Influence of the axial-vector coupling constant and the energy distribution function on beta-decay rates within the Gross Theory of Beta Decay

We evaluate the β-decay rates within the gross theory of beta decay (GTBD) and compare the results for different values of the axial-vector coupling constant, gA = 0.76, gA = 0.88, gA = 1, gA = 1.13, and gA = 1.26, and also different energy distribution functions like Gaussian, exponential, Lorentzi...

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Detalhes bibliográficos
Autores: Possidonio, D. N., Ferreira, R. C., Dimarco, A. J., Barbero, César Alberto, Samana, Arturo Rodolfo, Azevedo, M. R., Santana, C. L., Mariano, Alejandro Edgardo
Tipo de documento: artigo
Estado:Versão publicada
Data de publicação:2018
País:Argentina
Recursos:Consejo Nacional de Investigaciones Científicas y Técnicas
Repositório:CONICET Digital (CONICET)
Idioma:inglês
OAI Identifier:oai:ri.conicet.gov.ar:11336/181413
Acesso em linha:http://hdl.handle.net/11336/181413
Access Level:Acceso aberto
Palavra-chave:BETA
NÚCLEO
ACOPLAMIENTO
VECTORIAL
https://purl.org/becyt/ford/1.3
https://purl.org/becyt/ford/1
Descrição
Resumo:We evaluate the β-decay rates within the gross theory of beta decay (GTBD) and compare the results for different values of the axial-vector coupling constant, gA = 0.76, gA = 0.88, gA = 1, gA = 1.13, and gA = 1.26, and also different energy distribution functions like Gaussian, exponential, Lorentzian, and modified Lorentzian ones. We use new sets of parameters as well as updated experimental mass defects and also an improved approximation for the Fermi function. We compare our calculated results for a set of 94 nuclei of interest in pre-supernova phase, with experimental data in terrestrial conditions and also with other theoretical models like the QRPA, the shell model (SM), and different versions of the GTBD. We show that best results are obtained with gA = 1 using Gaussian and Lorentzian distributions, being the rates for the 74 and 80% of our sample, respectively, of the same order of magnitude that of experimental data. Finally, we show that the present results within the GTBD are better than those within the QRPA model and also older versions of the GTBD for the isotopes of cobalt and iron families, and comparable with SM for some elements.

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