Abstract
We use the next-to-leading-order (NLO) amplitude in an effective field theory (EFT) for \({}^{3}\mathrm {He}+{}^{4}\mathrm {He}\rightarrow {}^{7}\mathrm {Be}+ \gamma \) to perform the extrapolation of higher-energy data to solar energies. At this order the EFT describes the capture process using an s-wave scattering length and effective range, the asymptotic behavior of \({}^{7}\mathrm {Be}\) and its excited state, and short-distance contributions to the E1 capture amplitude. We use a Bayesian analysis to infer the multi-dimensional posterior of these parameters from capture data below 2 MeV. The total S factor \(S(0)= 0.578^{+0.015}_{-0.016}\) keV b at 68% degree of belief. We also find significant constraints on \({}^{3}\mathrm {He}\)–\({}^{4}\mathrm {He}\) scattering parameters.
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Acknowledgements
This work is supported by the US DoE under grants DE-FG02-93ER-40756 (DP), DE-FG02-97ER-41014 (XZ), DE-SC0019257 (KMN), through MSU subcontract RC107839-OSU for the NUCLEI SciDAC collaboration (XZ), by the US NSF via grants PHY-1614460 (XZ) and PHY-1630782, N3AS FRHTP (DP), and by the ExtreMe Matter Institute EMMI at the GSI Helmholtzzentrum für Schwerionenphysik (DP).
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Zhang, X., Nollett, K.M., Phillips, D.R. (2020). S-factor and Scattering Parameters from \({}^3\)He + \({}^4\)He \(\rightarrow {}^7\)Be + \(\gamma \) Data. In: Orr, N., Ploszajczak, M., Marqués, F., Carbonell, J. (eds) Recent Progress in Few-Body Physics. FB22 2018. Springer Proceedings in Physics, vol 238. Springer, Cham. https://doi.org/10.1007/978-3-030-32357-8_30
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DOI: https://doi.org/10.1007/978-3-030-32357-8_30
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