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Sequence of potentials lying between the U(5) and X(5) symmetries

2004
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Physical Review C
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Starting from the original collective Hamiltonian of Bohr and separating the beta and gamma variables as in the X(5) model of Iachello, an exactly soluble model corresponding to a harmonic oscillator potential in the beta-variable (to be called X(5)-β^2) is constructed. Furthermore, it is proved that the potentials of the form β^2n (with n being integer) provide a "bridge" between this new X(5)-β^2 model (occuring for n=1) and the X(5) model (corresponding to an infinite well potential in the

doi:10.1103/physrevc.69.014302
fatcat:rd7z3sfqdfeclhktiom3preayi