We study the leading radiative correction to proton-proton fusion using the pionless effective field theory framework at leading order. We derive the relevant matrix elements and evaluate them using the method of regions. We benchmark the accuracy of our approximations by carrying out numerical computations of the full expressions. We show that the first order radiative corrections due to the exchange of a Coulomb photon between positron and proton-proton systems map onto the Sirlin function and the O(α) contribution from the Fermi function. We furthermore find that the nuclear structure dependent radiative correction omitted in the previous analysis by Kurylov et al gives an up to 0.2 % correction to the pp fusion S-factor with its size ultimately depending on a two-nucleon counterterm L1A that renormalizes the axial two-body current.Not Available
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Revisiting proton–proton fusion in chiral effective field theory
Abstract We calculate the S -factor for proton–proton fusion using chiral effective field theory interactions and currents. By performing order-by-order calculations with a variety of chiral interactions that are regularized and calibrated in different ways, we assess the uncertainty in the S -factor from the truncation of the effective field theory expansion and from the sensitivity of the S -factor to the short-distance axial current determined from three- and four-nucleon observables. We find that S (0) = (4.100 ± 0.024(syst) ± 0.013(stat) ± 0.008( g A )) × 10 −23 MeV fm 2 , where the three uncertainties arise, respectively, from the truncation of the effective field theory expansion, use of the two-nucleon axial current fit to few-nucleon observables and variation of the axial coupling constant within the recommended range. The increased value of S (0) compared to previous calculations is mainly driven by an increase in the recommended value for the axial coupling constant and is in agreement with a recent analysis based on pionless effective field theory.
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- PAR ID:
- 10436488
- Date Published:
- Journal Name:
- Journal of Physics G: Nuclear and Particle Physics
- Volume:
- 50
- Issue:
- 9
- ISSN:
- 0954-3899
- Page Range / eLocation ID:
- 095102
- Format(s):
- Medium: X
- Sponsoring Org:
- National Science Foundation
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