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Analytical Special Solutions of the Bohr Hamiltonian
D. Bonatsos, D. Lenis, D. Petrellis +2
The following special solutions of the Bohr Hamiltonian are briefly described: 1) Z(5) (approximately separable solution in five dimensions with gamma close to 30 degrees), 2) Z(4)…
Parameter-Free Solution of the Bohr Hamiltonian for Actinides Critical in the Octupole Mode
D. Lenis, Dennis Bonatsos
An analytic, parameter-free (up to overall scale factors) solution of the Bohr Hamiltonian involving axially symmetric quadrupole and octupole deformations, as well as an infinite…
X(3): An Exactly Separable Gamma-Rigid Version of the X(5) Critical Point Symmetry
Dennis Bonatsos, D. Lenis, D. Petrellis +2
A gamma-rigid version (with gamma=0) of the X(5) critical point symmetry is constructed. The model, to be called X(3) since it is proved to contain three degrees of freedom, utiliz…
Gamma-rigid solution of the Bohr Hamiltonian for gamma = 30 degrees compared to the E(5) critical point symmetry
Dennis Bonatsos, D. Lenis, D. Petrellis +2
A gamma-rigid solution of the Bohr Hamiltonian for gamma = 30 degrees is derived, its ground state band being related to the second order Casimir operator of the Euclidean algebra…
Analytic Description of Critical Point Actinides in a Transition from Octupole Deformation to Octupole Vibrations
Dennis Bonatsos, D. Lenis, N. Minkov +2
An analytic collective model in which the relative presence of the quadrupole and octupole deformations is determined by a parameter (phi_0), while axial symmetry is obeyed, is dev…