Research Article

Description of 2_3^+, 0_3^+Intruder States in 130Xe Nucleus by Mixing of Transitional Hamiltonian and O(6) Casimir Operator

Volume: 44 Number: 1 March 26, 2023
EN

Description of 2_3^+, 0_3^+Intruder States in 130Xe Nucleus by Mixing of Transitional Hamiltonian and O(6) Casimir Operator

Abstract

In this paper, we tried to describe the , intruder stats in 130Xe nucleus in a configuration mixing framework. To this aim, we have used a transitional Hamiltonian based in the affine SU(1,1) lie algebra in the framework of interacting boson model. Also, we perturbed this Hamiltonian in the version 2 with adding a new term, the O(6) Casimir operator, due to the nature of these intruder states. The results confirm the accuracy of this mixing configuration in the description of all considered energy levels and especially, the intruder states. Also, these results suggest same approach with adding other Casimir operators of different symmetry chains to extend the ability of this transitional Hamiltonian.

Keywords

References

  1. [1] Heyde K., Jolie J., Phase transitions versus shape coexistence, Physical Review. C., 69(2004) 054304-36.
  2. [2] Heyde K., Wood J., Shape coexistence in atomic nuclei, Reviews of Modern Physics., 83 (2011)1467-1655.
  3. [3] Garcia-Ramos J.,Heyde K., Nuclear shape coexistence: A study of the even-even Hg isotopes using the interacting boson model with configuration mixing, Physical Review. C, 89 (2014) 014306-48.
  4. [4] Nomura K., Otsuka T., Shape coexistence in the microscopically guided interacting boson model, Journal of Physics. G.,43 (2016) 024008- 2.
  5. [5] Fossion F.,Shape Coexistence in the Lead Isotopes Using Algebraic Models, Acta Physica Polonica. B., 36 (2005) 1351-1360.
  6. [6] Fossion R., Heyde K., Intruder bands and configuration mixing in lead isotopes, Physical Review.C., 67 (2003) 024306.
  7. [7] Van Isacker P., Particle-hole excitations in the interacting boson model (IV). The U(5)-SU(3) coupling, Nuclear Physics. A. ,651(1999) 31-55
  8. [8] Garcia-Ramose J.E.,Heyde K., Disentangling the nuclear shape coexistence in even-even Hg isotopes using the interacting boson model, EPJ Web of Conferences., 93 (2015) 01004.

Details

Primary Language

English

Subjects

Classical Physics (Other)

Journal Section

Research Article

Publication Date

March 26, 2023

Submission Date

October 24, 2022

Acceptance Date

March 13, 2023

Published in Issue

Year 2023 Volume: 44 Number: 1

APA
Jahangiri Tazekand, Z., & Sabri, H. (2023). Description of 2_3^+, 0_3^+Intruder States in 130Xe Nucleus by Mixing of Transitional Hamiltonian and O(6) Casimir Operator. Cumhuriyet Science Journal, 44(1), 218-223. https://doi.org/10.17776/csj.1193669

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