Sequence of Potentials Interpolating between the U(5) and E(5) Symmetries

Dennis Bonatsos, D. Lenis, N. Minkov +2

It is proved that the potentials of the form ${\beta }^{2n}$ (with $n$ being integer) provide a ``bridge'' between the U(5) symmetry of the Bohr Hamiltonian with a harmonic oscillator pot…