Investigation of the effect of the displacement of energy levels on spectral statistics of deformed nuclei

In this paper, the spectral statistics of prolatedeformed nuclei are investigated by using random matrix theory. To this aim, we used both available experimental data and also the energy levels of ground, beta, and gamma bands of 51 deformed even-even nuclei, which are determined via partial SU(3) d...

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Main Authors: S.Kh. Mousavi Mobarake, H. Sabri, A. Jalili Majarshin
Format: Article
Language:fas
Published: Nuclear Science and Technology Research Institute 2020-11-01
Series:مجله علوم و فنون هسته‌ای
Subjects:
Online Access:https://jonsat.nstri.ir/article_1136_d0d98f489971dceedda0803163073bd8.pdf
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author S.Kh. Mousavi Mobarake,
H. Sabri
A. Jalili Majarshin
author_facet S.Kh. Mousavi Mobarake,
H. Sabri
A. Jalili Majarshin
author_sort S.Kh. Mousavi Mobarake,
collection DOAJ
description In this paper, the spectral statistics of prolatedeformed nuclei are investigated by using random matrix theory. To this aim, we used both available experimental data and also the energy levels of ground, beta, and gamma bands of 51 deformed even-even nuclei, which are determined via partial SU(3) dynamical symmetry limit of interacting boson model. The results verified the ability of the considered models in the restoration of experimental data and also the displacement of beta and gamma energy bands. Also, the dependence of the statistical situation of energy levels is considered to the mass of nuclei, spins, half-lives of the ground state, bands of energy, and different configurations of excited bands of energies. The results suggested obvious differences in the spectral situation of the levels in different rotational bands and also different mass regions. Also, the displacement of levels and the lower energy of  state in comparison with level reduce the correlation of levels in spectral statistics.
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spelling doaj.art-5cc53be3631a4d518e583ec3395003bd2023-05-02T09:07:44ZfasNuclear Science and Technology Research Instituteمجله علوم و فنون هسته‌ای1735-18712676-58612020-11-0141311010.24200/nst.2020.11361136Investigation of the effect of the displacement of energy levels on spectral statistics of deformed nucleiS.Kh. Mousavi Mobarake,0H. Sabri1A. Jalili Majarshin2Department of Nuclear Physics, Faculty of Physics, University of Tabriz, P.O.Box: 51664, Tabriz –IranDepartment of Nuclear Physics, Faculty of Physics, University of Tabriz, P.O.Box: 51664, Tabriz –IranDepartment of Nuclear Physics, Faculty of Physics, University of Tabriz, P.O.Box: 51664, Tabriz –IranIn this paper, the spectral statistics of prolatedeformed nuclei are investigated by using random matrix theory. To this aim, we used both available experimental data and also the energy levels of ground, beta, and gamma bands of 51 deformed even-even nuclei, which are determined via partial SU(3) dynamical symmetry limit of interacting boson model. The results verified the ability of the considered models in the restoration of experimental data and also the displacement of beta and gamma energy bands. Also, the dependence of the statistical situation of energy levels is considered to the mass of nuclei, spins, half-lives of the ground state, bands of energy, and different configurations of excited bands of energies. The results suggested obvious differences in the spectral situation of the levels in different rotational bands and also different mass regions. Also, the displacement of levels and the lower energy of  state in comparison with level reduce the correlation of levels in spectral statistics.https://jonsat.nstri.ir/article_1136_d0d98f489971dceedda0803163073bd8.pdfrandom matrix theory (rmt)interacting boson model (ibm)partial su(3) dynamical symmetrydeformed nucleibands of energy
spellingShingle S.Kh. Mousavi Mobarake,
H. Sabri
A. Jalili Majarshin
Investigation of the effect of the displacement of energy levels on spectral statistics of deformed nuclei
مجله علوم و فنون هسته‌ای
random matrix theory (rmt)
interacting boson model (ibm)
partial su(3) dynamical symmetry
deformed nuclei
bands of energy
title Investigation of the effect of the displacement of energy levels on spectral statistics of deformed nuclei
title_full Investigation of the effect of the displacement of energy levels on spectral statistics of deformed nuclei
title_fullStr Investigation of the effect of the displacement of energy levels on spectral statistics of deformed nuclei
title_full_unstemmed Investigation of the effect of the displacement of energy levels on spectral statistics of deformed nuclei
title_short Investigation of the effect of the displacement of energy levels on spectral statistics of deformed nuclei
title_sort investigation of the effect of the displacement of energy levels on spectral statistics of deformed nuclei
topic random matrix theory (rmt)
interacting boson model (ibm)
partial su(3) dynamical symmetry
deformed nuclei
bands of energy
url https://jonsat.nstri.ir/article_1136_d0d98f489971dceedda0803163073bd8.pdf
work_keys_str_mv AT skhmousavimobarake investigationoftheeffectofthedisplacementofenergylevelsonspectralstatisticsofdeformednuclei
AT hsabri investigationoftheeffectofthedisplacementofenergylevelsonspectralstatisticsofdeformednuclei
AT ajalilimajarshin investigationoftheeffectofthedisplacementofenergylevelsonspectralstatisticsofdeformednuclei