Muon capture on deuteron and 3He
The muon capture reactions 2H(μ-, vμ)nn and 3He(μ-, vμ)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 (TJNAF), 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; PRVCAN; TRN: US1101328
- Journal Information:
- Physical Review. C, Nuclear Physics, Vol. 83, Issue 1; ISSN 0556-2813
- Publisher:
- American Physical Society (APS)
- Country of Publication:
- United States
- Language:
- English
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