Magnetic properties of K = 1/2 states in deformed odd-mass nuclei

Tabar, E.

doi:10.1016/j.nuclphysa.2019.02.010

Cited by 7 publications

(15 citation statements)

References 39 publications

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“…The effect of spin polarization effects on magnetic moment calculation has been reported in many articles in the literature [38][39][40][41]. Detailed descriptions of these parameters can be found in [40,[42][43][44][45][46][47][48][49][50][51][52][53][54][55][56][57]. With these formulas, magnetic moment (μ) values, theoretical intrinsic magnetic moment (g K ), and effective spin gyromagnetic factor (g s eff.…”

Section: Resultsmentioning

confidence: 99%

Inference and visualization of nuclear magnetic moment studies with neuro-fuzzy systems

Öztürk,

Kemah,

Yakut

et al. 2023

Phys. Scr.

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This study aims to predict the magnetic moments of nuclei with odd-A numbers in a certain region of which magnetic moment has not yet been calculated, using the Adaptive Neuro-Fuzzy Inference System (Anfis) method. In our Anfis model, the proton number (Z), neutron number (N), and spin value (I) are used as inputs for nuclei with 1≤Z≤88. With these input data, 526 odd-A nuclei are trained, and 124 nuclei are tested. The fact that the Anfis model was closer to the experimental data in the training and testing processes than the theoretical methods encouraged us to make inferences about the nuclei of which experimental nuclear magnetic moment is unknown. To that end, inferences have been made for 165 nuclei without experimental magnetic moments in regions 1≤Z≤28. In this region, Na, F, and P isotopes have been specifically studied. Magnetic moment value inferences made for these isotopes using Anfis have also been compared with the theoretical results of the Quasiparticle-Phonon Nuclear Method (QPNM) and with the Shell Model calculations. There is a satisfactory agreement between our predictions and the results of these two theories. Besides, the values obtained from the test and train operations are within the minimum error limits (~%0.03-0.04), the reliability of our system has been proven and a study that has not yet been done in the literature has been conducted. Since the Neuro-Fuzzy system will be a first in the field of nuclear technologies, we believe that the outputs of our study will be a good reference for future studies.

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Section: Resultsmentioning

confidence: 99%

Inference and visualization of nuclear magnetic moment studies with neuro-fuzzy systems

Öztürk,

Kemah,

Yakut

et al. 2023

Phys. Scr.

View full text Add to dashboard Cite

show abstract

“…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%

“…There is a significant reduction in the spin factor due to the contribution from spin polarization. Details of the theory and analytical expressions are available in Reference [1][2][3][4][5][6][7][8]21].…”

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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Nuclear Structure and Decay Data for A=167 Isobars

Singh,

Chen

2023

Nuclear Data Sheets

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Magnetic properties of K = 1/2 states in deformed odd-mass nuclei

Cited by 7 publications

References 39 publications

Inference and visualization of nuclear magnetic moment studies with neuro-fuzzy systems

Inference and visualization of nuclear magnetic moment studies with neuro-fuzzy systems

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

Nuclear Structure and Decay Data for A=167 Isobars

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Magnetic properties of K = 1/2 states in deformed odd-mass nuclei

Cited by 7 publications

References 39 publications

Inference and visualization of nuclear magnetic moment studies with neuro-fuzzy systems

Inference and visualization of nuclear magnetic moment studies with neuro-fuzzy systems

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

Nuclear Structure and Decay Data for A=167 Isobars

Contact Info

Product

Resources

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Magnetic properties of K = 1/2 states in deformed odd-mass nuclei