Cross section predictions for hydrostatic and explosive burning

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 low-density 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. (c) 2004 Elsevier B.V. All rights reserved.