$S$-factor and scattering parameters from ${}^3$He + ${}^4$He $\rightarrow {}^7$Be + $\gamma$ data
Abstract
We use the next-to-leading-order (NLO) amplitude in an effective field theory (EFT) for He + He Be + 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 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 -factor keV b at 68% degree of belief. We also find significant constraints on He-He scattering parameters.
Cite
@article{arxiv.1811.07611,
title = {$S$-factor and scattering parameters from ${}^3$He + ${}^4$He $\rightarrow {}^7$Be + $\gamma$ data},
author = {Xilin Zhang and Kenneth M. Nollett and Daniel R. Phillips},
journal= {arXiv preprint arXiv:1811.07611},
year = {2018}
}
Comments
4 pages, 2 figures. Submitted to the proceedings of the 22nd International Conference on Few-body Problems in Physics, Caen, France, July 9-13, 2018. Uses svproc.cls