Search for the yrast traps in neutron deficient rare earth nuclei

Cerkaski, M.; Dudek, J.; Szymański, Z.; Andersson, C.; Lèander, G.A.; Åberg, Sven; Nilsson, Sven Gösta; Ragnarsson, I.

doi:10.1016/0370-2693(77)90331-8

Cited by 33 publications

(9 citation statements)

References 8 publications

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“…The numerical calculations have been performed for the deformed nuclei and spherical nuclei in 76 Ge. Nilsson single particle energies and wave functions have been calculated with a deformed Woods-Saxon potential [40]. The Gamow-Teller (GT) strength distributions, B(GT)-in Eq.…”

Section: Resultsmentioning

confidence: 99%

Effect of deformation, particle-hole and particle-particle interaction on Gamow-Teller transitions of 76Ge

Çakmak

2020

Cumhuriyet Science Journal

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Gamow-Teller (GT) transitions for 76 Ge using QRPA methods in this article are calculated, which play an essential role in the supernovae. Three different QRPA models are used to calculate the GT strength distributions. QRPA models are namely single quasi-particle (sqp), Pyatov Method (PM) and the Schematic Model (SM). Gamow-Teller distribution, ΣB(GT)-, the centroid of energy, the width of energy and ISR are calculated by using these models. The effect of particle-particle interaction on spherical nuclei and deformed nuclei on Gamow-Teller transitions is wanted to show in this paper. Deformed Woods-Saxon potential is used in calculations of Single-particle energies and wave functions. The results are also compared with previous theoretical calculations and measured strength distributions wherever available. It is expected that the current study of GT features would be helpful and may guide to a better knowledge of the Pre-supernova progression of massive stars.

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Section: Resultsmentioning

confidence: 99%

Effect of deformation, particle-hole and particle-particle interaction on Gamow-Teller transitions of 76Ge

Çakmak

2020

Cumhuriyet Science Journal

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“…The isospin admixture probabilities in the ground states of deformed Z = 54-68 nuclei and Fermi β transitions are calculated by using Pyatov's restoration method within the framework of pnQRPA formalism. The Nilsson single particle energies and wave functions are calculated within the deformed Woods-Saxon potential [39,40]. Table. The present deformations in the 2nd column are determined from the single particle energies as shown in [43].…”

Section: Resultsmentioning

confidence: 99%

Isospin mixing and Fermi transitions for some deformed nuclei

Ünlü¹,

Aygör²,

Çakmak³

et al. 2016

Turk J Phys

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We have tried to give a self-consistent explanation of isospin mixing and Fermi beta decays for 54 ≤ Z ≤ 68 deformed nuclei. The effect of isospin impurity in nuclear ground states on Fermi beta transitions has been investigated considering the restoration of symmetry violations stemming from the mean field approximation. The isobar analogue excitations in neighbor odd-odd nuclei have been obtained by following the proton-neutron quasiparticle random phase approximation (pnQRPA) procedure. The dependence of isospin admixture probability on the deformation parameter has been determined for various isotopes of Z = 54-68 nuclei. Then the variations of isobar analogue state energies and the β decay log(ft) values with deformation parameter have been calculated for the same nuclei. Thus, the influences of the isospin symmetry violations on Fermi transitions can be clearly understood.

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“…In order to understand the deformation effects on the isobar analogue states in 74−80 Rb isotopes, the mean field parameters and pairing gaps are fixed. The Nilsson single particle energies and wave functions have been calculated with the deformed Woods-Saxon potential [32,34]. All energy levels up to 8 MeV have been considered for neutrons and protons, and the proton and neutron pairing gaps have been determined as…”

Section: Resultsmentioning

confidence: 99%

“…where, V is the Coulomb's term of a deformed WoodsSaxon potential [32]. The reduced matrix element and quasi boson operators in Eq.…”

Section: Formalismmentioning

confidence: 99%

Deformation effects on isospin mixing and isobar analogue resonance for 74−80Kr isotopes

et al. 2014

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Abstract:Pyatov's method has been applied to investigate Fermi beta transitions in deformed 74−80 Kr isotopes. This self-consistent method, which was used to study the isobar analogue states in the spherical odd-odd nuclei, has to date not been applied for the isobar analogue states in deformed nuclei. The nucleon-nucleon residual interaction has been included so that the broken isospin symmetry in the mean field approximation has been restored and the strength parameter of the effective interaction has been taken out to be a free parameter. The energies and wave functions of the isobaric analogue excitations in 74−80 Rb isotopes have been obtained within the framework of the pnQRPA method. The probability of the isospin mixing in the ground states and the centroid energies of the isobar analogue resonance have been presented and the deformation effects on these quantities have been quantified. PACS

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Search for the yrast traps in neutron deficient rare earth nuclei

Cited by 33 publications

References 8 publications

Effect of deformation, particle-hole and particle-particle interaction on Gamow-Teller transitions of 76Ge

Effect of deformation, particle-hole and particle-particle interaction on Gamow-Teller transitions of 76Ge

Isospin mixing and Fermi transitions for some deformed nuclei

Deformation effects on isospin mixing and isobar analogue resonance for 74−80Kr isotopes

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