Precision calculation of 3He(α,γ)7Be for solar physics

Abstract

We calculate the cross section for radiative capture 3He(α,γ)7Be at next-to-next-to-leading order (NNLO). At this order of perturbation, momentum dependent two-body currents make their first appearance. We provide a model-independent construction of these currents from gauge and Galilean invariance, where the general framework for constructing higher-order two-body currents in low-energy effective field theories becomes evident. The 3He(α,γ)7Be astrophysical S-factor S34(0)= 0.564+0.17-0.015 keV b is obtained from a Bayesian analysis at NNLO, with an additional nominal theoretical uncertainty 0.017 keV b of 3%.

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