Chaotic behavior in the cranking and particles-rotor models

A. Kruppa, K. Pál, N. Rowley

Research output: Contribution to journalArticle

12 Citations (Scopus)

Abstract

We investigate the consequences on the order/chaos transition of replacing the scalar rotational energy of the particles-rotor model by a one-body cranking term. The nearest-neighbor distribution of energy levels and the spectral rigidity are studied as a function of the spin or cranking frequency, respectively. Exact energies for our statistical analyses are obtained from a full diagonalization of a many-body Hamiltonian with two-body forces for six particles in an i13/2 shell coupled to a deformed core. In this model, the competing physical effects (two-body interaction strength, quadrupole deformation, and moment of inertia) are easily parametrized and studied. The dependence of the chaoticity on model parameters reveals the stabilizing influence of a large quadrupole deformation. For low spins, the considerable effects of the (effectively two-body) recoil term give significant differences between the two descriptions.

Original languageEnglish
Pages (from-to)1818-1826
Number of pages9
JournalPhysical Review C - Nuclear Physics
Volume52
Issue number4
DOIs
Publication statusPublished - 1995

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rotors
quadrupoles
moments of inertia
rigidity
chaos
energy levels
scalars
energy
interactions

ASJC Scopus subject areas

  • Physics and Astronomy(all)
  • Nuclear and High Energy Physics

Cite this

Chaotic behavior in the cranking and particles-rotor models. / Kruppa, A.; Pál, K.; Rowley, N.

In: Physical Review C - Nuclear Physics, Vol. 52, No. 4, 1995, p. 1818-1826.

Research output: Contribution to journalArticle

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