2002
DOI: 10.1140/epja/i2002-10063-3
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Potential resonant screening effects on stellar 12C + 12C reaction rates

Abstract: The 12 C+ 12 C fusion cross sections show resonant behavior down to the lowest energies accessible so far in the laboratory. If this tendency continues into the astrophysical energy range, the stellar 12 C+ 12 C reaction rates have to be corrected for resonant screening effects, in addition to the conventional screening corrections. We estimate the resonant screening effects in the weak electron screening limit for hydrostatic burning and white dwarf environments.

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Cited by 15 publications
(29 citation statements)
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“…Carbon burning proceeds mainly through 12 C( 12 C, α) 20 Ne and 12 C( 12 C, p) 23 Na reactions, the rates of which remain relatively uncertain, in particular because of the possible presence of low-energy resonances (Cussons et al 2003). This effect comes on top of the large uncertainties already affecting 12 C(α, γ) 16 O which primarily determines the carbon content inside the white dwarf.…”
Section: Effect Of Carbon Burning Rates Uncertaintiesmentioning
confidence: 99%
“…Carbon burning proceeds mainly through 12 C( 12 C, α) 20 Ne and 12 C( 12 C, p) 23 Na reactions, the rates of which remain relatively uncertain, in particular because of the possible presence of low-energy resonances (Cussons et al 2003). This effect comes on top of the large uncertainties already affecting 12 C(α, γ) 16 O which primarily determines the carbon content inside the white dwarf.…”
Section: Effect Of Carbon Burning Rates Uncertaintiesmentioning
confidence: 99%
“…gives rise to further correction beside the screening and the potential resonant screening, already investigated in Cussons et al (2002); Itoh et al (2003). It is important to point out that the nonextensivity does not affect the other plasma corrections: therefore, we can define an effective factor F as…”
Section: Resonant Fusion Reactionsmentioning
confidence: 99%
“…By assuming the value of q = 0.991 of the entropic nonextensive parameters to evaluate nonextensive corrections we obtain that (i) the luminosity yield of the pp chain is slightly affected by the deformed statistics, with respect to the luminosity yield of the CNO cycle; (ii) the nonextensive CNO correction ranges from 37% to more than 53%; (iii) above T ≈ 2 × 10 7 K, the luminosity is mainly due to the CNO cycle only, thus confirming that CNO cycle always plays a crucial role in the stellar evolution, when the star grows hotter toward the white dwarf stage. Cussons et al (2002) proposed, on the basis of experimental measurements at energy E ∼ 2.4 MeV, that the resonant behavior of the stellar 12 C + 12 C fusion cross section could continue down to the astrophysical energy range, thus leading rise, beside the usual Debye-Hückel screening (whose corrective factor is f S ), to further plasma resonant screening effect (conventionally described by a suitable f RS factor). While f S > 1 enhances the reaction rate, it has been pointed out that f RS < 1, i.e.…”
Section: Resonant Fusion Reactionsmentioning
confidence: 99%
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“…Cussons, Langanke and Liolios [28] proposed, on the basis of experimental measurements at energy E ∼ 2.4 MeV, that the resonant behavior of the stellar 12 C+ 12 C fusion cross section could continue down to the astrophysical energy range.…”
Section: Resonant Reaction Rates In Astrophysical Plasmamentioning
confidence: 99%