Poincare invariant Hamiltonian dynamics: Modelling multi-hadronic interactions in a phase space approach

Sorge, H; Stocker, H; Greiner, W

doi:10.1016/0003-4916(89)90136-X

Title: Poincare invariant Hamiltonian dynamics: Modelling multi-hadronic interactions in a phase space approach

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Abstract

A classical Poincare invariant particle dynamics is formulated in the framework of constraint Hamiltonian systems. This canonical formalism is compatible with physical requirements like world line invariance, cluster separability, causality principles, and a reasonable non-relativistic limit. In a microscopic phase space approach the classical propagation based on constraint dynamics is combined with some quantum effects like multiple two-body elastic and inelastic scattering to serve as a model for multi-hadronic interactions. This model which is dubbed relativistic quantum molecular dynamics'' is used to study relativistic nucleus--nucleus collisions. The results demonstrate the importance of collective motion, nuclear stopping, and secondary scattering. It is discussed whether global properties of hot, dense hadronic and quark matter---the equation of state and, in particular, the phase transition to a quark gluon plasma---can be probed in heavy ion collisions. {copyright} 1989 Academic Press, Inc.

Authors:

Sorge, H; Stocker, H; Greiner, W ^[1]

Institut fur Theoretische Physik, Johann Wolfgang Goethe-Universitat Frankfurt/Main, Germany (DE)

Publication Date:: Thu Jun 01 00:00:00 EDT 1989

OSTI Identifier:: 5471011

Resource Type:: Journal Article

Journal Name:: Annals of Physics (New York); (USA)

Additional Journal Information:: Journal Volume: 192:2; Journal ID: ISSN 0003-4916

Country of Publication:: United States

Language:: English

Subject:: 73 NUCLEAR PHYSICS AND RADIATION PHYSICS; 72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS; HADRON-HADRON INTERACTIONS; PARTICLE KINEMATICS; HEAVY ION REACTIONS; QUARK-GLUON INTERACTIONS; CLUSTER MODEL; COPPER; EQUATIONS OF STATE; GEV RANGE 100-1000; GOLD; HAMILTONIAN FUNCTION; NIOBIUM; OXYGEN; PHASE SPACE; PHASE TRANSFORMATIONS; POINCARE GROUPS; PROPAGATOR; SILICON; STOPPING POWER; TANTALUM; CHARGED-PARTICLE REACTIONS; ELEMENTS; ENERGY RANGE; EQUATIONS; FUNCTIONS; GEV RANGE; INTERACTIONS; LIE GROUPS; MATHEMATICAL MODELS; MATHEMATICAL SPACE; METALS; NONMETALS; NUCLEAR MODELS; NUCLEAR REACTIONS; PARTICLE INTERACTIONS; SEMIMETALS; SPACE; SYMMETRY GROUPS; TRANSITION ELEMENTS; 653003* - Nuclear Theory- Nuclear Reactions & Scattering; 645300 - High Energy Physics- Particle Invariance Principles & Symmetries

Citation Formats


                    Sorge, H, Stocker, H, and Greiner, W. Poincare invariant Hamiltonian dynamics: Modelling multi-hadronic interactions in a phase space approach.  United States: N. p., 1989. 
        Web.  doi:10.1016/0003-4916(89)90136-X.

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                    Sorge, H, Stocker, H, & Greiner, W. Poincare invariant Hamiltonian dynamics: Modelling multi-hadronic interactions in a phase space approach.  United States.  https://doi.org/10.1016/0003-4916(89)90136-X

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                    Sorge, H, Stocker, H, and Greiner, W. 1989.  
        "Poincare invariant Hamiltonian dynamics: Modelling multi-hadronic interactions in a phase space approach".  United States.  https://doi.org/10.1016/0003-4916(89)90136-X.

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@article{osti_5471011,

  title        = {Poincare invariant Hamiltonian dynamics: Modelling multi-hadronic interactions in a phase space approach},

  author       = {Sorge, H and Stocker, H and Greiner, W},

  abstractNote = {A classical Poincare invariant particle dynamics is formulated in the framework of constraint Hamiltonian systems. This canonical formalism is compatible with physical requirements like world line invariance, cluster separability, causality principles, and a reasonable non-relativistic limit. In a microscopic phase space approach the classical propagation based on constraint dynamics is combined with some quantum effects like multiple two-body elastic and inelastic scattering to serve as a model for multi-hadronic interactions. This model which is dubbed relativistic quantum molecular dynamics'' is used to study relativistic nucleus--nucleus collisions. The results demonstrate the importance of collective motion, nuclear stopping, and secondary scattering. It is discussed whether global properties of hot, dense hadronic and quark matter---the equation of state and, in particular, the phase transition to a quark gluon plasma---can be probed in heavy ion collisions. {copyright} 1989 Academic Press, Inc.},

  doi          = {10.1016/0003-4916(89)90136-X},

  url          = {https://www.osti.gov/biblio/5471011},
  journal      = {Annals of Physics (New York); (USA)},

  issn         = {0003-4916},

  number       = ,

  volume       = 192:2,

  place        = {United States},

  year         = {Thu Jun 01 00:00:00 EDT 1989},

  month        = {Thu Jun 01 00:00:00 EDT 1989}

}

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