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.
Bolotin, Yu L;
Gonchar, V Yu;
Chekanov, N A;
[1]
Vinitskij, S I
[2]
- AN Ukrainskoj SSR, Kharkov (Ukrainian SSR). Fiziko-Tekhnicheskij Inst.
- Joint Inst. for Nuclear Research, Dubna (USSR)
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 = []
volume = {50:6}
journal type = {AC}
place = {USSR}
year = {1989}
month = {Jan}
}
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 = []
volume = {50:6}
journal type = {AC}
place = {USSR}
year = {1989}
month = {Jan}
}