Total Gamow-Teller strength, ground-state correlations and sum rules in QRPA with neutron-proton pairing

Cheoun, Myung-Ki; Faessler, Amand; Šimkovic, F.; Teneva, G.; Bobyk, A.

doi:10.1016/0375-9474(95)00016-t

Cited by 54 publications

(23 citation statements)

References 41 publications

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“…We describe the smearing of the Fermi surface by the Hartree-Fock-Bogoliubov (HFB) method, which includes proton-proton, neutron-neutron and proton-neutron pairing [17,18,33]. Particle (c + τ ama and c τ ama , τ = p, n) and quasiparticle (a + µama and a µama , µ = 1, 2) creation and annihilation operators for spherical shell-model states labeled by (a m a ) are related to each other by the Bogoliubov transformation:…”

Section: Formalismmentioning

confidence: 99%

The Pauli principle, QRPA and the two-neutrino double beta decay

1996

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We examine the violation of the Pauli exclusion principle in the Quasiparticle Random Phase Approximation (QRPA) calculation of the two-neutrino double beta decay matrix elements, which has its origin in the quasi-boson approximation. For that purpose we propose a new renormalized QRPA with proton-neutron pairing method (full-RQRPA) for nuclear structure studies, which includes ground state correlation beyond the QRPA. This is achieved by using of renormalized quasi-boson approximation, in which the Pauli exclusion principle is taken into account more carefully. The full-RQRPA has been applied to two-neutrino double beta decay of $^{76}Ge$, $^{82}Se$, $^{128}Te$ and $^{130}Te$. The nuclear matrix elements have been found significantly less sensitive to the increasing strength of particle-particle interaction in the physically interesting region in comparison with QRPA results. The strong differences between the results of both methods indicate that the Pauli exclusion principle plays an important role in the evaluation of the double beta decay. The inclusion of the Pauli principle removes the difficulties with the strong dependence on the particle-particle strength $g_{pp}$ in the QRPA on the two-neutrino double beta decay.Comment: Accepted for publication in Nucl. Phys. A, 22 pages, including 5 figures, LaTeX (using REVTeX and epsfig-style

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Section: Formalismmentioning

confidence: 99%

The Pauli principle, QRPA and the two-neutrino double beta decay

1996

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“…Most studies of GT excitations have been based on Skyrme interactions [16][17][18][19][20]. It has also been shown that the inclusion of particle-particle correlations in the QRPA residual interaction has an important effect in the calculation of ␤-decay rates [21][22][23][24][25][26].…”

Section: Introductionmentioning

confidence: 99%

Quasiparticle random phase approximation based on the relativistic Hartree-Bogoliubov model. II. Nuclear spin and isospin excitations

et al. 2004

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The proton-neutron relativistic quasiparticle random-phase approximation (PN-RQRPA) is formulated in the canonical single-nucleon basis of the relativistic Hartree-Bogoliubov model, for an effective Lagrangian characterized by density-dependent meson-nucleon couplings. The model includes both the T = 1 and T = 0 pairing channels. Pair configurations formed from the fully or partially occupied states of positive energy in the Fermi sea, and the empty negative-energy states from the Dirac sea, are included in PN-RQRPA configuration space. The model is applied to the analysis of charge-exchange modes: isobaric analog resonances and Gamow-Teller resonances.

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“…Based on the realistic G-matrix obtained by solving the Bethe-Goldstone equation with the Bonn potential, Suhonen et al [12,13] calculated the Gamow-Teller transition strength for several spherical nuclei. The group of Cheoun, Faessler et al [14,15] carried out the extended QRPA calculations with neutron-proton correlations for double-β decays of light nuclei, which constitute an essential issue in nuclear and neutrino physics [17][18][19]. All these calculations were performed in the spherical approximation.…”

Section: Introductionmentioning

confidence: 99%

“…Some QRPA models with different ingredients have been developed including calculations with schematic separable GamowTeller forces [1][2][3][4][5][6], Skyrme-Hartree-Fock models with consistent residual interactions [7], Hartree-Fock-Bogoliubov (HFB) models with finite-range Gogny interactions [8], calculations with zerorange forces [9,10], and calculations with realistic nucleon-nucleon interactions [11][12][13][14][15][16]. The QRPA calculations with realistic interactions have been performed for decades.…”

Section: Introductionmentioning

confidence: 99%

β+/EC decay rates of deformed neutron-deficient nuclei in the deformed QRPA with realistic interactions

Ren

2015

Physics Letters B

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The weak-decay (β + and EC) rates of neutron-deficient Kr, Sr, Zr, and Mo isotopes are investigated within the deformed quasiparticle random-phase approximation with realistic nucleon-nucleon interactions. The particle-particle and particle-hole channels of residual interactions are handled in large single-particle model spaces, based on the Brückner G-matrix with charge-dependent Bonn nucleon-nucleon forces. Contributions from allowed Gamow-Teller and Fermi transitions as well as first-forbidden transitions are calculated. The calculated half-lives show good agreement with the experimental data over a wide range of magnitude, from 10 −2 to 10 7 s. Moreover, predictions of β-decay half-lives are made for some extremely proton-rich isotopes, which could be useful for future experiments.

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Total Gamow-Teller strength, ground-state correlations and sum rules in QRPA with neutron-proton pairing

Cited by 54 publications

References 41 publications

The Pauli principle, QRPA and the two-neutrino double beta decay

The Pauli principle, QRPA and the two-neutrino double beta decay

Quasiparticle random phase approximation based on the relativistic Hartree-Bogoliubov model. II. Nuclear spin and isospin excitations

β+/EC decay rates of deformed neutron-deficient nuclei in the deformed QRPA with realistic interactions

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