Relation between the<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mrow><mml:mn>0</mml:mn><mml:mi>ν</mml:mi><mml:mi>β</mml:mi><mml:mi>β</mml:mi></mml:mrow></mml:math>and<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mrow><mml:mn>2</mml:mn><mml:mi>ν</mml:mi><mml:mi>β</mml:mi><mml:mi>β</mml:mi></mml:mrow></mml:math>nuclear matrix elements reexamined

Šimkovic, F.; Hodák, R.; Faessler, Amand; Vogel, P.

doi:10.1103/physrevc.83.015502

Cited by 62 publications

(83 citation statements)

References 32 publications

(40 reference statements)

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“…[11,13,24,25,[49][50][51]. Because it is not our prior task in this paper to estimate these uncertainties, we just clarify here a few things about our calculations.…”

Section: Introductionmentioning

confidence: 98%

Relativistic description of nuclear matrix elements in neutrinoless double-βdecay

et al. 2014

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Background: Neutrinoless double-β (0νββ) decay is related to many fundamental concepts in nuclear and particle physics beyond the standard model. Currently there are many experiments searching for this weak process. An accurate knowledge of the nuclear matrix element for the 0νββ decay is essential for determining the effective neutrino mass once this process is eventually measured.Purpose: We report the first full relativistic description of the 0νββ decay matrix element based on a state-ofthe-art nuclear structure model. Methods:We adopt the full relativistic transition operators which are derived with the charge-changing nucleonic currents composed of the vector coupling, axial-vector coupling, pseudoscalar coupling, and weak-magnetism coupling terms. The wave functions for the initial and final nuclei are determined by the multireference covariant density functional theory (MR-CDFT) based on the point-coupling functional PC-PK1. Correlations beyond the mean field are introduced by configuration mixing of both angular momentum and particle number projected quadrupole deformed mean-field wave functions. Results:The low-energy spectra and electric quadrupole transitions in 150 Nd and its daughter nucleus 150 Sm are well reproduced by the MR-CDFT calculations. The 0νββ decay matrix elements for both the 0

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“…[11,13,24,25,[49][50][51]. Because it is not our prior task in this paper to estimate these uncertainties, we just clarify here a few things about our calculations.…”

Section: Introductionmentioning

confidence: 98%

Relativistic description of nuclear matrix elements in neutrinoless double-βdecay

et al. 2014

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“…However, it has been known for some time (see e.g. [10], [11] and references therein) that these energies are small compared to the neutrino exchange energy, and therefore the widely used closure approximation replaces these energies by a constant value and sums-out the contribution of the intermediate states. We will start with the case for the 0νββ decay of 76 Ge that is shown in Fig.…”

mentioning

confidence: 99%

“…[10], [11] and references therein) that these energies are small compared to the neutrino exchange energy, and therefore the widely used closure approximation replaces these energies by a constant value and sums-out the contribution of the intermediate states. It was shown [10], [12], [11] that this approximation provides matrix elements about 10% smaller, but we recently found [10], [12] optimal closure energies for which the nuclear matrix elements in both approaches are the same (see e.g. Fig.…”

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confidence: 99%

Nuclear Structure Aspects of Neutrinoless Double-βDecay

2014

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We decompose the neutrinoless double-beta decay matrix elements into sums of products over the intermediate nucleus with two less nucleons. We find that the sum is dominated by the J π = 0 + ground state of this intermediate nucleus for both the light and heavy neutrino decay processes. This provides a new theoretical tool for comparing and improving nuclear structure models. It also provides the connection to two-nucleon transfer experiments.PACS numbers: 23.40. Bw, 21.60.Cs, 23.40.Hc, 14.60.Pq Neutrinoless double beta decay 0νββ is one of the most important current topics in physics that provides unique information on the neutrino properties [1], [2], [3]. The 0νββ decay process and the associated nuclear matrix elements (NME) were investigated by using several approaches including the quasiparticle random phase approximation (QRPA) [1], the interacting shell model [4], [5], the interacting boson model [6], [7], the generator coordinate method [8], and the projected Hartree-Fock Bogoliubov model [9]. It is critical to assess which nuclei are the best candidates for experimental study.Since the experimental decay rate is proportional to the square of the calculated nuclear matrix elements, it is important to calculate these matrix elements with high accuracy to be able to extract the neutrino effective mass which can be used to determine the absolute scale of neutrino masses. However, the theoretical methods used give results that differ from one another by factors of up to 2-3. It is important to understand the nuclear structure aspects of these matrix elements and why the models give differing results. In this Letter we present a new theoretical tool for understanding 0νββ matrix elements by expanding them in terms of a summation over states in the nucleus with two less nucleons (A − 2). We show that the matrix elements are dominated by the contribution through the ground state of the (A − 2) intermediate nucleus. We also show that the lightneutrino matrix elements are dominated by the GamowTeller type operator that is proportional to a schematic interaction of the form σ 1 · σ 2 /r. This opens up new ways of comparing theoretical models and improving the accuracy of the NME for 0νββ decay.The 0νββ process can be naturally described in 2 nd order perturbation theory, in which the energies of the virtual states of the intermediate nucleus obtained by a single beta decay of the parent nucleus enter into the propagator. However, it has been known for some time (see e.g. [10], [11] and references therein) that these energies are small compared to the neutrino exchange energy, and therefore the widely used closure approximation replaces these energies by a constant value and sums-out the contribution of the intermediate states. We will start with the case for the 0νββ decay of 76 Ge that is shown in Fig. 1. Previously, the structure dependence has been analyzed in terms of the "chargeexchange" to intermediate states in 76 As. In contrast, we will show the results for expanding in terms of the intermediate stat...

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“…This definition of M ′ 0ν allows to display the effects of the uncertainties in g ef f A and to use the same phase factor G 0ν when calculating the 0νββ-decay rate. The treatment of quenching g ef f A is an important source of difference between the calculated 0νββ-decay NMEs [35,38]. Quenching of the axial-vector coupling was introduced to account for the fact that the calculated strengths of the GamowTeller β-decay transitions to individual final states are significantly larger than the experimental ones.…”

Section: Effective Majorana Mass and The 0νββ-decaymentioning

confidence: 99%

“…Complementary experimental information from related processes like the 2νββ-decay [46], charge-exchange [49] and particle transfer reactions [50] is also very important. The differences between the results of various nuclear structure approaches could be understood by performing an anatomy of the 0νββ-decay NME [35,38,51] . The recent development in the field is very encouraging.…”

Section: Effective Majorana Mass and The 0νββ-decaymentioning

confidence: 99%

Possibility of measuring theCPMajorana phases in0νββdecay

et al. 2013

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In view of recent measurements of the mixing angle θ13 we investigate the possibility to determine the difference of two CP Majorana phases of the neutrino mixing matrix from the study of neutrinoless double-beta decay. We show that if cosmological measurements will reach the sensitivity of 0.1 eV for the sum of neutrino masses, i.e. the mass value of the lightest neutrino will be strongly constrained, the long-baseline neutrino oscillation experiments will determine inverted hierarchy of neutrino masses and if neutrinoless double-beta decay will be observed, this determination might be possible. The required experimental accuracies and the uncertainties in the calculated nuclear matrix elements of the process are discussed in this context.

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Relation between the0νββand2νββnuclear matrix elements reexamined

Cited by 62 publications

References 32 publications

Relativistic description of nuclear matrix elements in neutrinoless double-βdecay

Relativistic description of nuclear matrix elements in neutrinoless double-βdecay

Nuclear Structure Aspects of Neutrinoless Double-βDecay

Possibility of measuring theCPMajorana phases in0νββdecay

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