Parameter-Free Solution of the Bohr Hamiltonian for Actinides Critical in the Octupole Mode

Abstract

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 well potential, is obtained, after separating variables in a way reminiscent of the Variable Moment of Inertia (VMI) concept. Normalized spectra and B(EL) ratios are found to agree with experimental data for 226-Ra and 226-Th, the nuclei known to lie closest to the border between octupole deformation and octupole vibrations in the light actinide region.

arXiv comment11 pages, LaTeX, including 5 .eps figures

References in corpus (4)

• Sequence of Potentials Lying Between the U(5) and X(5) Symmetries
• Analytic Description of Critical Point Actinides in a Transition from Octupole Deformation to Octupole Vibrations
• Soft triaxial roto-vibrational motion in the vicinity of $\gamma =\pi /6$
• Description of nuclear octupole and quadrupole deformation close to the axial symmetry and phase transitions in the octupole mode

Cited by in corpus (15)

• Microscopic description of octupole shape-phase transitions in light actinides and rare-earth nuclei
• Microscopic analysis of the octupole phase transition in Th isotopes
• Simultaneous quadrupole and octupole shape phase transitions in Thorium
• Spectroscopy of quadrupole and octupole states in rare-earth nuclei from a Gogny force
• Description of nuclear octupole and quadrupole deformation close to the axial symmetry: Critical-point behavior of 224Ra and 224Th
• Octupole deformation in light actinides within an analytic quadrupole octupole axially symmetric model with Davidson potential
• Evolution of octupole deformation and collectivity in neutron-rich lanthanides
• Quadrupole-octupole coupling and the onset of octupole deformation in actinides
• Quadrupole-octupole coupling and the evolution of collectivity in neutron-deficient Xe, Ba, Ce, and Nd isotopes
• Octupole correlations in collective excitations of neutron-rich $N\approx 56$ nuclei
• The alternating-parity bands of \element{236,238}{U} and \element{238,240}{Pu} in a particle-number conserving method based on cranked shell model
• Simultaneous description of low-lying positive and negative parity bands in heavy even-even nuclei
• Electromagnetic Transition Strengths in Heavy Nuclei
• General formalism of collective motion for any deformed system
• Landscape of nuclear deformation softness with spherical quasi-particle random phase approximation