U(5) and O(6) shape phase transitions via E(5) inverse square potential solutions
Department of Physics, University of Ilorin, Ilorin, Kwara State, Nigeria
Accepted: 16 April 2021
Published online: 6 May 2021
The inverse square potential is used to provide the ‘pictures’ of the transitions symmetry from U(5) to O(6) via the variational procedure of the E(5) solutions. The variation of the single-parameter of the inverse square potential shifts the E(5) solutions: the energy eigenvalues increase when increases. In the theoretical prediction of , yields solutions that correspond to the U(5) symmetry of the Bohr Hamiltonian with . As increases, the solutions of E(5) materialize with at . The solutions leave E(5) and approach O(6) with at . The solutions of and of the E(5) symmetry candidates are fitted and compared with the available experimental values. With the same variational method, the ratios of B(E2) transition rates within the ground state leave O(6) and approach E(5) solution as increases.
© The Author(s), under exclusive licence to Società Italiana di Fisica and Springer-Verlag GmbH Germany, part of Springer Nature 2021