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UNIVERSITY OF BUCHAREST
FACULTY OF PHYSICS Guest
2024-11-24 22:14 |
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Conference: Bucharest University Faculty of Physics 2005 Meeting
Section: Nuclear and Elementary Particles Physics
Title:
Geometrical correction of Liapunov function. Stability study for quark systems
Authors:
Ioan Valeriu Grossu, Calin Besliu, Alexandru Jipa
Affiliation:
Faculty of Physics
E-mail
iv_grossu@yahoo.com
Keywords:
chaos QGP quark
Abstract:
To avoid "geometrical variation" of Liapunov function, we considered its values only in points of intersection with a bi-dimensional subspace (only for points corresponding to a Poincare map).
For quark systems, we used bi-particle potential and considered, for each particle, the potential as a contribution of all other particles of the system. Thus we obtain a potential barrier with irregular oscillations.
Harmonic potential is the only one (of all studied) according with proton stability. Closing trajectories condition (Lissajous) for proton:
Because these values do not satisfy the closing condition for d,d,u quark configuration, we obtain a stable neutron, but with a higher degree of disorder (seen in all parameters Corrected Liapunov Function, Reversibility Coefficient, Fractal Dimension) . For pentaquark, the disorder is also higher than in neutron case.
To explain also pentaquark life time, one can consider other terms in bi-particle potential. For example:
With a bi-particle potential in good accord with proton, neutron and pentaquark stabilities, we can analyze evolution of systems with a higher number of quarks, at a given temperature.
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