A kinetic approach to eta' production from a CP-odd phase

Details A kinetic approach to eta' production from a CP-odd phase A kinetic approach to eta' production from a CP-odd phase

2001-10-08

arxiv.org/abs/nucl-th/0110022v1

Phys.Rev. D65 (2002) 054039

Physics

Nuclear Physics

Nuclear Theory

10 pages, latex, epsfig, 6 figures

Scientific paper

10.1103/PhysRevD.65.054039

The production of (eta,eta')- mesons during the decay of a CP-odd phase is studied within an evolution operator approach. We derive a quantum kinetic equation starting from the Witten-DiVecchia-Veneziano Lagrangian for pseudoscalar mesons containing a U_A(1) symmetry breaking term. The non-linear vacuum mean field for the flavour singlet pseudoscalar meson is treated as a classical, self-interacting background field with fluctuations assumed to be small. The numerical solution provides the time evolution of momentum distribution function of produced eta'- mesons after a quench at the deconfinement phase transition. We show that the time evolution of the momentum distribution of the produced mesons depend strongly on the shape of the effective potential at the end of the quench, exhibiting either parametric or tachyonic resonances. Quantum statistical effects are essential and lead to a pronounced Bose enhancement of the low momentum states.

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