The ground-state magnetic moments of odd-mass Hf isotopes

Yakut, H.; Tabar, E.; Kuliev, A.A.; Guliyev, E.

doi:10.2478/s11534-014-0519-y

Cited by 10 publications

(35 citation statements)

References 31 publications

(49 reference statements)

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“…As known, the intrinsic magnetic moment of the odd-A nucleus is the expected value of the z component of the magnetic dipole operator [1][2][3][4][5][6][7][8]. The value of gK was obtained as follows after long and complex operations within the framework of QPNM.…”

Section: Methods (Theory)mentioning

confidence: 99%

“…the following analytical expression is obtained for the effective spin gyromagnetic factor [1][2][3]:…”

Section: Methods (Theory)mentioning

confidence: 99%

“…The theoretical investigation of the ground-state magnetic properties of deformed odd-A nuclei plays an important role in understanding the complex structure of these nuclei and in determining the success of existing nuclear models [1][2][3][4][5][6][7][8]. It shows systematically large deviations from the shell model calculations (Schmidt curves) of the experimentally observed magnetic moments.…”

Section: Introductionmentioning

confidence: 99%

“…In this method, the spin-spin interaction parameter is obtained by comparing the calculated ground-state intrinsic magnetic moment (gK) with the experimental value of the odd-mass nucleus. Method were successfully applied to explain the ground state magnetic properties of 157−167 Er, 165 Dy, 165−179 Hf, 137−145 Ce, Ho, 239 Pu, 183,185 W, 185,187 Re and 187,189 Os [1][2][3][4][5][6][7][8].…”

Section: Introductionmentioning

confidence: 99%

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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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Section: Methods (Theory)mentioning

confidence: 99%

“…the following analytical expression is obtained for the effective spin gyromagnetic factor [1][2][3]:…”

Section: Methods (Theory)mentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

See 2 more Smart Citations

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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“…of this configuration for the neutron and proton, as was pointed out by Hisatake [4], are identified as 3/2 and 5/2, respectively. The determination of the Nilsson quantum numbers of ground state of the odd-odd 138,140 Pr nuclei will serve as a basis for calculating various characteristics such as beta decay [11], magnetic moment [12][13][14][15][16] and magnetic dipole transitions [17][18][19][20][21][22][23] of even and odd mass nuclei.…”

Section: Expected Ground State Configuration For 140 Prmentioning

confidence: 99%

The Ground State Nilsson Quantum Numbers of the Odd-Odd^138,140Pr Nuclei

et al. 2016

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In this work, we have determined the Nilsson quantum numbers of the ground state of the odd-odd 138,140 Pr nucleus for the first time. To achieve it, several low energy neutron-proton two quasiparticle levels have been calculated in 138,140 Pr nuclei using deformed Woods-Saxon potential basis. The Gamov-Teller β (+) decay transition matrix elements from these levels to the ground state of the neighbor 138,140 Ce nuclei and log f t values have been calculated. From the comparison of theoretical and experimental log f t values and neutron-proton K quantum numbers the ground state Nilsson quantum numbers of the odd-odd isotopes have been determined as {n [402]3/2− p[413]5/2} 1 + for two isotopes.

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