On the energetics of the Gamow-Teller resonances

Nakayama, Koichi; Galeão, A. P.; Krmpotić, F.

doi:10.1016/0370-2693(82)90480-4

Cited by 74 publications

(95 citation statements)

References 23 publications

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“…3, we can draw two first conclusions. First, one should notice that the linear behavior of E GTR − E IAR vs. (N − Z)/A was already checked, on the experimental data, in [38] as it was expected on the ground of simple schematic models [1,39]. In fact, if one performs a simple RPA calculation using a separable interaction in a restricted space (made up with the excess neutrons and the proton spin-orbit partners), one finds that…”

Section: Teller Operatormentioning

confidence: 99%

Spin-isospin nuclear response using the existing microscopic Skyrme functionals

Fracasso

Colò

2007

Phys. Rev. C

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Our paper aims at providing an answer to the question whether one can reliably describe the properties of the most important spin-isospin nuclear excitations, by using the available nonrelativistic Skyrme energy functionals. Our method, which has been introduced in a previous publication devoted to the Isobaric Analog states, is the self-consistent Quasiparticle Random Phase Approximation (QRPA). The inclusion of pairing is instrumental for describing a number of experimentally measured spherical systems which are characterized by open shells. We discuss the effect of isoscalar and isovector pairing correlations. Based on the results for the Gamow-Teller resonance in 90 Zr, in 208 Pb and in few Sn isotopes, we draw definite conclusions on the performance of different Skyrme parametrizations, and we suggest improvements for future fits. We also use the spin-dipole resonance as a benchmark of our statements.

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Section: Teller Operatormentioning

confidence: 99%

Spin-isospin nuclear response using the existing microscopic Skyrme functionals

Fracasso

Colò

2007

Phys. Rev. C

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“…Equation (3) is obtained as in [20] but substituting A for N. It corresponds to decreasing of the E ls value and restoration of the Wigner SU(4)-symmetry in heavy nuclei. Equation (2) is also applicable for very heavy and superheavy nuclei, because for them the value of x = ΔE/E ls is larger and the accuracy of the calculations should be better.…”

Section: Methods Of Calculationmentioning

confidence: 99%

Charge-exchange resonances and restoration of the Wigner SU(4)-symmetry in heavy and superheavy nuclei

Lutostansky

Tikhonov

2016

EPJ Web of Conferences

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Abstract. Energies of the giant Gamow-Teller and analog resonances -E G and E A , respectively, -are calculated within the microscopic theory of finite Fermi system. The calculated energy difference ΔE G−A = E G − E A tends to zero with A in heavy nuclei indicating the restoration of Wigner SU(4)-symmetry. The calculated ΔE G−A values are in good agreement with the experimental data. The average deviation is 0.30 MeV for the 33 considered nuclei where experimental data are available. The ΔE G−A values are investigated for very heavy and superheavy nuclei up to the mass number A = 290. Using the experimental data for the analog resonance energies, the isotopic dependence of the Coulomb energy differences for neighboring isobars are analyzed within the SU(4)-approach for more than 400 nuclei in the mass number range of A = 3 − 244. The Wigner SU(4)-symmetry restoration for heavy and superheavy nuclei is confirmed. It is shown that the restoration of SU(4)-symmetry does not contradict the possibility of the existence of the "island of stability" in the region of superheavy nuclei.

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“…and the displacement of the GT resonance towards the IAS with increasing N − Z may be interpreted as the effect of the residual interaction [39,40,41]. As a matter of fact, the first term has the mass dependence of the mean spin-orbit splitting, ∆ l s , and within a schematic TDA for the δ interaction (that we use in the present work) one gets [39] …”

Section: Introductionmentioning

confidence: 99%

“…In fact, the observed mean energy differences between the GT and F resonances can be accounted for by the relation [39] …”

Section: Introductionmentioning

confidence: 99%

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Double-beta decay in pn-QRPA model with isospin and SU(4) symmetry constraints

Krmpotić

Sharma

1994

Nuclear Physics A

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The transition matrix elements for the 0 + → 0 + double beta decays are calculated for 48 Ca, 76 Ge, 82 Se, 100 Mo, 128 T e and 130 T e nuclei, using a δ-interaction. As a guide, to fix the particle-particle interaction strengths, we exploit the fact that the missing symmetries of the mean field approximation are restored in the random phase approximation by the residual interaction. Thus, the T = 1, S = 0 and T = 0, S = 1 coupling strengths have been estimated by invoking the partial restoration of the isospin and Wigner SU (4) symmetries, respectively. When this recipe is strictly applied, the calculation is consistent with the experimental limit for the 2ν lifetime of 48 Ca and it also correctly reproduces the 2ν lifetime of 82 Se. In this way, however, the two-neutrino matrix elements for the remaining nuclei are either underestimated (for 76 Ge and 100 Mo) or overestimated (for 128 T e and 130 T e) approximately by a factor of 3. With a comparatively small variation (< 10%) of the spin-triplet parameter, near the value suggested by the SU(4) symmetry, it is possible to reproduce the measured T 2ν 1/2 in all the cases. The upper limit for the effective neutrino mass, as obtained from the theoretical estimates of 0ν matrix elements, is < m ν > ∼ = 1 eV. The dependence of the nuclear matrix elements on the size of the configuration space has been also analyzed. † Fellow of the CONICET from Argentina * Financial support from CNPq, Brazil is acknowledged

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On the energetics of the Gamow-Teller resonances

Cited by 74 publications

References 23 publications

Spin-isospin nuclear response using the existing microscopic Skyrme functionals

Spin-isospin nuclear response using the existing microscopic Skyrme functionals

Charge-exchange resonances and restoration of the Wigner SU(4)-symmetry in heavy and superheavy nuclei

Double-beta decay in pn-QRPA model with isospin and SU(4) symmetry constraints

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