Near Threshold Proton-Proton Fusion in Effective Field Theory
Nuclear Theory
2015-06-11 v2
Abstract
The astrophysical S-factor for proton-proton fusion, S_11(E), is obtained with the nuclear matrix element analytically calculated in pionless effective field theory. To the third order, the zero-energy result S_11(0) and the first energy derivative S'_11(0) are found to be (3.99 \pm 0.14)* 10^-25 MeV b and S_11(0)*(11.3 \pm 0.1) MeV^-1, respectively; both consistent with the current adopted values. The second energy derivative is also calculated for the first time, and the result S"_11(0) = S_11(0)*(170 \pm 2) MeV^-2 contributes at the level of 0.5% to the fusion rate at the solar center, which is smaller than 1% as previously estimated.
Keywords
Cite
@article{arxiv.1209.2552,
title = {Near Threshold Proton-Proton Fusion in Effective Field Theory},
author = {Jiunn-Wei Chen and C. -P. Liu and Shen-Hsi Yu},
journal= {arXiv preprint arXiv:1209.2552},
year = {2015}
}
Comments
Some typographical mistakes are fixed in this new version