Parametric amplification with a friction in heavy ion collisions

Details Parametric amplification with a friction in heavy ion collisions Parametric amplification with a friction in heavy ion collisions

2000-03-29

arxiv.org/abs/hep-ph/0003279v2

Phys.Rev. C62 (2000) 054908

Physics

High Energy Physics

High Energy Physics - Phenomenology

10 pages, 9 figures LaTeX: appendix added

Scientific paper

10.1103/PhysRevC.62.054908

We study the effects of the expansion of the system and the friction on the parametric amplification of mesonic fields in high energy heavy ion collisions within the linear $\sigma$ model . The equation of motion which is similar to Mathieu equation is derived to describe the time development of classical fields in the last stage of a heavy ion collision after the freezeout time. The enhanced mode is extracted analytically by comparison with Mathieu equation and the equation of motion is solved numerically to examine whether soft modes will be enhanced or not. It is found that the strong peak appears around 267 MeV in the pion transverse momentum distribution in cases with weak friction and high maximum temperature. This enhancement can be extracted by taking the ratio between different modes in the pion transverse momentum distribution.

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