Göttingen 1997 – wissenschaftliches Programm
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HK: Hadronen und Kerne
HK 40: Relativistische Schwerionenstöße VI
HK 40.2: Gruppenbericht
Mittwoch, 26. März 1997, 14:30–15:00, HS C
Virial corrections to the Landau theory of quasiparticle transport — •K. Morawetz1, V. Spička2, P. Lipavský2, W. Bauer3, and G. Kortemeyer3 — 1AG Quantentheorie und Vielteilchensysteme, FB Physik Universität Rostock, Universitätsplatz 3, D-18051 Rostock — 2Institute of Physics, Academy of Sciences, Cukrovarnická 10, 16200 Praha 6, Czech Republic — 3NSCL, Michigan State University, East Lansing, MI 48824-1321, USA
As currently demonstrated the nonlocal corrections to collision integrals in BUU simulations can have measurable effect on observables in heavy ion reactions [1]. These virial corrections to the Boltzmann equation for quasiparticles are derived now from non-equilibrium Green’s functions. These corrections are expressed in terms of shifts in space and time that characterize non-locality of the scattering integral [2]. The space shifts parallel finite-diameter corrections to collisions of hard spheres. The time shift is identified as the collision delay [3]. All shifts are given by derivatives of the phase shift in a binary collision [3]. The derived transport equation bears all features of the quasiparticle theory, the Landau-Boltzmann equation is recovered neglecting all shifts. Compared to the Landau-Boltzmann equation, the presented form of virial corrections only slightly increases the numerical demands in implementations. Consequences on current BUU- simulations are discussed and the results for heavy ion simulations are presented [4].
[1] G. Kortemeyer, F. Daffin, W. Bauer, Phys. Lett. B 374, 25 (1996).
[2] P. Danielewicz and S. Pratt, Phys. Rev. C 53, 249 (1996).
[3] V. Špička, P. Lipavský, and K. Morawetz, Phys. Rev. Lett., sub.,Phys. Rev. B (1996), in press.
[4] K. Morawetz et al., Phys. Rev. C (1996), sub.