Classical-equations-of-motion calculations of high-energy heavy-ion collisions

Journal Article · Mon Sep 01 00:00:00 EDT 1980 · Phys. Rev., C; (United States)

DOI:https://doi.org/10.1103/PhysRevC.22.1025· OSTI ID:5158209

Bodmer, A R; Panos, C N; MacKellar, A D

Results are obtained with the classical-equations-of-motion approach which provides a complete microscopic, classical, description including finite-range interaction effects. Nonrelativistic classical-equations-of-motion calculations are made for equal mass projectile and target nuclei with A/sub P/=A/sub T/=20 (Ne+Ne) at laboratory energies per projectile nucleon of E/sub L/=117, 400, and 800 MeV and at 400 MeV for A/sub P/=A/sub T/=40 (Ca+Ca). A static two-body potential V/sub st/ is used which is fitted to the sin/sup 2/theta weighted differential cross section. For A/sub P/=A/sub T/=20 we also use a scattering equivalent momentum dependent potential V/sub tr/. V/sub st/ and V/sub tr/ give identical two-body scattering but are not equivalent for many-body scattering and are used to test for finite-range interaction effects in heavy-ion collisions. The evolution of central collisions is discussed. For these multiple scattering is large. Dissipation quite generally is larger at lower energies and is appreciable during the expansion phase of central collisions.There are very appredistribLimitationsiable differences in the densities, potential energies, and distributions between V/sub st/ and V/sub tr/ during the strong interaction stage. However, the final distributions are not significantly different. For A/sub P/=A/sub T/=40 at 400 MeV a transverse peaking develops in the momentum different. Noncentral collisions show typical nonequilibrium features and for larger impact parameters the final distributions show a strong single scattering component. This is true also of the impact parameter averaged distributions. Limitations and extensions of the classical-equations-of-motion approach are discussed. In particular we propose a new kinetic equation which includes finite-range interaction effects. Relativistic classical-equations-of-motion calculations to O(v/sup 2//c/sup 2/) are briefly discussed.

• Research Organization: Argonne National Laboratory, Argonne, Illinois 60439 and University of Illinois at Chicago Circle, Chicago, Illinois 60680
• DOE Contract Number: W-31-109-ENG-38
• OSTI ID: 5158209
• Journal Information: Phys. Rev., C; (United States), Vol. 22:3
• Country of Publication: United States
• Language: English

Related Subjects

73 NUCLEAR PHYSICS AND RADIATION PHYSICS
CALCIUM 40 REACTIONS
CALCIUM 40 TARGET
HEAVY ION REACTIONS
EQUATIONS OF MOTION
NEON 20 REACTIONS
NEON 20 TARGET
CLASSICAL MECHANICS
DIFFERENTIAL CROSS SECTIONS
FINITE-RANGE INTERACTIONS
GEV RANGE 01-10
GEV RANGE 10-100
HARTREE-FOCK METHOD
MANY-BODY PROBLEM
MULTIPLE SCATTERING
NUCLEAR POTENTIAL
NUCLEAR REACTION KINETICS
NUCLEON-NUCLEON INTERACTIONS
QUANTUM MECHANICS
RELATIVISTIC RANGE
BARYON-BARYON INTERACTIONS
CHARGED-PARTICLE REACTIONS
CROSS SECTIONS
DIFFERENTIAL EQUATIONS
ENERGY RANGE
EQUATIONS
GEV RANGE
HADRON-HADRON INTERACTIONS
INTERACTIONS
KINETICS
MECHANICS
NUCLEAR REACTIONS
PARTICLE INTERACTIONS
POTENTIALS
REACTION KINETICS
SCATTERING
TARGETS
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A=20-38
Theoretical- Nuclear Reactions & Scattering- (-1987)
651515 - Nuclear Properties & Reactions
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