The proton-proton weak capture in chiral effective field theory

Abstract

The astrophysical S-factor for proton-proton weak capture is calculated in chiral effective field theory over the center-of-mass relative-energy range 0--100 keV. The chiral two-nucleon potential derived up to next-to-next-to-next-to leading order is augmented by the full electromagnetic interaction including, beyond Coulomb, two-photon and vacuum-polarization corrections. The low-energy constants (LEC's) entering the weak current operators are fixed so as to reproduce the A=3 binding energies and magnetic moments, and the Gamow-Teller matrix element in tritium beta decay. Contributions from S and P partial waves in the incoming two-proton channel are retained. The S-factor at zero energy is found to be S(0)=(4.030 +/- 0.006) x 10^{-23} MeV fm^2, with a P-wave contribution of 0.020 x 10^{-23} MeV fm^2. The theoretical uncertainty is due to the fitting procedure of the LEC's and to the cutoff dependence.

4 pages, 3 figures; revisited version accepted for publication on Phys. Rev. Lett. A misprint in Table II has been corrected

References in corpus (4)

• Chiral effective field theory and nuclear forces
• Inclusive neutrino scattering off deuteron from threshold to GeV energies
• Muon capture on deuteron and 3He
• Near Threshold Proton-Proton Fusion in Effective Field Theory

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