Weak proton capture on {sup 3}He
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 {upsilon}{sub 14} or Argonne {upsilon}{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 10.1 x 10{sup {minus}20} keV b with the AV18/UIX Hamiltonian, a factor of about 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 9.64 x 10{sup {minus}20} keV b, 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 10.2 x 10{sup {minus}20} keV b with the older AV14/UVIII model, only 6% larger than the AV18/UIX result. Their best estimate for the S-factor at 10 keV is therefore (10.1 {+-} 0.6) x 10{sup {minus}20} keV b, 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.
- Research Organization:
- Thomas Jefferson National Accelerator Facility (TJNAF), Newport News, VA (United States)
- Sponsoring Organization:
- USDOE Office of Energy Research (ER) (US)
- DOE Contract Number:
- AC05-84ER40150
- OSTI ID:
- 756938
- Report Number(s):
- JLAB-THY-00-15; DOE/ER/40150-1671; nucl-th/0006005; TRN: US0003728
- Journal Information:
- submitted to Phys. Rev. C, Vol. 63, Issue 1; Other Information: Submitted to submitted to Phys. Rev. C; PBD: 1 Mar 2000; ISSN 0556--2813
- Country of Publication:
- United States
- Language:
- English
Similar Records
Realistic calculation of the hep astrophysical factor
Realistic Calculation of the {sup 3}He + p (hep ) Astrophysical Factor