Study of Back Bending in 157,158Er Isotopes by Using Electromagnetic Reduced Transition Probabilities

Shahriarie, Mehran; Mohammadi, S.; Firouzi, Zohreh

doi:10.3938/jkps.76.8

Cited by 9 publications

(6 citation statements)

References 20 publications

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“…All deformation parameters are chosen from Ref. [15]. The standard strength for the pairing interaction GM is taken of the form ( )…”

Section: Projected Shell Modelmentioning

confidence: 99%

“…High spin gamma-ray spectroscopy is one of the important tools in nuclear structure studies. The evolution of Yrast structure of neutron rich rare earth nuclei around the double mid shell had a lot of motivation to study these nuclei in recent years [1][2][3][4][5][6][7][8][9][10][11][12][13][14][15][16][17][18]. The gamma rays de-exciting the high spin states in rare earth nuclei were the subject of many studies in experimental and theoretical nuclear physics for several years.…”

Section: Introductionmentioning

confidence: 99%

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Study of high spin phenomena in even-even dysprosium isotopes by using projected shell model

2022

ijp

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Back-bending phenomenon which occurs at high spin states of some heavy mass nuclei has been studied, for the first time, by using the ratio of electromagnetic reduced transition probabilities B(M1) / B(E2) within the Projected Shell Model (PSM). In this model, all angular momenta are projected on the symmetry axis of the deformed nucleus, which makes shell model calculations much easier. The electric quadrupole transition probability B(E2) and the magnetic dipole transition probability B(M1) are sensitive to the nuclear shape deformation and nuclear charge distribution, respectively. As a result, any change in the nuclear rotation speed can change the transition probability ratios at high spins. Our ratio findings at high state spins in even -even 152-164Dy isotopes confirm the previous back-bendings seen in these isotopes, in good agreement wth the experimental data. Increasing spectroscopic quadrupole moments with spin is another high spin phenomenon in heavy mass nuclei studied in this paper. While intrinsic quadrupole moments are constant for each Dy isotope, this study shows that spectroscopic (observed) quadrupole moments are increasing with spin.

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“…All deformation parameters are chosen from Ref. [15]. The standard strength for the pairing interaction GM is taken of the form ( )…”

Section: Projected Shell Modelmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Study of high spin phenomena in even-even dysprosium isotopes by using projected shell model

2022

ijp

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“…Finally, in 1997, the FORTRAN code of the PSM for PCs was written and published [10] and has been quietly successful and is still used today. By the PSM code, many articles have been published, including for Osmium and Erbium, back-bending and nucleon-rich phenomenon due to the reduced electromagnetic transition probabilities, B(M1)/B(E2), by Shahriari et al [11] and Moonesi et al [12], calculated and compared with the experimental values. In the present work, the main purpose is a systematic study of the effect of increasing neutrons number on the deformation parameter, ε2, and nucleus rotation mode in slightly high spin states of 185-187-189 Os isotopes by use of the projected shell model.…”

Section: Introductionsmentioning

confidence: 99%

Shape Changes in Odd-Even Osmium Isotopes

Moonesi

Mohammadi

Shahriari

2022

Jonra

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This paper has calculated the energy levels of 185-187-189 Os isotopes using the projected shell model (PSM). Yrast Spectrum, nucleus rotation frequency and the ratio of reduced electromagnetic transition probabilities, B(E2)/B(M1) plots versus spin for understanding the structure of multi-quasiparticle band up to the spins 47/2 + , 33/2 + and 31/2 + for these isotopes, are plotted, respectively. It was found that in the spin ranges 35/2 + -39/2 + , 31/2 + -33/2 + , and 27/2 + -29/2 + , due to 3-quasiparticle band-crossing, simultaneously by increasing rotational inertia of the nucleus, nucleus rotation frequency decreases greatly and as an important result, B(E2)/B(M1) ratio, the electrical properties of the nucleus in these spins increase. Indeed, in these isotopes, observed that by increasing neutron number, the deformation parameter, ε2 decreases as well, and by increasing spin in especial spins, due to nucleon alignment phenomenon, the nucleus rotational behavior decreases inverse the vibration mode.

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“…E-mail address: smohammadi1958@gmail.com DOI: https://doi.org/10.17146/aij.2022.1190 lanthanide series have the largest number of valence particles, and studies show that the quadrupole deformations are high in these nuclei. There are comprehensive high spin study of nuclei in literatures [4][5][6][7][8][9][10][11]. One of the tools to study shape changes in lanthanide nuclei is back bending.…”

Section: Introduction mentioning

confidence: 99%

Systematic Projected Shell Model Study of Even-Even Dysprosium Isotopes

2022

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Back-bending phenomenon is one of the important phenomena usually seen at high spin states of even -even heavy nuclei. As a result, any changes in the behavior of nuclear rotation, such as increase in moment of inertia versus rotational frequency can be shown in the usual back-bending plots which have been studied in many papers before. In this paper we show for the first time that these changes can be seen in the ratio of electromagnetic reduced transition probabilities B (E2) and B (M1) in even -even [152][153][154][155][156][157][158][159][160][161][162][163][164] Dy isotopes using the Projected Shell Model (PSM) theory. The electric quadrupole transition probability B (E2) and the magnetic dipole transition probability B (M1) moments are sensitive to nuclear shape deformation and nuclear charge distribution, respectively. Our findings confirm the well-known back-bending previously seen and are in good agreement with experimental results. While intrinsic quadrupole moments are constant for each Dy isotope, the new findings show that spectroscopic quadrupole moments are increasing with spin.

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Study of Back Bending in 157,158Er Isotopes by Using Electromagnetic Reduced Transition Probabilities

Cited by 9 publications

References 20 publications

Study of high spin phenomena in even-even dysprosium isotopes by using projected shell model

Study of high spin phenomena in even-even dysprosium isotopes by using projected shell model

Shape Changes in Odd-Even Osmium Isotopes

Systematic Projected Shell Model Study of Even-Even Dysprosium Isotopes

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