The isospin admixture of the ground state and the properties of the isobar analog resonances in medium and heavy mass nuclei

Salamov, D.I.; Babacan, T.; Küçükbursa, Atalay; Ünlü, Serdar; Maraş, İsmail

doi:10.1007/bf02708463

Cited by 15 publications

(4 citation statements)

References 15 publications

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“…As known, the symmetry properties of the total nucleus Hamiltonian are violated in the mean field approximation. These violations have remarkable effects on the single and double beta decay rates [25][26][27][28][29][30][31][32]. The observation of Fermi β + decay in neutron-excess nuclei can be attributed to the isospin symmetry violations stemming from the electromagnetic interactions.…”

Section: Introductionmentioning

confidence: 99%

“…Hence, the nucleon-nucleon residual interaction potential should be included in such a way that the isospin symmetry violation in the mean field level is restored. Pyatov's restoration method is an efficient way for such a restoration [26,[31][32][33][34][35][36][37][38]. This method was used to investigate the isospin mixing and isobar analogue states for spherical nuclei [26,37,38].…”

Section: Introductionmentioning

confidence: 99%

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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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Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Isospin mixing and Fermi transitions for some deformed nuclei

Ünlü¹,

Aygör²,

Çakmak³

et al. 2016

Turk J Phys

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“…These restorations played an important role in the investigation of the electric dipole excitations (1 − ) and magnetic dipole excitations (1 + ) in even-even nuclei. The same method was used to restore the isospin invariance of the nuclear Hamiltonian and the problem of the isospin mixing in the ground states was studied for the spherical odd-odd nuclei [28][29][30][31]. The method has not been applied for the study of the isobar analogue states in the deformed odd-odd nuclei yet.…”

Section: Introductionmentioning

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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“…Pyatov method was used in several studies [14][15][16][17][18][19][20][21][22][23]. In our previous studies, the Cabbibo-Kobayashi-Maskawa (CKM) matrix unitarity [24,25], the values of superallowed fermi beta decays [26] and isospin admixtures and isospin structure of isobar analog resonance states of superallowed beta decays [27] were investigated without and with pairing interactions, by using this method.…”

Section: Introductionmentioning

confidence: 99%

Investigation of isospin forbidden 0+ → 0+ Fermi beta decays with Pyatov method

Çalık¹

2014

Open Physics

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Abstract:In the present work, the matrix elements, isospin impurities and log values of the isospin forbidden 0 + → 0 + beta decays have been investigated. The calculated results have been compared with available experimental and another theoretical data. The isotopic invariance of the Hamiltonian has been restored by Pyatov method. Within the quasi-particle random phase approximation (QRPA), the computations have been performed both in presence and absence of the pairing interactions. PACS

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The isospin admixture of the ground state and the properties of the isobar analog resonances in medium and heavy mass nuclei

Cited by 15 publications

References 15 publications

Isospin mixing and Fermi transitions for some deformed nuclei

Isospin mixing and Fermi transitions for some deformed nuclei

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

Investigation of isospin forbidden 0+ → 0+ Fermi beta decays with Pyatov method

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