Muon capture on deuteron and ³He

Journal Article · Sat Jan 01 04:00:00 EST 2011 · Physical Review. C, Nuclear Physics

DOI:https://doi.org/10.1103/PhysRevC.83.014002· OSTI ID:1007991

Marcucci, L. E.; Piarulli, M.; Viviani, M.; Girlanda, L.; Kievsky, A.; Rosati, S.; Schiavilla, R.

The muon capture reactions ²H(μ^-, v_μ)nn and ³He(μ^-, v_μ)³H are studied with realistic or chiral potentials and consistent weak currents. The initial and final A = 2 and 3 nuclear wave functions are obtained from the Argonne v18 (AV18) or chiral N3LO (N3LO) two-nucleon potential, in combination with, respectively, the Urbana IX (UIX) or chiral N2LO (N2LO) three-nucleon potential in the case of A = 3. The weak current consists of polar- and axial-vector components. The former are related to the isovector piece of the electromagnetic current via the conserved-vector-current hypothesis. These and the axial currents are derived either in a meson-exchange or in a chiral effective field theory ( EFT) framework. There is one parameter (either the N-to-Delta axial coupling constant in the meson-exchange model, or the strength of a contact term in the EFT model) which is fixed by reproducing the Gamow-Teller matrix element in tritium-decay. The model dependence relative to the adopted interactions and currents (and cutoff sensitivity in the EFT currents) is weak, resulting in total rates of 392.0 ± 2.3 s^-1 for A = 2, and 1484 ± 13 s^-1 for A = 3, where the spread accounts for this model dependence.

• Research Organization: Thomas Jefferson National Accelerator Facility, Newport News, VA (United States)
• Sponsoring Organization: USDOE Office of Science (SC)
• DOE Contract Number: AC05-06OR23177
• OSTI ID: 1007991
• Report Number(s): JLAB-THY--10-1200; DOE/OR/23177--1257; arXiv:1008.1172
• Journal Information: Physical Review. C, Nuclear Physics, Journal Name: Physical Review. C, Nuclear Physics Journal Issue: 1 Vol. 83; ISSN 0556-2813; ISSN PRVCAN
• Publisher: American Physical Society (APS)
• Country of Publication: United States
• Language: English

Related Subjects

72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
BOSON-EXCHANGE MODELS
COUPLING CONSTANTS
DEUTERONS
HYPOTHESIS
ISOVECTORS
MATRIX ELEMENTS
MUONS
SENSITIVITY
TRITIUM
WAVE FUNCTIONS