Stability Analysis of the Nuclear Structure as a Many Body System by Using Quantum Chaos Theory

Stability analysis of the nuclear structure as a many-body system has a particular importance in nuclear physics. ‎Understanding its statistical properties and also phase transitions provide useful information about nuclear structure and nuclear processes. The statistical properties of the set of en...

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Main Authors: S Behnia, V Razazi
Format: Article
Language:fas
Published: Nuclear Science and Technology Research Institute 2018-08-01
Series:مجله علوم و فنون هسته‌ای
Subjects:
Online Access:https://jonsat.nstri.ir/article_1042_2dc549f78c34827e9f4a138d29297090.pdf
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author S Behnia
V Razazi
author_facet S Behnia
V Razazi
author_sort S Behnia
collection DOAJ
description Stability analysis of the nuclear structure as a many-body system has a particular importance in nuclear physics. ‎Understanding its statistical properties and also phase transitions provide useful information about nuclear structure and nuclear processes. The statistical properties of the set of energy levels of a system are well described by random matrix theory in quantum chaos. Resonance of energy levels depends on the Hamiltonian symmetry that placed in one of the GOE, GUE, GSE ensembles and in the integrable system in the Poissonian ensemble. The statistical analysis of energy levels by random matrix theory will be possible by calculating the Hamiltonian’s eigenvalues of the system. The calcium chain is an ideal test bench for study on the nuclear structure due to  its existing double magic isotopes. In the present work, we use quantum chaos theory in order to investigate the stability of the nuclear structure of 50Caand 48Ca isotopes, and the results obtained are compared with those of the Isolde-Cern laboratory.
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spelling doaj.art-b1734b6889be4f408b07e144d53bce462023-05-02T10:18:00ZfasNuclear Science and Technology Research Instituteمجله علوم و فنون هسته‌ای1735-18712676-58612018-08-013921810.24200/nst.2018.10421042Stability Analysis of the Nuclear Structure as a Many Body System by Using Quantum Chaos TheoryS Behnia0V Razazi1گروه فیزیک، دانشگاه صنعتی ارومیه، صندوق پستی: 57157-419، ارومیه ـ ایرانگروه فیزیک، دانشگاه صنعتی ارومیه، صندوق پستی: 57157-419، ارومیه ـ ایرانStability analysis of the nuclear structure as a many-body system has a particular importance in nuclear physics. ‎Understanding its statistical properties and also phase transitions provide useful information about nuclear structure and nuclear processes. The statistical properties of the set of energy levels of a system are well described by random matrix theory in quantum chaos. Resonance of energy levels depends on the Hamiltonian symmetry that placed in one of the GOE, GUE, GSE ensembles and in the integrable system in the Poissonian ensemble. The statistical analysis of energy levels by random matrix theory will be possible by calculating the Hamiltonian’s eigenvalues of the system. The calcium chain is an ideal test bench for study on the nuclear structure due to  its existing double magic isotopes. In the present work, we use quantum chaos theory in order to investigate the stability of the nuclear structure of 50Caand 48Ca isotopes, and the results obtained are compared with those of the Isolde-Cern laboratory.https://jonsat.nstri.ir/article_1042_2dc549f78c34827e9f4a138d29297090.pdfnuclear shell modelrandom matrix theoryquantum chaosmany-body systems
spellingShingle S Behnia
V Razazi
Stability Analysis of the Nuclear Structure as a Many Body System by Using Quantum Chaos Theory
مجله علوم و فنون هسته‌ای
nuclear shell model
random matrix theory
quantum chaos
many-body systems
title Stability Analysis of the Nuclear Structure as a Many Body System by Using Quantum Chaos Theory
title_full Stability Analysis of the Nuclear Structure as a Many Body System by Using Quantum Chaos Theory
title_fullStr Stability Analysis of the Nuclear Structure as a Many Body System by Using Quantum Chaos Theory
title_full_unstemmed Stability Analysis of the Nuclear Structure as a Many Body System by Using Quantum Chaos Theory
title_short Stability Analysis of the Nuclear Structure as a Many Body System by Using Quantum Chaos Theory
title_sort stability analysis of the nuclear structure as a many body system by using quantum chaos theory
topic nuclear shell model
random matrix theory
quantum chaos
many-body systems
url https://jonsat.nstri.ir/article_1042_2dc549f78c34827e9f4a138d29297090.pdf
work_keys_str_mv AT sbehnia stabilityanalysisofthenuclearstructureasamanybodysystembyusingquantumchaostheory
AT vrazazi stabilityanalysisofthenuclearstructureasamanybodysystembyusingquantumchaostheory