Abstract
The nuclear gross theory, originally formulated by Takahashi and Yamada (1969 Prog. Theor. Phys. 41 1470) for the β-decay, is applied to the electronic-neutrino nucleus reactions, employing a more realistic description of the energetics of the Gamow–Teller resonances. The model parameters are gauged from the most recent experimental data, both for β--decay and electron capture, separately for even–even, even–odd, odd–odd and odd–even nuclei. The numerical estimates for neutrino-nucleus cross-sections agree fairly well with previous evaluations done within the framework of microscopic models. The formalism presented here can be extended to the heavy nuclei mass region, where weak processes are quite relevant, which is of astrophysical interest because of its applications in supernova explosive nucleosynthesis.
Highlights
The nucleosynthesis of heavy elements is only understood if stellar reactions take place in regions of nuclear chart far away from the β-stability line, involving a large number of unstable or even exotic nuclear species for which the experimental data are very scarce
The formalism presented here can be extended to the heavy nuclei mass region, where weak processes are quite relevant, which is of astrophysical interest because of its applications in supernova explosive nucleosynthesis
Great theoretical and experimental efforts have been invested in the last decades in order to describe the nuclear properties of different species along the β-stability line, as well as those of exotic nuclei involved in explosive nucleosynthesis processes [1, 2, 3]
Summary
The nucleosynthesis of heavy elements is only understood if stellar reactions take place in regions of nuclear chart far away from the β-stability line, involving a large number of unstable or even exotic nuclear species for which the experimental data are very scarce. Afterwards, different versions of the ’gross theory’ have been developed and used for practical applications very frequently [5, 6, 7, 8, 9] This is due to: i) their simplicity when compared with the hard computational work involved in the implementation of the microscopic models, and ii) their capability to reproduce the available experimental data, and to be extrapolated later on to unknown nuclei far away from the β-stability line. As these theoretical approaches account systematically and fairly well for the properties of stable nuclei, they have been extensively applied to describe: 1) the β-decay half-lives and other nuclear observables participating in the r-process, and 2) the properties of a great number of exotic nuclei that are involved in the nucleosynthesis
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