Realistic shell-model calculations of the 2νββ nuclear matrix elements and the role of the shell structure in intermediate states

Nakada, H.; Sebe, T.; Muto, K.

doi:10.1016/0375-9474(96)00227-8

Cited by 26 publications

(24 citation statements)

References 26 publications

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“…Some recent shell model calculations are found in theoretical works. [50][51][52][53] The light nucleus of 48 Ca is interesting from the viewpoint of shell model calculations. 1,50) Shell model calculations with a large model space and a Monte-Carlo method have been carried out for processes.…”

Section: Nuclear Models For Matrix Elementsmentioning

confidence: 99%

Double Beta Decays and Neutrino Masses

2005

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Neutrino-less double beta decays (0), which violate the lepton number conservation law by ÁL ¼ 2, are of great interest for studying the fundamental properties of neutrinos beyond the standard electroweak theory. High-sensitivity 0 studies with mass sensitivities of the solar and atmosphericmasses are crucial for studying the Majorana nature of 's, the mass spectrum, the absolute -mass scale, the Majorana CP phases and other fundamental properties of neutrinos and weak interactions. Actually, high-sensitivity experiments of 0 are the unique and practical method for studying all these fundamental properties of neutrinos in the foreseeable future. On the basis of the recent oscillation studies, the effective mass sensitivity required for observing the 0 rate is of the order of the atmospheric mass scale of m A $ 50 meV in the case of the inverted mass hierarchy and of the order of the solar mass scale of m S $ 8 meV in the case of the normal hierarchy. The present detectors with sensitivities of 150 -300 meV are effective in the case of the quasi-degenerate mass spectrum. Future detectors with higher sensitivities of the orders of m A -m S , using different nuclei and methods (calorimetric, spectroscopic), are indispensable for establishing 0. Theoretical and experimental studies for evaluating nuclear matrix elements M 0 within 20 -30% are important for extracting the sensible mass from the 0 rate. Charge exchange reactions by means of nuclear, electron and probes provide useful data for M 0 . International collaboration for experimental and theoretical works are encouraged to perform next-generation experiments. High-sensitivity detectors can be used for studying rare nuclear processes such as solar 's, dark matter, charge nonconservation, and nucleon decays. This report is a brief review of double beta decays and neutrinos with emphasis on highsensitivity 0 studies for the Majorana mass.

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Section: Nuclear Models For Matrix Elementsmentioning

confidence: 99%

Double Beta Decays and Neutrino Masses

2005

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“…The 2νββ running sums calculated for 48 Ca within the nuclear shell model [9][10][11][12] consistently show a substantial overshoot of the total M 2ν GT at excitation energies of about 7 MeV, which then is compensated by a negative contribution coming from the region of the giant GT resonance (GTR). The total M 2ν GT = 0.054 MeV −1 calculated in Ref.…”

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confidence: 91%

Running sums for2νββ-decay matrix elements within the quasiparticle random-phase approximation with account for deformation

et al. 2010

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The 2νββ-decay running sums for 76 Ge and 150 Nd nuclei are calculated within a QRPA approach with account for deformation. A realistic nucleon-nucleon residual interaction based on the Brueckner G matrix (for the Bonn CD force) is used. The influence of different model parameters on the functional behavior of the running sums is studied. It is found that the parameter g pp renormalizing the G matrix in the QRPA particle-particle channel is responsible for a qualitative change in behavior of the running sums at higher excitation energies. For realistic values of g pp a significant negative contribution to the total 2νββ-decay matrix element is found to come from the energy region of the giant Gamow-Teller resonance. This behavior agrees with results of other authors.

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“…As for approaches other than the pn-QRPA, these can be found in, e.g., Refs. [47][48][49][50][51] (the shell model), [52] (the projected HFB), [53] (the microscopic interacting boson model), and [54] (the energy-density functional-plus-generator-coordinate method).…”

Section: Introductionmentioning

confidence: 99%

Overlap of quasiparticle random-phase approximation states based on ground states of different nuclei: Mathematical properties and test calculations

Terasaki

2013

Phys. Rev. C

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The overlap of the excited states in quasiparticle random-phase approximation (QRPA) is calculated to simulate the overlap of the intermediate nuclear states of the double-β decay. Our basic idea is to use the like-particle QRPA with the aid of the closure approximation and calculate the overlap as rigorously as possible by making use of the explicit equation of the QRPA ground state. The formulation is shown in detail, and the mathematical properties of the overlap matrix are investigated. Two test calculations are performed for relatively light nuclei with the Skyrme and volume δ-pairing energy functionals. The validity of the truncations used in the calculation is examined and confirmed.

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Realistic shell-model calculations of the 2νββ nuclear matrix elements and the role of the shell structure in intermediate states

Cited by 26 publications

References 26 publications

Double Beta Decays and Neutrino Masses

Double Beta Decays and Neutrino Masses

Running sums for2νββ-decay matrix elements within the quasiparticle random-phase approximation with account for deformation

Overlap of quasiparticle random-phase approximation states based on ground states of different nuclei: Mathematical properties and test calculations

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