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Nearest neighbor spacing distributions of low-lying levels of vibrational nuclei
Faculty
Science
Year:
1996
Type of Publication:
Article
Pages:
1675-1680
Authors:
SIMBEL, MH, ABULMAGD, AY
DOI:
10.1103/PhysRevC.54.1675
Journal:
PHYSICAL REVIEW C AMERICAN PHYSICAL SOC
Volume:
54
Research Area:
Physics
ISSN
ISI:A1996VM26900022
Keywords :
Nearest neighbor spacing distributions , low-lying levels
Abstract:
Energy-level statistics are considered for nuclei whose Hamiltonian is divided into intrinsic and collective-vibrational terms. The levels are described as a random superposition of independent sequences, each corresponding to a given number of phonons. The intrinsic motion is assumed chaotic. The level spacing distribution is found to be intermediate between the Wigner and Poisson distributions and similar in form to the spacing distribution of a system with classical phase space divided into separate regular and chaotic domains. We have obtained approximate expressions for the nearest neighbor spacing and cumulative spacing distribution valid when the level density is described by a constant-temperature formula and not involving additional free parameters. These expressions have been able to achieve good agreement with the experimental spacing distributions.
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