Nuclear Structure Relevant to Neutrinoless Double<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mi>β</mml:mi></mml:math>Decay:<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mmultiscripts><mml:mi>Ge</mml:mi><mml:mprescripts/><mml:none/><mml:mn>76</mml:mn></mml:mmultiscripts></mml:math>and<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mmultiscripts><mml:mi>Se</mml:mi><mml:mprescripts/><mml:none/><mml:mn>76</mml:mn

Schiffer, J. P.; Freeman, S. J.; Clark, J. A.; Deibel, C. M.; Fitzpatrick, C.; Gros, S.; Heinz, A.; Hirata, D.; Jiang, C. L.; Kay, B. P.; Parikh, A.; Parker, P. D.; Rehm, K.E.; Villari, A.C.C.; Werner, V.; Wrede, C.

doi:10.1103/physrevlett.100.112501

Cited by 140 publications

(79 citation statements)

References 15 publications

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“…[1], [2], [3], [4]. High precision experimental information from single charge exchange (CE), transfer reactions and electron capture are used to constraint the calculations [5], [6], [7], [8], [9]. However, the ambiguities in the models are still too large and the constraints too loose to reach accurate values of the NMEs.…”

Section: Introductionmentioning

confidence: 99%

Heavy-ion double charge exchange reactions: A tool toward $0 \nu\beta\beta$ nuclear matrix elements

et al. 2015

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The knowledge of the nuclear matrix elements for the neutrinoless double beta decay is fundamental for neutrino physics. In this paper, an innovative technique to extract information on the nuclear matrix elements by measuring the cross section of a double charge exchange nuclear reaction is proposed. The basic point is that the initial and final state wave functions in the two processes are the same and the transition operators are similar. The double charge exchange cross sections can be factorized in a nuclear structure term containing the matrix elements and a nuclear reaction factor. First pioneering experimental results for the 40 Ca( 18 O, 18 Ne) 40 Ar reaction at 270 MeV incident energy show that such cross section factorization reasonably holds for the crucial 0 +  0 + transition to 40 Ar gs , at least at very forward angles.

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Section: Introductionmentioning

confidence: 99%

Heavy-ion double charge exchange reactions: A tool toward $0 \nu\beta\beta$ nuclear matrix elements

et al. 2015

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“…In particular, the occupation probabilities of the valence shells 1p 3/2 , 1p 1/2 , 0f 5/2 , and 0g 9/2 for neutrons in 76 Ge and for protons in 76 Se have been measured in Refs. [39] and [40], respectively. The implications of these measurements on the double-β decay NMEs have been studied in Refs.…”

Section: Introductionmentioning

confidence: 99%

Nuclear Structure Calculations for Two-Neutrino Double-βDecay

Sarriguren

Moreno

Guerra

2016

Advances in High Energy Physics

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We study the two-neutrino double-β decay in 76 Ge, 116 Cd, 128 Te, 130 Te, and 150 Nd, as well as the two Gamow-Teller branches that connect the double-β decay partners with the states in the intermediate nuclei. We use a theoretical microscopic approach based on a deformed selfconsistent mean field with Skyrme interactions including pairing and spin-isospin residual forces, which are treated in a proton-neutron quasiparticle random-phase approximation. We compare our results for Gamow-Teller strength distributions with experimental information obtained from charge-exchange reactions. We also compare our results for the two-neutrino double-β decay nuclear matrix elements with those extracted from the measured half-lives. Both single-state and low-lying-state dominance hypotheses are analyzed theoretically and experimentally making use of recent data from chargeexchange reactions and β decay of the intermediate nuclei.

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“…In this regard, wavefunctions of leading 0νββ candidates have been probed in a campaign of experiments utilizing transfer reactions to determine nucleon occupancies in a consistent way [4,5]. These studies have provided critical information for comparison with theory, especially on contributions to the wavefunctions from competing single-particle orbitals.…”

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confidence: 99%

Evidence for Rigid Triaxial Deformation in Ge76 from a Model-Independent Analysis

et al. 2019

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An extensive, model-independent analysis of the nature of triaxial deformation in 76 Ge, a candidate for neutrinoless double-beta (0νββ) decay, was carried out following multi-step Coulomb excitation. Shape parameters deduced on the basis of a rotational-invariant sum-rule analysis provided considerable insight into the underlying collectivity of the ground-state and γ bands. Both sequences were determined to be characterized by the same β and γ deformation parameter values. In addition, compelling evidence for low-spin, rigid triaxial deformation in 76 Ge was obtained for the first time from the analysis of the statistical fluctuations of the quadrupole asymmetry deduced from the measured E2 matrix elements. These newly determined shape parameters are important input and constraints for calculations aimed at providing, with suitable accuracy, the nuclear matrix elements relevant to 0νββ.

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Nuclear Structure Relevant to Neutrinoless DoubleβDecay:Ge76andSe76

Cited by 140 publications

References 15 publications

Heavy-ion double charge exchange reactions: A tool toward $0 \nu\beta\beta$ nuclear matrix elements

Heavy-ion double charge exchange reactions: A tool toward $0 \nu\beta\beta$ nuclear matrix elements

Nuclear Structure Calculations for Two-Neutrino Double-βDecay

Evidence for Rigid Triaxial Deformation in Ge76 from a Model-Independent Analysis

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