Low-lying Gamow-Teller transitions in spherical nuclei

Çakmak, Necla; Ünlü, Serdar; Selam, Cevad

doi:10.1134/s106377881201005x

Cited by 10 publications

(5 citation statements)

References 16 publications

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“…where H sqp is the single quasiparticle (sqp) Hamiltonian and ĥph is the GT effective interaction in the ph channel. Details of solution of allowed GT formalism are available in [13,14].…”

Section: The Pn-qrpa (Ws) Modelmentioning

confidence: 99%

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β-decay of N = 126 isotones for the r-process nucleosynthesis

Nabi¹,

Çakmak²,

Ullah³

et al. 2021

Phys. Scr.

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The β-decay properties of nuclei with neutron number N = 126 is investigated in this paper. Two different versions of the proton-neutron quasi particle random phase (pn-QRPA) model were employed to compute β-decay rates and half-lives for the N = 126 isotones. The first set of calculation solves the pn-QRPA equations using the schematic model (SM) approach. The Woods-Saxon potential was employed as a mean-field basis. A spherical shape assigned for each waiting point nuclei throughout all simulations. Both allowed Gamow-Teller (GT) and first-forbidden (FF) transitions were considered in the particle-hole (ph) channel. The second set uses the pn-QRPA model in deformed Nilsson basis to calculate β-decay rates for allowed GT and unique first-forbidden (U1F) transitions under terrestrial and stellar conditions. Our results are in agreement with shell model findings that first-forbidden transitions lead to a considerable decrement in the calculated half-lives of the isotones. Inclusion of the first-forbidden contribution led to a decent agreement of our computed terrestrial β-decay half-lives with measured ones, much better than the previous calculations. The possible implication of the waiting point nuclei on r-process nucleosynthesis is discussed briefly.

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“…where H sqp is the single quasiparticle (sqp) Hamiltonian and ĥph is the GT effective interaction in the ph channel. Details of solution of allowed GT formalism are available in [13,14].…”

Section: The Pn-qrpa (Ws) Modelmentioning

confidence: 99%

“…1, , . 17 In equations (12), (14), the upper sign stands for β + while the lower signs show the β − decay. The ft values are specified by…”

Section: The Pn-qrpa (Ws) Modelmentioning

confidence: 99%

β-decay of N = 126 isotones for the r-process nucleosynthesis

Nabi¹,

Çakmak²,

Ullah³

et al. 2021

Phys. Scr.

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show abstract

“…The broken symmetry is then restored using an effective interaction employing the Pyatov method. Details of solution of allowed GT formalism can be seen in [30].…”

Section: Formalismmentioning

confidence: 99%

First-forbidden transitions and stellarβ-decay rates of Zn and Ge isotopes

et al. 2015

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First-forbidden (FF) charge-changing transitions become relatively important for nuclei as their proton number increases. This is because the strength of allowed Gamow-Teller (GT) transitions decreases with increasing Z. The FF transitions play an important role in reducing the half-lives as against those calculated from taking the GT transitions alone into account. In this paper we calculate allowed GT as well as 0 + → 0 − and 0 + → 2 − transitions for neutron-rich Zn and Ge isotopes. Two different pn-QRPA models were used with a schematic separable interaction to calculate GT and FF transitions. Half-lives calculated after inclusion of FF transitions were in excellent agreement with the experimental data. Our calculations were also compared to previous QRPA calculations and were found to be in better agreement with measured data. Stellar β-decay rates were calculated for these nuclei including allowed GT and unique FF transitions for astrophysical applications. 86,88 Ge has a sizeable contribution to the total stellar rate from unique FF transitions.

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“…The single particle potential for a proton interacting with a spherical nucleus, which includes the nuclear, spin-orbit interactions and the Coulomb potential, can be written as follows [15][16][17]:…”

Section: Introductionmentioning

confidence: 99%

Analytical solution of the Coulomb potential for spherical nuclei

2019

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A lot of problems of atomic and nuclear physics depend on with high accuracy to the Coulomb potential. Therefore, it is very important to carefully and accurately calculate the Coulomb potential. In this study, a new analytical expression was obtained for calculating the Coulomb potential by choosing the Fermi distribution function, which is suitable for charge distribution in nuclei. The proposed formula guarantees an accurate and simple calculation of the Coulomb potential of nuclei. Using the analytical expression obtained, the Coulomb potentials for several spherical nuclei were calculated for all values of the parameters. It is shown that the results obtained for arbitrary values of the radius are consistent with the literature data. In this study, the accepted values in literature of the two parameters (Coulomb radius and diffuseness parameter ) which are important for the coulomb potential are also discussed.

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Low-lying Gamow-Teller transitions in spherical nuclei

Cited by 10 publications

References 16 publications

β-decay of N = 126 isotones for the r-process nucleosynthesis

β-decay of N = 126 isotones for the r-process nucleosynthesis

First-forbidden transitions and stellarβ-decay rates of Zn and Ge isotopes

Analytical solution of the Coulomb potential for spherical nuclei

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