Effects of Antineutrino mass on β−-Decay Rates Calculated Within the Gross Theory of Beta Decay

Azevedo, M. R.; Ferreira, Renata Carneiro; Dimarco, A. J.; Barbero, César Alberto; Samana, A. R.; Possidonio, Daykson N.

doi:10.1007/s13538-019-00723-z

Cited by 4 publications

(2 citation statements)

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“…Among them, β-decay and electron capture are of particular interest since they are relevant in astrophysical processes in the pre-supernova stage. Among the various nuclear models existing in the literature for βdecay, we choose to use the Gross Theory of Beta Decay (GTBD) in this work because it has advantages when working with a large number of nuclei, thus facilitating [1][2][3] and references therein).…”

Section: Introductionmentioning

confidence: 99%

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Beta Decay Rates Evaluated Within the Gross Theory Using Experimental Data for the Gamow-Teller Resonance Parameter

2020

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We improve the results for the β −-decay rates obtained within the context of the Gross Theory of Beta Decay (GTBD) by using new values of the parameter σ N related to the standard deviation for the Gamow-Teller resonance: we include experimental data when they are available and, if not, we adopt the value of the nearest neighbor previous (that is, with less mass) that has experimental data. We evaluate the β −-decay rates using a Gaussian energy distribution function with the axial-vector weak coupling constant |g A | = 1, considering updated experimental mass defects and also an improved approximation for the Fermi function. Our sample consists of 94 nuclei with mass in the range 46 < A < 70, all of them decaying by means of allowed transitions, which are of interest in the pre-supernova phase and have experimental data in terrestrial conditions available in the Letter of Nuclides. We compare our result with those obtained within the same GTBD but using values of σ N adjusted in Possidonio (Braz. J. Phys. 48:485, 2018) by minimizing the χ 2-function, and also with systematic microscopic calculations. We have shown that the substitution of the adjusted parameters by experimental data in GTBD improves the results for β −-decay rates by 6.4%.

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Section: Introductionmentioning

confidence: 99%

“…In this context, we remark that the adjustment parameter σ N related to the standard deviation for the Gamow-Teller resonance and used so far in Ref. [1,2], was obtained by minimization of the χ 2 -function. The values obtained in this way correspond to an average value for each N − Z parity.…”

Section: Introductionmentioning

confidence: 99%