Near Threshold Proton-Proton Fusion in Effective Field Theory
Journal
Physics Letters
Journal Volume
B720
Pages
385-388
Date Issued
2012-09
Author(s)
Abstract
The astrophysical S-factor for proton–proton fusion, S11(E), is obtained with the nuclear matrix element analytically calculated in pionless effective field theory. To the third order, the zero-energy result S11(0) and the first energy derivative S11′(0) are found to be (3.99±0.14)×10−25MeV b and S11(0)(11.3±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 S11″(0)=S11(0)(170±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.
SDGs
Type
journal article