Quasiparticle random-phase approximation and<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mi>β</mml:mi></mml:math>-decay physics: Higher-order approximations in a boson formalism

Sambataro, M.; Suhonen, J.

doi:10.1103/physrevc.56.782

Cited by 30 publications

(47 citation statements)

References 35 publications

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“…Aiming at removing possible confusions we stress the fact that the "exact solution" in the present paper has a meaning different from that in all previous publications (see for example Refs. [44,48]). Indeed our exact solutions are eigenstates of the many-body Hamiltonian (1) while all previous publications deal with the exact eigenstates of the quasiparticle Hamiltonian (38), which is a severely truncated image of the initial Hamiltonian (1) through the Bogoliubov-Valatin transformation.…”

Section: Figmentioning

confidence: 97%

Ground State Particle–Particle Correlations and Double-Beta Decay

et al. 2001

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A self-consistent formalism for the double-beta decay of Fermi type is provided. The particleparticle channel of the two-body interaction is considered first in the mean field equations and then in the quasiparticle random phase approximation (QRPA). The resulting approach is called the QRPA with a self-consistent mean field (QRPASMF). The mode provided by QRPASMF does not collapse for any strength of the particle-particle interaction. The transition amplitude for double-beta decay is almost insensitive to the variation of the particle-particle interaction. Comparing it with the result of the standard pnQRPA, it is smaller by a factor of 6. The prediction for transition amplitude agrees quite well with the exact result. The present approach is the only one that produces a strong decrease of the amplitude and at the same time does not alter the stability of the ground state. C 2001 Elsevier Science

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Section: Figmentioning

confidence: 97%

Ground State Particle–Particle Correlations and Double-Beta Decay

et al. 2001

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“…The replacement, also called quasiboson approximation, produces a missing of some terms in the evaluation of the commutators in the equations of motion and thus a violation of Pauli principle. Various attempts have been done to improve over them or by using boson expansion methods, [16][17][18][19][20][21][22][23][24] or remaining entirely in the fermionic space. [25][26][27][28][29][30][31][32][33][34][35][36][37] In Ref.…”

Section: Introductionmentioning

confidence: 99%

Particle-hole excitations within a self-consistent random-phase approximation

Gambacurta

Catara

2008

Phys. Rev. B

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We present a method for the treatment of correlations in finite Fermi systems in a more consistent way than the random phase approximation ͑RPA͒. The main differences with respect to previous approaches are underlined and discussed. In particular, no use of renormalized operators is made. By means of the method of linearization of equations of motion, we derive a set of RPA-like equations depending only on the one-body density matrix. The latter is no more assumed to be diagonal and it is expressed in terms of the X and Y amplitudes of the particle-hole phonon operators. This set of nonlinear equations is solved via an iterative procedure, which allows us to calculate the energies and the wave functions of the excited states. After presenting our approach in its general formulation, we test its quality by using metal clusters as a good test laboratory for a generic many-body system. Comparison to RPA shows significant improvements. We discuss also how the present approach can be further extended beyond the particle-hole configuration space, getting an approximation scheme in which energy weighted sum rules are exactly preserved, thus solving a problem common to all extension of RPA proposed until now. The implementation of such approach will be afforded in a future work.

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“…It allows us to predict more reliable values of the double beta decay matrix elements. The importance of the PEP for solving the problem of the QRPA collapse has been shown clearly within the schematic models, which are trying to simulate the realistic cases either by analytical solutions or by a minimal computational effort [39,40]. In Ref.…”

Section: R-parity Violating Susy Mechanismmentioning

confidence: 99%

Test of physics beyond the standard model in nuclei

Faessler

Šimkovic

2000

Phys. Atom. Nuclei

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The modern theories of Grand Unification (GUT) and supersymmetric (SUSY) extensions of standard model (SM) suppose that the conservation laws of the SM may be violated to some small degree. The nuclei are well-suited as a laboratory to test fundamental symmetries and fundamental interactions like lepton flavor (LF) and lepton number (LN) conservation. A prominent role between experiments looking for LF and total LN violation play yet not observed processes of neutrinoless double beta decay (0νββ-decay). The GUT's and SUSY models offer a variety of mechanisms which allow 0νββ-decay to occur. They are based on mixing of Majorana neutrinos and/or R-parity violation hypothesis. Although the 0νββ-decay has not been seen it is possible to extract from the lower limits of the lifetime upper limits for the effective electron Majorana neutrino mass, effective right handed weak interaction parameters, the effective Majoron coupling constant, R-parity violating SUSY parameters etc.A condition for obtaining reliable limits for these fundamental quantities is that the nuclear matrix elements governing this process can be calculated correctly. The nuclear structure wave functions can be tested by calculating the two neutrino double beta decay (2νββ-decay) for which we have experimental data and not only lower limits as for the 0νββ-decay. For open shell nuclei the method of choice has been the Quasiparticle Random Phase Approximation, which treats Fermion pairs as bosons. It has been found that by extending the QRPA including Fermion commutation relations better agreement with 2νββ-decay experiments is achieved. This increases also the reliability of conclusions from the upper limits on the 0νββ-decay transition probability.In this work the limits on the LN violating parameters extracted from current 0νββ-decay experiments are listed. Studies in respect to future 0νββ-decay experimental projects are also presented.

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Quasiparticle random-phase approximation andβ-decay physics: Higher-order approximations in a boson formalism

Cited by 30 publications

References 35 publications

Ground State Particle–Particle Correlations and Double-Beta Decay

Ground State Particle–Particle Correlations and Double-Beta Decay

Particle-hole excitations within a self-consistent random-phase approximation

Test of physics beyond the standard model in nuclei

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