Gamow-Teller and double-
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 decays of heavy nuclei within an effective theory

Pérez, E. A. Coello; Menéndez, J. Fernández; Schwenk, A.

doi:10.1103/physrevc.98.045501

Cited by 12 publications

(2 citation statements)

References 103 publications

(139 reference statements)

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“…The single (or low-lying) state dominance is also invoked in Refs. [16,17] where also a good agreement with the experimental M 2ν matrix element was reached. However, according to our evaluation, some more positive contributions to the M 2ν in such a case are missed, as well as negative contributions from the higher lying 1 + states.…”

Section: νββ Matrix Elements In Closure Approximationsupporting

confidence: 74%

0νββ and 2νββ nuclear matrix elements evaluated in closure approximation, neutrino potentials and SU(4) symmetry

2018

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Intimate relation between the Gamow-Teller part of the matrix element M 0ν GT and the 2νββ closure matrix element M 2ν cl is explained and explored. If the corresponding radial dependence C 2ν cl (r) would be known, M 0ν corresponding to any mechanism responsible for the 0νββ decay can be obtained as a simple integral. However, the M 2ν cl values sensitively depend on the properties of higher lying 1 + states in the intermediate odd-odd nuclei. We show that the β − and β + amplitudes of such states typically have opposite relative signs, and their contributions reduce severally the M 2ν cl values. Vanishing values of M 2ν cl are signs of a partial restoration of the spin-isospin SU(4) symmetry. We suggest that demanding that M 2ν cl = 0 is a sensible way, within the method of the Quasi-particle Random Phase Approximation (QRPA), of determining the amount of renormalization of isoscalar particle-particle interaction strength g T =0 pp . Using such prescription, the matrix elements M 0ν are evaluated; their values are not very different (≤ 20%) from the usual QRPA values when g T =0 pp is related to the known 2νββ half-lives.

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Section: νββ Matrix Elements In Closure Approximationsupporting

confidence: 74%

0νββ and 2νββ nuclear matrix elements evaluated in closure approximation, neutrino potentials and SU(4) symmetry

2018

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“…The pairing-vibrational aspects of the 2νββ decays of 128,130 Te were studied within the framework of a hybrid model in [547]. In [548] an effective theory to describe β and ββ decays was proposed. In this theory one can estimate the uncertainties based on power counting of the included degrees of freedom.…”

Section: Basic Features Of the 2νββ Decaysmentioning

confidence: 99%

Neutrino–nuclear responses for astro-neutrinos, single beta decays and double beta decays

2019

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Neutrino-nuclear responses associated with astro-neutrinos, single beta decays and double beta decays are crucial in studies of neutrino properties of interest for astro-particle physics. The present report reviews briefly recent studies of the neutrino-nuclear responses from both experimental and theoretical points of view in order to obtain a consistent understanding of the many facets of the neutrino-nuclear responses. Subjects discussed in this review include (i) experimental studies of neutrino-nuclear responses by means of single beta decays, charge-exchange nuclear reactions, muon-photon-and neutrino-nuclear reactions, and nucleon-transfer reactions, (ii) implications of and discussions on neutrino-nuclear responses for single beta decays, for astroneutrinos, and for astro-neutrino nucleosynthesis, (iii) theoretical aspects of neutrino-nuclear responses for beta and double beta decays, for nuclear muon capture and for neutrino-nucleus scattering, and (iv) critical discussions on nucleonic and non-nucleonic spin-isospin correlations and renormalization (quenching or enhancement) effects on the axial weak coupling. Remarks are given on perspectives of experimental and theoretical studies of the neutrino-nuclear responses and on future experiments of double beta decays.

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The search for neutrinoless double-beta decay

Gómez-Cadenas,

Martín-Albo,

Menéndez

et al. 2024

Riv. Nuovo Cim.

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Neutrinos are the only particles in the Standard Model that could be Majorana fermions, that is, completely neutral fermions that are their own antiparticles. The most sensitive known experimental method to verify whether neutrinos are Majorana particles is the search for neutrinoless double-beta decay. The last 2 decades have witnessed the development of a vigorous program of neutrinoless double-beta decay experiments, spanning several isotopes and developing different strategies to handle the backgrounds masking a possible signal. In addition, remarkable progress has been made in the understanding of the nuclear matrix elements of neutrinoless double-beta decay, thus reducing a substantial part of the theoretical uncertainties affecting the particle–physics interpretation of the process. On the other hand, the negative results by several experiments, combined with the hints that the neutrino mass ordering could be normal, may imply very long lifetimes for the neutrinoless double-beta decay process. In this report, we review the main aspects of such process, the recent progress on theoretical ideas and the experimental state of the art. We then consider the experimental challenges to be addressed to increase the sensitivity to detect the process in the likely case that lifetimes are much longer than currently explored, and discuss a selection of the most promising experimental efforts.

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Gamow-Teller and double- β decays of heavy nuclei within an effective theory

Cited by 12 publications

References 103 publications

0νββ and 2νββ nuclear matrix elements evaluated in closure approximation, neutrino potentials and SU(4) symmetry

0νββ and 2νββ nuclear matrix elements evaluated in closure approximation, neutrino potentials and SU(4) symmetry

Neutrino–nuclear responses for astro-neutrinos, single beta decays and double beta decays

The search for neutrinoless double-beta decay

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