"Beat" patterns for the odd-even staggering in octupole bands from a quadrupole-octupole Hamiltonian

Details "Beat" patterns for the odd-even staggering in octupole bands from a quadrupole-octupole Hamiltonian "Beat" patterns for the odd-even staggering in octupole bands from a quadrupole-octupole Hamiltonian

2001-06-05

arxiv.org/abs/nucl-th/0106008v1

Phys. Rev. C 63 (2001) 044305

Physics

Nuclear Physics

Nuclear Theory

LaTeX, 20 pages plus 12 figures given in separate .ps files

Scientific paper

10.1103/PhysRevC.63.044305

We propose a collective Hamiltonian which incorporates the standard quadrupole terms, octupole terms classified according to the irreducible representations of the octahedron group, a quadrupole-octupole interaction, as well as a term for the bandhead energy linear in K (the projection of angular momentum on the body-fixed z-axis). The energy is subsequently minimized with respect to K for each given value of the angular momentum I, resulting in K values increasing with I within each band, even in the case in which K is restricted to a set of microscopically plausible values. We demonstrate that this Hamiltonian is able to reproduce a variety of ``beat'' patterns observed recently for the odd-even staggering in octupole bands of light actinides.

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