Remarcs on the shape transition from spherical to deformed gamma unstable nuclei

Abstract

Energies and transition probabilities for low lying states in ${}^{134}$Ba and $^{104$Ru were calculated within a hybrid model.The ground and the first $2^{+}$ states are described alternatively as a harmonic and anharmonic vibrator states while the remaining states as states with E(5) symmetry. One concludes that a gradual setting of the 'critical' potential yields a better agreement with the experimental data. Very good agreement with the data is obtained for ${}^{104}$Ru. Comparing the present results with those of E(5) symmetry, it is conspicuous that the present formalism add corrections to the E(5) formalism by bringing the predictions closer to the experimental data. Analytical relationship between the states with U(5) symmetry and those given by the E(5) description is established.

arXiv comment21 pages, 3 figures, submitted for publication

References in corpus (4)

• Analytically solvable potentials for $\gamma$-unstable nuclei
• The U(5)-O(6) transition in the Interacting Boson Model and the E(5) critical point symmetry
• Description of even-even triaxial Nuclei within the Coherent State and the Triaxial Rotation-Vibration Models
• Unified description of three positive and three negative parity interacting bands

Cited by in corpus (8)

• Application of the sextic oscillator with centrifugal barrier and the spheroidal equation for some X(5) candidate nuclei
• The fractional symmetric rigid rotor
• Description of the isotope chain ${}^{180-196}$Pt within some solvable approaches
• q-deformed Lie algebras and fractional calculus
• Common aspects of q-deformed Lie algebras and fractional calculus
• A solvable model which has X(5) as a limiting symmetry and removes some inherent drawbacks
• A new approach for the wobbling motion in the even-odd isotopes ${}^{161,163,165,167}$Lu
• Phenomenological description of the states $0^{+}$ and $2^{+}$ in some even-even nuclei