Relativistic quasiparticle random-phase approximation calculation of total muon capture rates

Journal Article · Fri May 15 00:00:00 EDT 2009 · Physical Review. C, Nuclear Physics

DOI:https://doi.org/10.1103/PHYSREVC.79.054323· OSTI ID:21286945

Marketin, T; Paar, N; Niksic, T; Vretenar, D ^[1]

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1. Physics Department, Faculty of Science, University of Zagreb, 10000 Zagreb (Croatia)

The relativistic proton-neutron quasiparticle random phase approximation (pn-RQRPA) is applied in the calculation of total muon capture rates on a large set of nuclei from {sup 12}C to {sup 244}Pu, for which experimental values are available. The microscopic theoretical framework is based on the relativistic Hartree-Bogoliubov (RHB) model for the nuclear ground state, and transitions to excited states are calculated using the pn-RQRPA. The calculation is fully consistent, i.e., the same interactions are used both in the RHB equations that determine the quasiparticle basis, and in the matrix equations of the pn-RQRPA. The calculated capture rates are sensitive to the in-medium quenching of the axial-vector coupling constant. By reducing this constant from its free-nucleon value g{sub A}=1.262 by 10% for all multipole transitions, the calculation reproduces the experimental muon capture rates to better than 10% accuracy.

• OSTI ID: 21286945
• Journal Information: Physical Review. C, Nuclear Physics, Journal Name: Physical Review. C, Nuclear Physics Journal Issue: 5 Vol. 79; ISSN 0556-2813; ISSN PRVCAN
• Country of Publication: United States
• Language: English

Related Subjects

73 NUCLEAR PHYSICS AND RADIATION PHYSICS
CAPTURE
CARBON 12
COMPUTERIZED SIMULATION
COUPLING CONSTANTS
EQUATIONS
EXCITED STATES
GROUND STATES
HARTREE-FOCK-BOGOLYUBOV THEORY
INTERACTIONS
MULTIPOLE TRANSITIONS
MUONS
NEUTRONS
PLUTONIUM 244
PROTONS
QUASI PARTICLES
QUENCHING
RANDOM PHASE APPROXIMATION
RELATIVISTIC RANGE