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Title: From quantal multiple scattering theory to a classical transport equation--A soluble model for nucleon-nucleus and nucleus-nucleus collisions at high energy

Abstract

Several ad hoc models describe inelastic nucleon-nucleus and nucleus-nucleus collisions at high energy. Why do they work and how are they related We investigate this question by studying an exactly soluble model. It is based on Glauber's multiple scattering approach. The following results are derived and discussed: (1) The inclusive cross section for the observation of one nucleon is the space integral of a Wigner transform. (2) The Wigner transform obeys a classical transport equation. (3) The equation is equivalent to the Boltzmann equation at high energy. (4) The interpenetration of two nuclei is viewed as a diffusion phenomenon governed by a Fokker-Planck equation. (5) Hydrodynamic equations are shown to yield approximate solutions to the transport equation. (6) A kind of thermal equilibrium is quickly reached in a nuclear collision process. (7) The equilibrium equation of state corresponds to an ideal gas with two degrees of freedom.

Authors:
Publication Date:
Research Org.:
Institut fuer Theoretische Physik der Universitaet und Max-Planck-Institut fuer Kernphysik, Heidelberg, Germany (F.R.G.)
OSTI Identifier:
6358864
Resource Type:
Journal Article
Journal Name:
Ann. Phys. (N.Y.); (United States)
Additional Journal Information:
Journal Volume: 115:1
Country of Publication:
United States
Language:
English
Subject:
73 NUCLEAR PHYSICS AND RADIATION PHYSICS; GLAUBER THEORY; NUCLEON REACTIONS; HYDRODYNAMIC MODEL; INCLUSIVE INTERACTIONS; BOLTZMANN EQUATION; CROSS SECTIONS; FOKKER-PLANCK EQUATION; MULTIPLE SCATTERING; BARYON REACTIONS; DIFFERENTIAL EQUATIONS; EQUATIONS; HADRON REACTIONS; INTERACTIONS; MATHEMATICAL MODELS; NUCLEAR REACTIONS; PARTICLE INTERACTIONS; PARTICLE MODELS; SCATTERING; STATISTICAL MODELS; THERMODYNAMIC MODEL; 653003* - Nuclear Theory- Nuclear Reactions & Scattering

Citation Formats

Huefner, J. From quantal multiple scattering theory to a classical transport equation--A soluble model for nucleon-nucleus and nucleus-nucleus collisions at high energy. United States: N. p., 1978. Web. doi:10.1016/0003-4916(78)90174-4.
Huefner, J. From quantal multiple scattering theory to a classical transport equation--A soluble model for nucleon-nucleus and nucleus-nucleus collisions at high energy. United States. https://doi.org/10.1016/0003-4916(78)90174-4
Huefner, J. 1978. "From quantal multiple scattering theory to a classical transport equation--A soluble model for nucleon-nucleus and nucleus-nucleus collisions at high energy". United States. https://doi.org/10.1016/0003-4916(78)90174-4.
@article{osti_6358864,
title = {From quantal multiple scattering theory to a classical transport equation--A soluble model for nucleon-nucleus and nucleus-nucleus collisions at high energy},
author = {Huefner, J},
abstractNote = {Several ad hoc models describe inelastic nucleon-nucleus and nucleus-nucleus collisions at high energy. Why do they work and how are they related We investigate this question by studying an exactly soluble model. It is based on Glauber's multiple scattering approach. The following results are derived and discussed: (1) The inclusive cross section for the observation of one nucleon is the space integral of a Wigner transform. (2) The Wigner transform obeys a classical transport equation. (3) The equation is equivalent to the Boltzmann equation at high energy. (4) The interpenetration of two nuclei is viewed as a diffusion phenomenon governed by a Fokker-Planck equation. (5) Hydrodynamic equations are shown to yield approximate solutions to the transport equation. (6) A kind of thermal equilibrium is quickly reached in a nuclear collision process. (7) The equilibrium equation of state corresponds to an ideal gas with two degrees of freedom.},
doi = {10.1016/0003-4916(78)90174-4},
url = {https://www.osti.gov/biblio/6358864}, journal = {Ann. Phys. (N.Y.); (United States)},
number = ,
volume = 115:1,
place = {United States},
year = {Fri Sep 15 00:00:00 EDT 1978},
month = {Fri Sep 15 00:00:00 EDT 1978}
}