Study of phase transition of even and odd nuclei based on q-deforme SU(1,1) algebraic model

The q-deformed Hamiltonian for the SO(6)↔U(5) transitional case in s, d interaction boson model (IBM) can be constructed by using affine SUq(1,1) Lie algebra in the both IBM-1 and 2 versions and IBFM. In this research paper, we have studied the energy spectra of Xe120−128 isotopes and Xe123−131 isotopes and B(E2) transition probabilities of Xe120−128 isotopes in the shape phase transition region between the spherical and gamma unstable deformed shapes of the theory of quantum deformation. The theoretical results agree with the experimental data fairly well. It is shown that the q-deformed SO(6)↔U(5) transitional dynamical symmetry remains after deformation.