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Dynamical chaos in a linear 3. alpha. system. Dinamicheskij khaos v linejnoj 3. alpha. -sisteme

Journal Article:

Abstract

Classical dynamics of the motion of a molecular model of the carbon nucleus, which is a linear 3{alpha} system with realistic {alpha}{alpha} interaction is studied. Transition from a regular to a chaos motion in the nuclear molecule is shown to occur with growing energy more rapidly than in model problems with polynomial potentials. It is found that in a small region of the phase space the motion remains regular at energies higher than the 3{alpha}-system dissociation threshold. This is probably related to the C{sub 3v}-symmetry violation. Formulas for the quasiclassical spectrum of the 3{alpha} system are obtained with the use of the Birkhoff normal form.
Authors:
Bolotin, Yu L; Gonchar, V Yu; Chekanov, N A; [1]  Vinitskij, S I [2] 
  1. AN Ukrainskoj SSR, Kharkov (Ukrainian SSR). Fiziko-Tekhnicheskij Inst.
  2. Joint Inst. for Nuclear Research, Dubna (USSR)
Publication Date:
Jan 01, 1989
Product Type:
Journal Article
Reference Number:
AIX-22-007372; EDB-91-013602
Resource Relation:
Journal Name: Yadernaya Fizika; (USSR); Journal Volume: 50:6
Subject:
73 NUCLEAR PHYSICS AND RADIATION PHYSICS; CARBON 12; ALPHA PARTICLES; ALPHA REACTIONS; ENERGY SPECTRA; HAMILTONIANS; HELIUM 4 TARGET; NUCLEAR MOLECULES; POTENTIAL ENERGY; QUANTIZATION; SEMICLASSICAL APPROXIMATION; SKYRME POTENTIAL; STOCHASTIC PROCESSES; THREE-BODY PROBLEM; TIME DEPENDENCE; CARBON ISOTOPES; CHARGED PARTICLES; CHARGED-PARTICLE REACTIONS; ENERGY; EVEN-EVEN NUCLEI; ISOTOPES; LIGHT NUCLEI; MANY-BODY PROBLEM; MATHEMATICAL OPERATORS; NUCLEAR REACTIONS; NUCLEI; NUCLEON-NUCLEON POTENTIAL; POTENTIALS; QUANTUM OPERATORS; SPECTRA; STABLE ISOTOPES; TARGETS; 653001* - Nuclear Theory- Nuclear Structure, Moments, Spin, & Models
OSTI ID:
6431841
Country of Origin:
USSR
Language:
Russian
Other Identifying Numbers:
Journal ID: ISSN 0044-0027; CODEN: IDFZA
Submitting Site:
INIS
Size:
Pages: 1563-1570
Announcement Date:

Journal Article:

Citation Formats

Bolotin, Yu L, Gonchar, V Yu, Chekanov, N A, and Vinitskij, S I. Dynamical chaos in a linear 3. alpha. system. Dinamicheskij khaos v linejnoj 3. alpha. -sisteme. USSR: N. p., 1989. Web.
Bolotin, Yu L, Gonchar, V Yu, Chekanov, N A, & Vinitskij, S I. Dynamical chaos in a linear 3. alpha. system. Dinamicheskij khaos v linejnoj 3. alpha. -sisteme. USSR.
Bolotin, Yu L, Gonchar, V Yu, Chekanov, N A, and Vinitskij, S I. 1989. "Dynamical chaos in a linear 3. alpha. system. Dinamicheskij khaos v linejnoj 3. alpha. -sisteme." USSR.
@misc{etde_6431841,
title = {Dynamical chaos in a linear 3. alpha. system. Dinamicheskij khaos v linejnoj 3. alpha. -sisteme}
author = {Bolotin, Yu L, Gonchar, V Yu, Chekanov, N A, and Vinitskij, S I}
abstractNote = {Classical dynamics of the motion of a molecular model of the carbon nucleus, which is a linear 3{alpha} system with realistic {alpha}{alpha} interaction is studied. Transition from a regular to a chaos motion in the nuclear molecule is shown to occur with growing energy more rapidly than in model problems with polynomial potentials. It is found that in a small region of the phase space the motion remains regular at energies higher than the 3{alpha}-system dissociation threshold. This is probably related to the C{sub 3v}-symmetry violation. Formulas for the quasiclassical spectrum of the 3{alpha} system are obtained with the use of the Birkhoff normal form.}
journal = {Yadernaya Fizika; (USSR)}
volume = {50:6}
journal type = {AC}
place = {USSR}
year = {1989}
month = {Jan}
}