Weak proton capture on {sup 3}He

Journal Article · Mon Jan 01 04:00:00 EST 2001 · Physical Review C

DOI:https://doi.org/10.1103/PhysRevC.63.015801· OSTI ID:40206125

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

The astrophysical S factor for the proton weak capture on {sup 3}He is calculated with correlated-hyperspherical-harmonics bound and continuum wave functions corresponding to realistic Hamiltonians consisting of the Argonne v{sub 14} or Argonne v{sub 18} two-nucleon and Urbana-VIII or Urbana-IX three-nucleon interactions. The nuclear weak charge and current operators have vector and axial-vector components that include one- and many-body terms. All possible multipole transitions connecting any of the p-{sup 3}He S- and P-wave channels to the {sup 4}He bound state are considered. The S factor at a p-{sup 3}He center-of-mass energy of 10 keV, close to the Gamow-peak energy, is predicted to be 10.1x10{sup -20} keVb with the AV18/UIX Hamiltonian, a factor of {approx_equal}4.5 larger than the value adopted in the standard solar model. The P-wave transitions are found to be important, contributing about 40% of the calculated S factor. The energy dependence is rather weak: the AV18/UIX zero-energy S factor is 9.64x10{sup -20} keVb, only 5% smaller than the 10 keV result quoted above. The model dependence is also found to be weak: the zero-energy S factor is calculated to be 10.2x10{sup -20} keVb with the older AV14/UVIII model, only 6% larger than the AV18/UIX result. Our best estimate for the S factor at 10 keV is therefore (10.1{+-}0.6)x10{sup -20} keVb, when the theoretical uncertainty due to the model dependence is included. This value for the calculated S factor is not as large as determined in fits to the Super-Kamiokande data in which the hep flux normalization is free. However, the precise calculation of the S factor and the consequent absolute prediction for the hep neutrino flux will allow much greater discrimination among proposed solar neutrino oscillation solutions.

• Sponsoring Organization: (US)
• OSTI ID: 40206125
• Journal Information: Physical Review C, Journal Name: Physical Review C Journal Issue: 1 Vol. 63; ISSN 0556-2813
• Publisher: The American Physical Society
• Country of Publication: United States
• Language: English

Related Subjects

71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
BOUND STATE
ENERGY DEPENDENCE
FORECASTING
HAMILTONIANS
MULTIPOLE TRANSITIONS
NEUTRINOS
OSCILLATIONS
PROTONS
SOLAR NEUTRINOS
STAR MODELS
VECTORS
WAVE FUNCTIONS