Ab initio informed evaluation of the radiative capture of protons on $^7$Be

TL;DR

This paper presents ab initio calculations of the $^7$Be($p$, $ abla$)$^8$B reaction to accurately predict the astrophysical S-factor at zero energy, reducing uncertainties in solar neutrino flux predictions.

Contribution

The study introduces a first-principles approach to evaluate the $^7$Be($p$, $ abla$)$^8$B reaction, providing a more reliable S-factor estimate with quantified uncertainties.

Findings

Predicted $S_{17}$(0) = 19.8 ± 0.3 eV·b, aligning with experimental data.

Demonstrated the effectiveness of ab initio methods in light-ion astrophysical reactions.

Set a new standard for uncertainty quantification in nuclear reaction evaluations.

Abstract

The radiative capture of protons by $^7$Be, which is the source of $^8$B that $\beta$-decays emitting the majority of solar neutrinos measured on earth, has not yet been measured at astrophysically relevant energies. The recommended value for its zero-energy S-factor, $S_{17}$(0) = 20.8$\pm$(0.7)exp$\pm$(1.4)theory eV$\cdot$b, relies on theoretical extrapolations from higher-energy measurements, a process that leads to significant uncertainty. We performed a set of first-principle (or, ab initio) calculations of the $^7$Be($p$, $\gamma$)$^8$B reaction to provide an independent prediction of the low-energy S-factor with quantified uncertainties. We demonstrate underlying features in the predicted S-factor allowing the combination of theoretical calculations and measurements to produce an evaluated S-factor of $S_{17}$(0) = 19.8$\pm$0.3 eV$\cdot$b. We expect the calculations and uncertainty quantification process described here to set a new standard for the evaluation of light-ion astrophysical reactions.