Can one measure nuclear matrix elements of neutrinoless double beta decay?

Abstract

By making use of the isospin conservation by strong interaction, the Fermi $0\nu \beta \beta$ nuclear matrix element $M_F^{0\nu }$ is transformed to acquire the form of an energy-weighted double Fermi transition matrix element. This useful representation allows reconstruction of the total $M_F^{0\nu }$ provided a small isospin-breaking Fermi matrix element between the isobaric analog state in the intermediate nucleus and the ground state of the daughter nucleus could be measured, e.g. by charge-exchange reactions. Such a measurement could set a scale for the $0\nu \beta \beta$ nuclear matrix elements and help much to discriminate between different nuclear structure models in which calculated $M_F^{0\nu }$ may differ by as much as the factor of 5.

4 pages, to be published in Physical Review C

References in corpus (24)

• Double Beta Decay, Majorana Neutrinos, and Neutrino Mass
• Three-flavour neutrino oscillation update
• Double Beta Decay
• Disassembling the Nuclear Matrix Elements of the Neutrinoless double beta Decay
• Global analysis of three-flavor neutrino masses and mixings
• Anatomy of nuclear matrix elements for neutrinoless double-beta decay
• The influence of pairing on the nuclear matrix elements of the neutrinoless double beta decays
• Double Beta Decay
• Erratum: Assessment of uncertainties in QRPA $0\nu \beta \beta$-decay nuclear matrix elements [Nucl. Phys. A 766, 107 (2006)]
• The 0nbb-decay nuclear matrix elements with self-consistent short-range correlations
• Double Beta Decay
• Neutrinoless double beta decay from a modern perspective
• On the uncertainty in the $0\nu \beta \beta$ decay nuclear matrix elements
• Shell Model Study of the Double Beta Decays of ${}^{76}$Ge, ${}^{82}$Se and ${}^{136}$Xe
• Improved short-range correlations and 0nbb nuclear matrix elements of 76Ge and 82Se
• Nuclear matrix elements of neutrinoless double beta decay with improved short-range correlations
• Absolute Values of Neutrino Masses: Status and Prospects
• Short-range correlations and neutrinoless double beta decay
• Neutrino Masses and Oscillations: Triumphs and Challenges
• Nuclear Structure Aspects of the Neutrinoless Double Beta Decay
• Effects of orbital occupancies on the neutrinoless beta-beta matrix element of 76Ge
• Sensitive behavior of $2\nu \beta \beta$-decay amplitude within QRPA and broken SU(4) symmetry in nuclei
• Description of double beta decay within continuum-QRPA
• Neutrino Physics (theory)

Cited by in corpus (4)

• Theory of neutrinoless double beta decay
• Neutrino-less Double Beta Decay and Particle Physics
• Recent Progress in Double Beta Decay
• On the possibility to measure nuclear matrix elements of neutrinoless double beta decay in charge-exchange reactions