Abstract
We calculate the p-wave contribution to the proton-proton fusion S factor and its energy derivative in pionless effective-field theory (EFT) up to next-to-leading order. The leading contributions are given by a recoil piece from the Gamow-Teller and Fermi operators and from relativistic 1/m suppressed weak interaction operators. We obtain the value of (2.5±0.3)×10-28MeVfm2 for the S factor and (2.2±0.2)×10-26fm2 for its energy derivative at threshold. These are smaller than the results of a prior study that employed chiral EFT by several orders of magnitude. We conclude that, contrary to what has been previously reported, the p-wave contribution does not need to be considered in a high-precision determination of the S factor at astrophysical energies. Combined with the chiral EFT calculation of Acharya et al. [Phys. Lett. B 760, 584 (2016)PYLBAJ0370-269310.1016/j.physletb.2016.07.032] for the s-wave channel, this gives a total threshold S factor of S(0)=(4.047-0.032+0.024)×10-23MeVfm2.
| Original language | English |
|---|---|
| Article number | 021001 |
| Journal | Physical Review C |
| Volume | 100 |
| Issue number | 2 |
| DOIs | |
| State | Published - Aug 19 2019 |
| Externally published | Yes |
Funding
Acknowledgments. This work was supported by the U.S. National Science Foundation under Grants No. PHY-1555030 and No. PHY-1615092, by the Office of Nuclear Physics, U.S. Department of Energy under Contract No. DE-AC05-00OR22725, and by the Deutsche Forschungsgemeinschaft through The Low-Energy Frontier of the Standard Model CRC (Grant No. SFB 1044) and through the PRISMA + Cluster of Excellence. G.R. acknowledges support from the JINPA at Oak Ridge National Laboratory and The University of Tennessee during his sabbatical where part of this research was completed. L.P. and G.R. thank the GSI-funded EMMI RRTF Workshop “ER15-02: Systematic Treatment of the Coulomb Interaction in Few-Body Systems” participants for valuable discussions and hosts for their hospitality.