Universal behavior of $p$-wave proton-proton fusion near threshold
| Autor: | Gautam Rupak, Bijaya Acharya, Lucas Platter |
|---|---|
| Jazyk: | angličtina |
| Rok vydání: | 2019 |
| Předmět: |
Physics
Particle physics Fusion Proton Nuclear Theory 010308 nuclear & particles physics P wave FOS: Physical sciences Order (ring theory) Weak interaction 01 natural sciences Nuclear Theory (nucl-th) Near threshold High Energy Physics - Phenomenology High Energy Physics - Phenomenology (hep-ph) Recoil Astrophysics - Solar and Stellar Astrophysics 0103 physical sciences 010306 general physics Nuclear theory Solar and Stellar Astrophysics (astro-ph.SR) |
| Popis: | We calculate the $p$-wave contribution to the proton-proton fusion $S$ factor and its energy derivative in pionless effective field theory (EFT) up to next-to-leading order. The leading contributions are given by a recoil piece from the Gamow-Teller and Fermi operators, and from relativistic $1/m$ suppressed weak interaction operators. We obtain the value of $(2.5\pm0.3 )\times 10^{-28}~\mathrm{MeV\ fm^2}$ for the $S$ factor and $(2.2\pm0.2) \times 10^{-26}~\mathrm{fm^2}$ for its energy derivative at threshold. These are smaller than the results of a prior study that employed chiral EFT by several orders of magnitude. We conclude that, contrary to what has been previously reported, the $p$-wave contribution does not need to be considered in a high-precision determination of the $S$ factor at astrophysical energies. Combined with the chiral EFT calculation of Acharya {\it et al.} [Phys. Lett. B \bf{760}, 584 (2016)] for the $s$-wave channel, this gives a total threshold $S$ factor of $S(0) = (4.047^{+0.024}_{-0.032}) \times 10^{-23}~{\rm MeV~fm}^2$. 5 pages, 2 figures |
| Databáze: | OpenAIRE |
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