The exact description of intruder states in $^{112}$Cd nucleus by using a mixing formalism based on $SU(1,1)$ transitional Hamiltonian and $O(6)$-Casimir operator

M. Rastgar; H. Sabri; A. O. Ezzati

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arXiv · 2301.02463

The exact description of intruder states in $^{112}$Cd nucleus by using a mixing formalism based on $SU(1,1)$ transitional Hamiltonian and $O(6)$-Casimir operator

M. Rastgar·H. Sabri·A. O. Ezzati

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Abstract

In this paper, we used a transitional Hamiltonian which has $U(5)\leftrightarrow(6)$ transition to improve theoretical predictions for energy spectra and quadrupole transition rates of $^{112}$Cd nucleus. To this aim, the transitional Hamiltonian in the affine $SU(1,1)$ algebra has been extended by adding the $O(6)$-Casimir operator and mixing Hamiltonian to increase exactness in the description of 4$^+_2$ and 2$^+_3$ intruder levels of this nucleus. We also considered the wave functions of both regular and intruder states, as a combination in the $N$ and $N+2$ boson spaces. The results confirm the advantages of using such mixing approaches and describing the energy and transition rates with high accuracy

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M. Rastgar, H. Sabri, A. O. Ezzati. 2023-01-06. The exact description of intruder states in $^{112}$Cd nucleus by using a mixing formalism based on $SU(1,1)$ transitional Hamiltonian and $O(6)$-Casimir operator. https://arxiv.org/abs/2301.02463

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