Influence of the Axial-Vector Coupling Constant and the Energy Distribution Function on β-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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Autores principales: Possidonio, D. N., Ferreira, R. C., Dimarco, A. J., Barbero, César Alberto, Samana, A. R., Azevedo, M. R., Santana, C. L., Mariano, Alejandro Edgardo
Formato: Articulo
Lenguaje:Inglés
Publicado: 2018
Materias:
Física
Gross theory
β-Decay
Axial-vector coupling constant
Distribution function
Acceso en línea:http://sedici.unlp.edu.ar/handle/10915/146264
Aporte de:
SEDICI (UNLP) de Universidad Nacional de La Plata
id I19-R120-10915-146264
record_format dspace
institution Universidad Nacional de La Plata
institution_str I-19
repository_str R-120
collection SEDICI (UNLP)
language Inglés
topic Física
Gross theory
β-Decay
Axial-vector coupling constant
Distribution function
spellingShingle Física
Gross theory
β-Decay
Axial-vector coupling constant
Distribution function
Possidonio, D. N.
Ferreira, R. C.
Dimarco, A. J.
Barbero, César Alberto
Samana, A. R.
Azevedo, M. R.
Santana, C. L.
Mariano, Alejandro Edgardo
Influence of the Axial-Vector Coupling Constant and the Energy Distribution Function on β-Decay Rates Within the Gross Theory of Beta Decay
topic_facet Física
Gross theory
β-Decay
Axial-vector coupling constant
Distribution function
description 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.
format Articulo
Articulo
author Possidonio, D. N.
Ferreira, R. C.
Dimarco, A. J.
Barbero, César Alberto
Samana, A. R.
Azevedo, M. R.
Santana, C. L.
Mariano, Alejandro Edgardo
author_facet Possidonio, D. N.
Ferreira, R. C.
Dimarco, A. J.
Barbero, César Alberto
Samana, A. R.
Azevedo, M. R.
Santana, C. L.
Mariano, Alejandro Edgardo
author_sort Possidonio, D. N.
title Influence of the Axial-Vector Coupling Constant and the Energy Distribution Function on β-Decay Rates Within the Gross Theory of Beta Decay
title_short Influence of the Axial-Vector Coupling Constant and the Energy Distribution Function on β-Decay Rates Within the Gross Theory of Beta Decay
title_full Influence of the Axial-Vector Coupling Constant and the Energy Distribution Function on β-Decay Rates Within the Gross Theory of Beta Decay
title_fullStr Influence of the Axial-Vector Coupling Constant and the Energy Distribution Function on β-Decay Rates Within the Gross Theory of Beta Decay
title_full_unstemmed Influence of the Axial-Vector Coupling Constant and the Energy Distribution Function on β-Decay Rates Within the Gross Theory of Beta Decay
title_sort influence of the axial-vector coupling constant and the energy distribution function on β-decay rates within the gross theory of beta decay
publishDate 2018
url http://sedici.unlp.edu.ar/handle/10915/146264
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