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

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

2005-12-06

arxiv.org/abs/nucl-th/0512017v1

Phys.Lett. B633 (2006) 474-478

Physics

Nuclear Physics

Nuclear Theory

11 pages, LaTeX, including 5 .eps figures

Scientific paper

10.1016/j.physletb.2005.12.016

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.

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