N. Minkov

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

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)-

Delta I=4 and Delta I=8 bifurcations in rotational bands of diatomic molecules.

beta^2

Ground-γband coupling in heavy deformed nuclei and SU(3) contraction limit

) is constructed. Furthermore, it is proved that the potentials of the form

Erratum:ΔI=1staggering in octupole bands of light actinides: “Beat” patterns [Phys. Rev. C62, 024301 (2000)]

beta^{2n}

Highest weight SU(3) irreducible representations for nuclei with shape coexistence.

(with n being integer) provide a ``bridge between this new X(5)-

Nucleon numbers for nuclei with shape coexistence.

beta^2

Why do Nilsson quantum numbers remain good at moderate deformations

model (occuring for n=1) and the X(5) model (corresponding to an infinite well potential in the beta-variable, materialized for n going to infinity. Parameter-free (up to overall scale factors) predictions for spectra and B(E2) transition rates are given for the potentials

Particle-hole symmetry breaking due to Pauli blocking.

beta^2

Parameter-independent predictions for shape variables of heavy deformed nuclei in the proxy-SU(3) model

,

Prolate dominance and prolate-oblate shape transition in the proxy-SU(3) model

beta^4