Chaotic behavior in the cranking and particles-rotor models

Journal Article · Sun Oct 01 04:00:00 EDT 1995 · Physical Review, C

DOI:https://doi.org/10.1103/PhysRevC.52.1818· OSTI ID:118481

Kruppa, A T; Pal, K F ^[1]; Rowley, N ^[2]

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1. Institute of Nuclear Research, H-4001 Debrecen, P.O. Box 51 (Hungary)
2. Department of Physics and Astronomy, University of Manchester, Manchester M13 9PL (United Kingdom)

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 {ital i}{sub 13/2} 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.

• OSTI ID: 118481
• Journal Information: Physical Review, C, Journal Name: Physical Review, C Journal Issue: 4 Vol. 52; ISSN PRVCAN; ISSN 0556-2813
• Country of Publication: United States
• Language: English

Related Subjects

66 PHYSICS
CRANKING MODEL
DISTRIBUTION
ENERGY LEVELS
HAMILTONIANS
MANY-BODY PROBLEM
NUCLEAR DEFORMATION
QUADRUPOLES
ROTATIONAL STATES
ROTORS
SPIN