2015
DOI: 10.1103/physrevc.91.034304
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0νββand2νββnuclear matrix elements in the interacting boson model with isospin restoration

Abstract: We introduce a method for isospin restoration in the calculation of nuclear matrix elements (NME) for 0νββ and 2νββ decay within the framework of IBM-2. With this method, we calculate NME for all processes of interest in 0νβ − β − , 2νβ − β − , and in 0νβ+ EC, and 2νECEC. With this method, the Fermi (F) matrix elements for 2νββ vanish, and those for 0νββ are considerably reduced.

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Cited by 349 publications
(425 citation statements)
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“…[28] where a partial isospin-restoration scheme for the pnQRPA was proposed. This same method was later used by Hyvärinen et al [29] for pnQRPA-based and in Barea et al [30] for IBM-2 based 0νββ-decay calculations.…”
Section: Introductionmentioning
confidence: 99%
“…[28] where a partial isospin-restoration scheme for the pnQRPA was proposed. This same method was later used by Hyvärinen et al [29] for pnQRPA-based and in Barea et al [30] for IBM-2 based 0νββ-decay calculations.…”
Section: Introductionmentioning
confidence: 99%
“…Hence, in this two-stage fit the maximum amount of information on 2νββ decay can be utilized to produce an optimized model Hamiltonian for the description of the 0νββ decay. This two-step fit was later used in [64] for pnQRPAbased 0νββ-decay calculations and, about the same time, in [65] the isospin-restoration scheme was adopted for the IBM-2 ββ framework.…”
Section: Nuclear Model and The Two-stage Fitting Proceduresmentioning
confidence: 99%
“…These matrix elements were calculated using several methods including interacting shell model (ISM) [6-8, 10-12, 17] (see Ref. [7] for a review), quasiparticle random phase approximation (QRPA) [5,50], and interacting boson model (IBM) [51]. In general, the ISM results for M 0ν are quite close one to another, but smaller than the QRPA and IBM results; the ISM and IBM results for M 0N are close, while they are both smaller than the QRPA results.…”
Section: νββ Decay Formalismmentioning
confidence: 99%