Theoretical Study of the {sup 3}He({mu}, {nu}{sub {mu}}){sup 3}H Capture

Journal Article · Sat Dec 01 04:00:00 EST 2001

OSTI ID:789463

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

The {sup 3}He({mu}, {nu}{sub {mu}}){sup 3}H weak capture is studied using correlated-hyperspherical-harmonics wave functions, obtained from realistic Hamiltonians consisting of the Argonne v{sub 14} or Argonne v{sub 18} two-nucleon, and Tucson-Melbourne or Urbana-IX three-nucleon interactions. The nuclear weak charge and current operators have vector and axial-vector components that include one- and two-body contributions. The strength of the leading two-body operator in the axial-vector current is adjusted to reproduce the Gamow-Teller matrix element in tritium {beta}-decay. The calculated total capture rate is in excellent agreement with the most recent experimental determination 1496 {+-} 4 sec{sup -1}, when the PCAC value is adopted for the induced pseudo-scalar coupling constant g{sub PS}. The predictions for the capture rate and angular correlation parameters A{sub v}, A{sub t}, and A{sub {Delta}} are found to be only very weakly dependent on the model input Hamiltonian. The variation of these observables with g{sub PS} and the theoretical uncertainties deriving from the model-dependent procedure used to constrain the axial current are investigated.

• Research Organization: Thomas Jefferson National Accelerator Facility, Newport News, VA (US)
• Sponsoring Organization: USDOE Office of Energy Research (ER) (US)
• DOE Contract Number: AC05-84ER40150
• OSTI ID: 789463
• Report Number(s): JLAB-THY-01-39; DOE/ER/40150-1960; nucl-th/0112008
• Country of Publication: United States
• Language: English

Related Subjects

74 ATOMIC AND MOLECULAR PHYSICS
ANGULAR CORRELATION
AXIAL-VECTOR CURRENTS
BETA DECAY
CAPTURE
COUPLING CONSTANTS
GAMOW-TELLER RULES
HAMILTONIANS
HELIUM 3
MUON NEUTRINOS
TRITIUM
WAVE FUNCTIONS