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Phys. Rev. D 48, 190–208 (1993)

Particle production in the central rapidity region

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F. Cooper
Theoretical Division, Los Alamos National Laboratory, Los Alamos, New Mexico 87545

J. M. Eisenberg
School of Physics and Astronomy, Raymond and Beverly Sackler Faculty of Exact Sciences, Tel Aviv University, 69978 Tel Aviv, Israel

Y. Kluger
Theoretical Division and Center for Nonlinear Studies, Los Alamos National Laboratory, Los Alamos, New Mexico 87545 and School of Physics and Astronomy, Raymond and Beverly Sackler Faculty of Exact Sciences, Tel Aviv University, 69978 Tel Aviv, Israel

E. Mottola
Theoretical Division, Los Alamos National Laboratory, Los Alamos, New Mexico 87545

B. Svetitsky
School of Physics and Astronomy, Raymond and Beverly Sackler Faculty of Exact Sciences, Tel Aviv University, 69978 Tel Aviv, Israel

Received 16 December 1992; published in the issue dated 1 July 1993

We study pair production from a strong electric field in boost-invariant coordinates as a simple model for the central rapidity region of a heavy-ion collision. We derive and solve the renormalized equations for the time evolution of the mean electric field and current of the produced particles, when the field is taken to be a function only of the fluid proper time τ=√t2-z2. We find that a relativistic transport theory with a Schwinger source term modified to take Pauli blocking (or Bose enhancement) into account gives a good description of the numerical solution to the field equations. We also compute the renormalized energy-momentum tensor of the produced particles and compare the effective pressure, energy, and entropy density to that expected from hydrodynamic models of energy and momentum flow of the plasma.

© 1993 The American Physical Society

URL:
http://link.aps.org/doi/10.1103/PhysRevD.48.190
DOI:
10.1103/PhysRevD.48.190
PACS:
12.38.Mh, 25.75.+r