The Investigation of the log(ft) Values for the Allowed Gamow-Teller Transitions of Some Deformed Nuclei

Advances in Space Research

Nabi

Babacan

et al. 2015

Beta decay and electron capture on isotopes of chromium are advocated to play a key role in the stellar evolution process. In this paper we endeavor to study charge-changing transitions for 24 isotopes of chromium ( 42−65 Cr). These include neutron-rich and neutron-deficient isotopes of chromium. Three different models from the QRPA genre, namely the pn-QRPA, the Pyatov method (PM) and the Schematic model (SM), were selected to calculate and study the Gamow-Teller (GT) transitions in chromium isotopes. The SM was employed separately in the particle-particle (pp) and pp + particle-hole (ph) channels. To study the effect of deformation, the SM was first used assuming the nuclei to be spherical and later to be deformed. The PM was used both in pp and pp + ph channels but only for the case of spherical nuclei. The pn-QRPA calculation was done by considering both pp and ph forces and taking deformation of nucleus into consideration. A recent study proved this version of pn-QRPA to be the best for calculation of GT strength distributions amongst the QRPA models. The pn-QRPA model calculated GT distributions had low-lying centroids and small widths as compared to other QRPA models. Our calculation results were also compared with other theoretical models and measurements wherever ✩ This template can be used for all publications in Advances in Space Research.available. Our results are in decent agreement with previous measurements and shell model calculations.

Section: Pyatov Methods (Pm) and The Schematic Model (Sm)mentioning

confidence: 98%

Spin-isospin transitions in chromium isotopes within the quasiparticle random phase approximation

Advances in Space Research

Nabi

Babacan

et al. 2015

“…The GT strength values calculated from PM and SM may be different because of the effective interaction term (h0) (for more, see [12,13,14,15]). Spherical calculations are made within the framework of the Pyatov method and deformed calculations are done within the frame of the Schematic Model.…”

Section: Theoretical Formalismmentioning

confidence: 99%

Bazi Tek Çeki̇rdekli̇ Germanyum İzotobu İçi̇n Deforme Ve Küresel Çeki̇rdekleri̇n Log(ft) Değerleri̇

Eskişehir Teknik Üniversitesi Bilim Ve Teknoloji Dergisi B - Teorik Bilimler

2021

The log(ft) values of the allowed 𝛽± decay between odd-A spherical and deformed nuclei are studied for germanium isotopes in this paper. The Pyatov Method (PM) and the Schematic Model (SM)) are used to the GT strength distributions, including the schematic residual spin-isospin interaction between nucleons in the particle-hole and particle-particle channels. Particlehole and particle-particle interaction parameters are calculated respectively with 𝒳 𝑝ℎ 𝐺𝑇 = 5.2 𝐴 0.7 MeV and 𝒳 𝑝𝑝 𝐺𝑇 = 0.58 𝐴 0.7MeV. Deformed Woods-Saxon potential is used in calculations of single-particle energies and wave functions. The results are also compared with previous experiment values wherever available.

“…Calculated GT strength values from PM and SM can have differences because of the effective interaction term (h0) (for further details, see [9,11,34,38,39]). Spherical calculations are done within the frame of Pyatov method and Schematic Model.…”

Section: Theoretical Formalismmentioning

confidence: 99%

“…In Pyatov Method, after symmetry deteriorations because of mean field approach restore by the help of efficient interaction h0, beta decay interactions are taken into account in particle-hole and particleparticle channel. But, in Schematic Model, beta decay interactions are added without restored symmetry deteriorations [9,11,34,38,39]).…”

Section: Theoretical Formalismmentioning

confidence: 99%

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

Cumhuriyet Science Journal

2020

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.