Spectrum Generating Algebra for X${}_3$ Molecules

Abstract

A new spectrum generating algebra for a unified description of rotations and vibrations in polyatomic molecules is introduced. An application to nonlinear X${}_3$ molecules shows that this model (i) incorporates exactly the relevant point group, (ii) provides a complete classification of oblate top states, and (iii) treats properly both degenerate and nondegenerate vibrations.

15 pages, to appear in Physical Review A

Cited by in corpus (15)

• Evidence for Triangular D_3h Symmetry in 12C
• Unambiguous Identification of the Second 2+ State in 12C and the Structure of the Hoyle State
• The algebraic cluster model. Three-body clusters
• Cluster states in nuclei as representations of a U(n+1) group
• The Algebraic Cluster Model: Structure of 16O
• Electromagnetic selection rules in the triangular alpha-cluster model of 12C
• Transition densities and form factors in the triangular $\alpha$-cluster model of ${}^{12}$C with application to ${}^{12}$C+$\alpha$ scattering
• Geometrical symmetries of nuclear systems: D(3h) and T(d) symmetries in light nuclei
• Alpha-induced inelastic scattering and alpha-transfer reactions in ${}^{12}$C and ${}^{16}$O within the Algebraic Cluster Model
• Algebraic description of anharmonic stretching vibrations
• Overtone spectra and intensities of tetrahedral molecules in boson-realization models
• Algebraic approach to vibrational spectra of tetrahedral molecules: a case study of silicon tetrafluoride
• The algebraic molecular model in ${}^{12}$C and its application to the $\alpha$+${}^{12}$C scattering: from densities and transition densities to optical potentials and nuclear formfactors
• Spectrum generating algebra of the symmetric top
• Algebraic cluster models calculations for shape phase transitions of boson-fermion systems