Coulomb tunneling for fusion reactions in dense matter: Path integral Monte Carlo versus mean field

Details Coulomb tunneling for fusion reactions in dense matter: Path integral Monte Carlo versus mean field Coulomb tunneling for fusion reactions in dense matter: Path integral Monte Carlo versus mean field

2007-07-24

arxiv.org/abs/0707.3500v1

Phys.Rev.D76:025028,2007

Astronomy and Astrophysics

Astrophysics

13 pages, 7 figures, to appear in Phys. Rev. D

Scientific paper

10.1103/PhysRevD.76.025028

We compare Path Integral Monte Carlo calculations by Militzer and Pollock (Phys. Rev. B 71, 134303, 2005) of Coulomb tunneling in nuclear reactions in dense matter to semiclassical calculations assuming WKB Coulomb barrier penetration through the radial mean-field potential. We find a very good agreement of two approaches at temperatures higher than ~1/5 of the ion plasma temperature. We obtain a simple parameterization of the mean field potential and of the respective reaction rates. We analyze Gamow-peak energies of reacting ions in various reaction regimes and discuss theoretical uncertainties of nuclear reaction rates taking carbon burning in dense stellar matter as an example.

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