Double Gamow-Teller transitions and its relation to neutrinoless $\beta \beta$ decay

Abstract

We study the double Gamow-Teller (DGT) strength distribution of ${}^{48}$Ca with state-of-the-art large-scale nuclear shell model calculations. Our analysis shows that the centroid energy of the DGT giant resonance depends mostly on the isovector pairing interaction, while the resonance width is more sensitive to isoscalar pairing. Pairing correlations are also key in neutrinoless $\beta \beta$ ($0\nu \beta \beta$) decay. We find a simple relation between the centroid energy and width of the ${}^{48}$Ca DGT giant resonance and %the value of the $0\nu \beta \beta$ decay nuclear matrix element. More generally, we observe a very good linear correlation between the DGT transition to the ground state of the final nucleus and the $0\nu \beta \beta$ decay matrix element. The correlation, which originates on the dominant short-range character of both transitions, extends to heavier systems including several $\beta \beta$ emitters, and also holds in energy-density functional results. Our findings suggest that DGT experiments can be a very valuable tool to obtain information on the value of $0\nu \beta \beta$ decay nuclear matrix elements.

6 pages, 5 figures, published version

References in corpus (18)

• Double Beta Decay, Majorana Neutrinos, and Neutrino Mass
• Status and Future of Nuclear Matrix Elements for Neutrinoless Double-Beta Decay: A Review
• Disassembling the Nuclear Matrix Elements of the Neutrinoless double beta Decay
• Anatomy of nuclear matrix elements for neutrinoless double-beta decay
• $0\nu \beta \beta$ and $2\nu \beta \beta$ nuclear matrix elements in the interacting boson model with isospin restoration
• The influence of pairing on the nuclear matrix elements of the neutrinoless double beta decays
• $0\nu \beta \beta$ and $2\nu \beta \beta$ nuclear matrix elements, QRPA, and isospin symmetry restoration
• Erratum: Assessment of uncertainties in QRPA $0\nu \beta \beta$-decay nuclear matrix elements [Nucl. Phys. A 766, 107 (2006)]
• Average and recommended half-life values for two neutrino double beta decay
• Shell model studies of the ${}^{130}Te$ neutrinoless double-beta decay
• Nuclear matrix element of neutrinoless double-$\beta$ decay: Relativity and short-range correlations
• A monopole-optimized effective interaction for tin isotopes
• Operator Evolution via the Similarity Renormalization Group I: The Deuteron
• Proton-Neutron Pairing Amplitude as a Generator Coordinate for Double-Beta Decay
• Nuclear Structure Aspects of Neutrinoless Double Beta Decay
• Rearrangement of valence neutrons in the neutrinoless double-$\beta$ decay of ${}^{136}$Xe
• Sum rule study for Double Gamow-Teller states
• Double charge exchange (${}^{11}$B,${}^{11}$Li) reaction for double beta decay response

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