Towards a test particle description of transport processes for states with continuous mass spectra

Details Towards a test particle description of transport processes for states with continuous mass spectra Towards a test particle description of transport processes for states with continuous mass spectra

1999-09-30

arxiv.org/abs/nucl-th/9909080v2

Nucl.Phys. A672 (2000) 475-500

Physics

Nuclear Physics

Nuclear Theory

REVTEX, 27 pages, 1 PS-figure, changes and extensions on various places

Scientific paper

10.1016/S0375-9474(00)00057-9

Based on a first order gradient expansion a consistent transport equation is derived for a nonrelativistic system beyond the quasiparticle approximation, i.e. for a regime where the dynamically generated width of the states is allowed to be large. An exactly conserved quantity is identified which is interpreted as an effective particle number obtained by coarse graining. Using a test particle ansatz for this conserved quantity allows to rewrite the transport equation into equations of motion for test particles. The two-body collision terms are formulated in terms of the test particles which gain non-trivial renormalization factors due to the coarse graining process.

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