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$0\nu\beta\beta$ and $2\nu\beta\beta$ nuclear matrix elements in the interacting boson model with isospin restoration

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arxiv 1506.08530 v1 pith:B5GSIPML submitted 2015-06-29 nucl-th

classification nucl-th
keywords betaelementsmatrixmethodbosonececinteractingisospin
verification ladder T0 review T1 audit T2 compute T3 formal
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abstract

We introduce a method for isospin restoration in the calculation of nuclear matrix elements (NME) for $0\nu\beta\beta$ and $2\nu\beta\beta$ decay within the framework of interacting boson model (IBM-2). With this method, we calculate NME for all processes of interest in $0\nu\beta^-\beta^-$, $2\nu\beta^-\beta^-$, and in $0\nu\beta^+\beta^+$, $0\nu\beta^+ EC^+$, $R0\nu ECEC$, $2\nu\beta^+\beta^+$, $2\nu\beta^+EC$, and $2\nu ECEC$. With this method, the Fermi (F) matrix elements for $2\nu\beta\beta$ vanish, and those for $0\nu\beta\beta$ are considerably reduced.

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Cited by 4 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

  1. $2\nu\beta\beta$ Spectrum in Chiral Effective Field Theory

    hep-ph 2024-12 conditional novelty 6.0 of 10

    Chiral EFT corrections to the 2νββ electron spectrum from weak magnetism and pion exchange appear at next-to-leading order and must be included in searches for new physics.

  2. Positron-Emitting and Electron-Capturing Double-Beta Processes in the Standard Model and Beyond

    hep-ph 2026-06 unverdicted novelty 5.0 of 10

    Nuclear matrix elements and phase-space factors are computed for 2ν and 0ν positron-emitting double-beta modes in three isotopes, yielding sensitivity to SMEFT lepton-number-violating operators at 1-100 TeV and showin...

  3. Search for Double Beta Decay of $^{136}$Xe to the $0^+_1$ Excited State of $^{136}$Ba with PandaX-4T

    nucl-ex 2025-02 conditional novelty 5.0 of 10

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  4. CUPID pre-CDR

    physics.ins-det 2019-07 unverdicted novelty 4.0 of 10

    CUPID proposes a large bolometric detector array with alpha/beta discrimination to achieve a background-free search for 0νββ decay in 100Mo and probe the inverted neutrino mass hierarchy.

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