
FERMIONS
FORM FACTORS
INTERACTIONS
LEPTON REACTIONS
LEPTONS
MUON REACTIONS
MUONS
MUONS MINUS
NUCLEAR REACTIONS
OXYGEN 16 TARGET
PARTICLE PROPERTIES
RANDOM PHASE APPROXIMATION
TARGETS
WEAK INTERACTIONS