2006
DOI: 10.1016/j.nuclphysa.2004.10.024
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Cross section predictions for hydrostatic and explosive burning

Abstract: We review different models used for reactions involved in nuclear astrophysics. The reaction rate is defined for resonant as well as for non-resonant processes. For lowdensity nuclei, we describe the DWBA method, the potential model, the R-matrix method, and microscopic cluster models. The statistical model is developed for high-level densities. Details of calculations in the low-and high-density regimes are illustrated with new results concerning transfer reactions and level densities.

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Cited by 41 publications
(41 citation statements)
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“…Even if data is available, it can only provide a measure of σ µ = ν σ µν and thus does not provide the required σ * . Depending on the number of resonances in the Gamow window [2], one has to consider direct reactions, the influence of few resonances, or an average over many resonances [35]. Here, we want to focus on the latter and on direct capture.…”
Section: B Relevant Reaction Theorymentioning
confidence: 99%
See 1 more Smart Citation
“…Even if data is available, it can only provide a measure of σ µ = ν σ µν and thus does not provide the required σ * . Depending on the number of resonances in the Gamow window [2], one has to consider direct reactions, the influence of few resonances, or an average over many resonances [35]. Here, we want to focus on the latter and on direct capture.…”
Section: B Relevant Reaction Theorymentioning
confidence: 99%
“…A nucleon or nucleon group is directly transferred from the projectile to the final state without excitation of any other nucleons in the system [35,37,38]. This mechanism will dominate at very high interaction energies where the compound nucleus formation is suppressed due to the short interaction timescale and at low energies in the absence of resonances, again suppressing the formation of a compound nucleus.…”
Section: B Relevant Reaction Theorymentioning
confidence: 99%
“…Current radioactive ion beam facilities are still limited to a region around stability and often reactions cannot be measured unless either the target or residual nucleus is long-lived or stable. Because of the low interaction energies in astrophysically relevant reactions, the statistical Hauser-Feshbach model [1] can be used to predict reaction rates provided the level density in the compound nucleus is sufficiently high [2]. The model requires input based on nuclear structure physics, such as nuclear masses and deformations, optical model potentials, and nuclear level densities.…”
mentioning
confidence: 99%
“…Transmission functions for particles are usually predicted by utilizing the optical model [1]. This requires an optical potential with real and imaginary parts that are, in principle, dependent on the type of the projectile, target mass, and projectile energy.…”
Section: Optical Potentialsmentioning
confidence: 99%
“…Due to the comparatively low energies (E 10 MeV for charged projectiles and E 1 MeV for neutrons) relevant in astrophysical plasmas, mainly three reaction mechanisms are important [1]: compound, resonant, and direct reactions. In principle, both resonant and direct mechanism may contribute to the reaction cross section although one of them is negligible in most cases.…”
Section: Introductionmentioning
confidence: 99%