Particle-Particle Collective Excitations of Sn isotopes

  • Ali H. Taqi Department of Physics, College of Science, Kirkuk University, Kirkuk, Iraq
  • Fahema A. Saber Department of Physics, College of Science, Kirkuk University, Kirkuk, Iraq
Keywords: Collective excitations, Energy-level schemes, Particle-particle Random Phase Approximation, Particle-particle Tamm-Dancoff Approximation


In this paper, energy-level schemes and reduced electric transition strengths of neutron-rich Tin isotopes 102, 110, 116, 120, 122Sn (Z=50) are studied using collective models, that is, particle-particle Tamm-Dancoff Approximation and particle-particle Random Phase Approximation. According to these models, the excited states of closed-core A+2 systems with multipolarity J and isospin T can be described as a linear combination of particle-particle pairs. In our investigation, the low-lying states of the investigated isotopes 102, 110, 116, 120, 122Sn are described by acting two-particle operators on a correlated core 100Sn, 108Sn, 114Sn, 118Sn, and 120Sn, respectively. The Hamiltonian is diagonalized within the model space include {1g7/2, 2d5/2, 2d3/2, 3s1/2 and 1h11/2} orbits, using the matrix elements of neutron-neutron interaction and modified surface delta interaction. The calculated values are checked by using the resultant eigenvalues and eigenvectors to calculate the excitation energies and reduced electric transition strengths. Our calculated results are compared to the available experimental data, and these comparisons led to reasonable agreements. Effective charges are also used to account for the core polarization effect.


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Author Biographies

Ali H. Taqi, Department of Physics, College of Science, Kirkuk University, Kirkuk, Iraq

Ali H. Taqi is a Professor at the Department of Physics, College of Science, Kirkuk University. He got the B.Sc. degree in Physics, the M.Sc. degree in Microwaves and Antennas and the Ph.D. degree in Nuclear Physics. His research interests are in Theoretical and Experimental Nuclear Physics. Dr. Ali is a member of a number of committees in the Kirkuk University and Iraqi Ministry of Higher Education and Scientific Research.

Fahema A. Saber, Department of Physics, College of Science, Kirkuk University, Kirkuk, Iraq

Fahema A. Saber is an M.Sc. Student at the Department of Physics, College of Science, Kirkuk University. She got the B.Sc. degree in Physics. Her research interests are in Theoretical Nuclear Physics.iversity. She got the B.Sc. degree in Physics. Her research interests are in Theoretical Nuclear Physics.



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How to Cite
Taqi, A. H. and Saber, F. A. (2023) “Particle-Particle Collective Excitations of Sn isotopes”, ARO-THE SCIENTIFIC JOURNAL OF KOYA UNIVERSITY, 11(2), pp. 38-42. doi: 10.14500/aro.11153.