The dependence of the scissors mode on the deformation in the<sup>140–150</sup>Ce isotopes

Kuliev, A.A.; Guliyev, E.; Gerçeklioğlu, Murat

doi:10.1088/0954-3899/28/3/304

Cited by 15 publications

(4 citation statements)

References 45 publications

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“…[13], and in framework of this theory we investigated the low-lying dipole mode for nuclei from different areas [8,[13][14][15][16]. Therefore, we restrict ourselves here to a short description of the applications to low-lying M1 and E1 excitations.…”

Section: Theoretical Calculationmentioning

confidence: 99%

Fine structure of the dipole excitations of the even-even 160Gd nucleus in the spectroscopic region

et al. 2009

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Abstract:In this study, the result of calculations using rotational, translational and Galilean invariant quasiparticle random-phase approximation is presented for the low-lying dipole excitations in the even-even 160 Gd nucleus. Calculations are carried out for both ∆K =1 and ∆K =0 branches. The analysis shows that the main part of spin-1 states, observed at energy 2.4-4 MeV in 160 Gd, have M1 character and are interpreted as main fragments of the scissors mode. The calculations indicate the presence of a few prominent negativeparity dipole ∆K =1 states in the investigated energy region, in agreement with experiment.

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Section: Theoretical Calculationmentioning

confidence: 99%

Fine structure of the dipole excitations of the even-even 160Gd nucleus in the spectroscopic region

et al. 2009

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“…The importance of spin-spin forces is not only limited to the description of the spin polarization effect and ground-state magnetic properties in odd-A nuclei, it is also known that the spin-dependent part of neutron-proton interactions is responsible for the Gammow-Teller β transitions between the low energy levels of the nuclei [45,46]. More importantly, the studies performed to now show that spin-spin forces have successfully explained 1+ excitations and scissor mode in even-even nuclei [47][48][49][50][51][52][53][54][55][56]. For these reasons, it is very important to determine the spin-spin interaction parameters that are the subject of this article.…”

Section: K πmentioning

confidence: 83%

Numerical Analysis of the Ground-State Magnetic Moments of ${}^{143,145,147}{\rm{Sm}}$ Isotopes

Güner

2020

Mathematical Sciences and Applications E-Notes

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The description of the ground-state magnetic properties of odd-mass nuclei is very informative in understanding of the complex structure of the deformed nuclei. The ground-state magnetic moments of most of the odd-A deformed nuclei have been measured by various experimental studies and there are numerous studies in the literature. However, many of the theoretical studies on magnetic moments and spin polarization effects affecting them are far from explaining these measured values. In this paper, the magnetic moments and effective spin g factors of 143,145,147 Sm isotopes in the lanthanides region of the periodic table were investigated within the framework of the Quasiparticle-Phonon Nuclear Model (QPNM) based on the Lagrange Multiplier Method for the first time. Spin-spin interaction parameters (χ) were determined by comparing theoretical and experimental values of magnetic moments of the related isotopes and these interactions were found to have an isovector character q = −1. It has been observed that the ground-state structures of the studied isotopes are weakly affected by quasiparticle⊗phonon interactions and the contribution of these interactions (G K0v iµ values) to the ground-state wave functions is quite small (around 0.01%). Theoretical explanation of the renormalization of spin gyromagnetic factor is one of the most important problems of nuclear structure physics. The results obtained in this study for the effective spin gyromagnetic factor g ef f. s g τ s also agree with the phenological value g ef f.s = (0.5 − 0.7)g τ s .

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“…The aim is to investigate beta transitions properties of the scissors mode 1"^ excitations in ^'' *Er. Thus in this work we complete our previous rotational invariant calculations of the Ba, Nd, Sm and Hf [3,6,7] nuclei by detailed investigation magnetic and beta decay properties ofthe^'^'^Er. Collective l"^-states are treated as vibrational states in the framework of rotational invariant RPA [6] the collectivization of states being due to the spin-spin interactions and a forces restoring rotational invariance of single particle Hamiltonian of the nucleus.…”

Section: Introductionmentioning

confidence: 94%

The β-Decay Properties of Scissors Mode 1[sup +] States in [sup 164]Er

Yildirim¹,

Guliyev²,

Kuliev³

et al. 2008

AIP Conference Proceedings

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The beta decay properties of collective I^K = 1*1 states in doubly even deformed Er nuclei are investigated in the framework of the rotational invariant random-phase approximation. It is shown that an essential decrease of the rate of the allowed P-decay to the excited l*-states as compared with that to the ground state may be due to the orbital nature of the states. The model Hamiltonian includes restoring rotational invariance of the deformed single particle Hamiltonian forces and the spin-spin interactions. The analytical expressions for the Gamov-Teller (G-T) and Fermi (F) decay matrix elements are derived. The single-particle energies were obtained from the Warsaw deformed Woods-Saxon potential with deformation parameter S2 =0.24.The numerical residts for P* transition from Tm to Er indicate the importance of using rotational invariant Hamiltonian to explain experimental data.

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The dependence of the scissors mode on the deformation in the^140–150Ce isotopes

Cited by 15 publications

References 45 publications

Fine structure of the dipole excitations of the even-even 160Gd nucleus in the spectroscopic region

Fine structure of the dipole excitations of the even-even 160Gd nucleus in the spectroscopic region

Numerical Analysis of the Ground-State Magnetic Moments of ${}^{143,145,147}{\rm{Sm}}$ Isotopes

The β-Decay Properties of Scissors Mode 1[sup +] States in [sup 164]Er

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The dependence of the scissors mode on the deformation in the140–150Ce isotopes

Cited by 15 publications

References 45 publications

Fine structure of the dipole excitations of the even-even 160Gd nucleus in the spectroscopic region

Fine structure of the dipole excitations of the even-even 160Gd nucleus in the spectroscopic region

Numerical Analysis of the Ground-State Magnetic Moments of ${}^{143,145,147}{\rm{Sm}}$ Isotopes

The β-Decay Properties of Scissors Mode 1[sup +] States in [sup 164]Er

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The dependence of the scissors mode on the deformation in the^140–150Ce isotopes