Linearized Uehling--Uhlenbeck equation for high energy nucleus--nucleus collisions

Journal Article · Wed Jan 01 00:00:00 EST 1986 · Ann. Phys. (N.Y.); (United States)

DOI:https://doi.org/10.1016/0003-4916(86)90055-2· OSTI ID:6090903

Mies, S; Schuermann, B

To calculate the nucleon inclusive spectra obtained from high energy heavy ion collisions, we derive a linearized form of the Uehling--Uhlenbeck equation. The solution of this equation is given by a sum of multiple collision contributions each of which in the eikonal approximation factorizes in a geometrical and a dynamical part. To a good approximation the dynamical part turns out, for collision numbers larger than one, and in the eikonal approximation, to be the solution of a Fokker--Planck-type transport equation. The momentum distribution after the first collision is determined by quasi free nucleon--nucleon scattering. This quasifree component is, compared to the corresponding result obtained with the classical Boltzmann equation, in certain kinematical regions strongly suppressed due to Pauli blocking. It is shown that this suppression is still appreciable in the nucleon inclusive cross section.

• Research Organization: Physik-Department, Technische Universitaet Muenchen, D-8046 Garching, West Germany
• OSTI ID: 6090903
• Journal Information: Ann. Phys. (N.Y.); (United States), Vol. 166:1
• Country of Publication: United States
• Language: English

Related Subjects

73 NUCLEAR PHYSICS AND RADIATION PHYSICS
HEAVY ION REACTIONS
EIKONAL APPROXIMATION
INCLUSIVE INTERACTIONS
CROSS SECTIONS
FOKKER-PLANCK EQUATION
NUCLEONS
PAULI PRINCIPLE
QUASI-FREE REACTIONS
BARYONS
CHARGED-PARTICLE REACTIONS
DIFFERENTIAL EQUATIONS
DIRECT REACTIONS
ELEMENTARY PARTICLES
EQUATIONS
FERMIONS
HADRONS
INTERACTIONS
NUCLEAR REACTIONS
PARTIAL DIFFERENTIAL EQUATIONS
PARTICLE INTERACTIONS
653003* - Nuclear Theory- Nuclear Reactions & Scattering