How parametric resonance mechanism follows quench mechanism in disoriented chiral condensate

Details How parametric resonance mechanism follows quench mechanism in disoriented chiral condensate How parametric resonance mechanism follows quench mechanism in disoriented chiral condensate

2001-04-25

arxiv.org/abs/hep-ph/0104255v1

Phys.Lett. B512 (2001) 73-77

Physics

High Energy Physics

High Energy Physics - Phenomenology

LaTeX, 10 pages

Scientific paper

10.1016/S0370-2693(01)00697-9

We show how parametric resonance mechanism follows quench mechanism in the classical linear sigma model. The parametric resonance amplifies long wavelength modes of the pion for more than $10 fm/c$. The shifting from the quench mechanism to the parametric resonance mechanism is described by a time dependent quantity. After the quench mechanism is over, that quantity has an oscillating part, which causes the parametric resonance. Since its frequency is $2 m_\pi ~(m_\pi$ : pion mass), very long wavelength modes such as k = 40 MeV of the pion are amplified by the parametric resonance.

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