2017
DOI: 10.1103/physrevc.95.064324
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Calculation of Gamow-Teller and two-neutrino double- β decay properties for Te130 and Xe136

Abstract: We report on the calculation of Gamow-Teller and double-β decay properties for nuclei around 132 Sn within the framework of the realistic shell model. The effective shell-model Hamiltonian and Gamow-Teller transition operator are derived by way of many-body perturbation theory, without resorting to empirical effective quenching factor for the Gamow-Teller operator. The results are then compared with the available experimental data, in order to establish the reliability of our approach. This is a mandatory step… Show more

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Cited by 43 publications
(60 citation statements)
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“…Note that the dimensionless transition matrix elements f |J µ |n n|J µ |i also control the 2νββ decay amplitude, through a different E n -dependent weighted sum [19]. The overlap matrix elements quickly die out for E n − E i > 10 MeV, as borne out in several explicit calculations using different many-body methods [64][65][66]. Therefore, recalling the scaling E n − E i ∼ k 2 F /m N we recover T usoft /T 0 ∼ 2 χ .…”
Section: The 0νββ Amplitudementioning
confidence: 99%
“…Note that the dimensionless transition matrix elements f |J µ |n n|J µ |i also control the 2νββ decay amplitude, through a different E n -dependent weighted sum [19]. The overlap matrix elements quickly die out for E n − E i > 10 MeV, as borne out in several explicit calculations using different many-body methods [64][65][66]. Therefore, recalling the scaling E n − E i ∼ k 2 F /m N we recover T usoft /T 0 ∼ 2 χ .…”
Section: The 0νββ Amplitudementioning
confidence: 99%
“…Another calculation was conducted in the framework of the realistic shell model (referred to as realistic SM) [88]. Single-particle energies and the two-body effective interaction are determined via the V low-k approach from the CD-Bonn free nucleon-nucleon potential [85] with a cutoff momentum of = 2.6 fm −1 .…”
Section: B Shell-model Calculationsmentioning
confidence: 99%
“…As mentioned in the Introduction, we discuss here two cases, whose results have been partially reported in previous papers [10][11][12]. Our aim is to show the reliability of our approach as well as to illustrate some inconsistencies whose solution would require further investigations also from the experimental point of view.…”
Section: Resultsmentioning
confidence: 58%
“…In the present work, we report a few examples of our realistic shell-model calculations, which have partially discussed in previous papers [10][11][12]. In particular, we shall focus on very neutron-rich even-even tin isotopes with N > 82, from A = 134 to 140.…”
Section: Introductionmentioning
confidence: 97%