Towards a Nuclear Parameter Calculation for Astrophysical Applications

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Scientific paper

We evaluate the electronic neutrino-nucleus cross section within the context of a nuclear gross theory. We adopt an improved version of the gross theory of β-decay with a new trend for the theoretical parameter representing the energy spread of Gamow-Teller resonance by the spin-dependence part of the nuclear force within this model is obtained. A first application of this calculation is made in the region of nuclei involved in pre-supernova collapse where a comparison with available experimental results can be done (A<70). The obtained results agree with previous evaluations within other microscopic models. Present formalism can be extended to the region A>70 and offers an useful tool to perform nuclear calculations of neutrino capture cross section and β-decay rates for r-process nucleosynthesis within supernova neutrino wind environment.

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