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

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dc.creatorChugunov, A. I.
dc.creatorDeWitt, H. E.
dc.creatorYakovlev, D. G.
dc.date2007-07-24
dc.date.accessioned2026-07-07T10:56:54Z
dc.date.available2026-07-07T10:56:54Z
dc.descriptionWe 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.
dc.description13 pages, 7 figures, to appear in Phys. Rev. D
dc.identifierhttps://arxiv.org/abs/0707.3500
dc.identifierhttp://arxiv.org/abs/0707.3500
dc.identifierPhys.Rev.D76:025028,2007
dc.identifierdoi:10.1103/PhysRevD.76.025028
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/186570
dc.subjectAstrophysics
dc.subjectNuclear Theory
dc.titleCoulomb tunneling for fusion reactions in dense matter: Path integral Monte Carlo versus mean field
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