Parametric amplification with a friction in heavy ion collisions

Abstract

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.

10 pages, 9 figures LaTeX: appendix added

References in corpus (5)

• Stochastic treatment of Disoriented Chiral Condensates within a Langevin description
• Dynamical Pion Production via Parametric Resonance from Disoriented Chiral Condensate
• Effects of friction on the chiral symmetry restoration in high energy heavy-ion collisions
• Nonlinear evolution of the momentum dependent condensates in strong interaction: the ``pseudoscalar laser''
• Lifetime of Collective Isospin Rotations of a Quantum Meson Field

Cited by in corpus (4)

• Quantum description for a chiral condensate disoriented in a certain direction in isospace
• Parametric resonance at the critical temperature in high energy heavy ion collisions
• Effects of Tsallis distribution on parametric resonance in chiral phase transitions
• Amplification induced by white noise