Description of even-even Ti isotopes within IBM-1 model

Yeşim Şahin; Mahmut Boyukata

doi:10.17776/csj.856118

EN

Description of even-even Ti isotopes within IBM-1 model

Abstract

In this work, the some collective properties of even-even Ti isotopes in the A50 mass region were studied by using the interacting boson model-1 (IBM-1). This study includes calculations of the energy levels and the electromagnetic transition rates of 44-48Ti and 52-60Ti isotopes. The neutron number 50Ti isotope is 28, the magic number, and this isotope was excluded from the IBM-1 calculations. First, the energy ratios were analyzed by comparing the typical values of U(5), SU(3), O(6) dynamical symmetries and E(5), X(5) critical point symmetries. Later model Hamiltonian was constructed according to the behavior of given isotopes. The low lying energy levels of each Ti isotopes were calculated by using the fitted parameters of Hamiltonian. B(E2) values were also calculated by using the corresponding electromagnetic transition operator in the IBM-1. The calculation results were compared with experimental data and they are in good agreement with each other. Finally, R_(4/2)=E(4_1^+)/E(2_1^+), R_(0/2)=E(0_2^+)/E(2_1^+) energy ratios and B(E2:4_1^+→2_1^+)/B(E2:2_1^+→0_1^+), B(E2:0_2^+→2_1^+)/B(E2:2_1^+→0_1^+) ratios were analized to see the behavior of given isotopes. According to obtained results, Ti isotopes show E(5) behavior along the transition path from spherical to deformed -unstable region. Overall analysis indicates that these isotopes can be good example for the quantum shape phase studies along the isotopic chain.

Keywords

References

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Details

Primary Language

English

Subjects

Classical Physics (Other)

Journal Section

Research Article

Authors

Yeşim Şahin ^*
0000-0002-8043-740X
Türkiye

Mahmut Boyukata
0000-0002-8065-9993
Türkiye

Publication Date

March 29, 2021

Submission Date

January 7, 2021

Acceptance Date

March 10, 2021

Published in Issue

Year 2021 Volume: 42 Number: 1

DOI

https://doi.org/10.17776/csj.856118

IZ

https://izlik.org/JA62YD37MK

Cite

RIS / Bibtex

APA

Şahin, Y., & Boyukata, M. (2021). Description of even-even Ti isotopes within IBM-1 model. Cumhuriyet Science Journal, 42(1), 177-183. https://doi.org/10.17776/csj.856118

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IBM-1 Model ile çift-çift Fe İzotoplarının Nükleer Özelliklerinin İncelenmesi

Bitlis Eren Üniversitesi Fen Bilimleri Dergisi

https://doi.org/10.17798/bitlisfen.848560