Combined analysis of two- and three-particle correlations in q,p-Bose gas model
Abstract:
Multimode system of $q$-deformed oscillators and the model of ideal
gas of $q$-bosons proved to be useful in effective description [1,
2] of the observed non-Bose type behaviour of the "strength" (intercept)
$\lambda^{(2)}\equiv C^{(2)}(K,K)-1$ of two-particle correlation function
$C^{(2)}(p_1,p_2)$ of
identical pions emitted and registered in experiments on relativistic
heavy-ion collisions.
Three-particle (and higher-order) correlation functions of pions (or
kaons) are as well important, as they carry additional useful information
on geometry and
dynamics of the emitting sources in such experiments.
Main results of the approach based on the $q$-Bose gas model were further
extended [3]: the intercepts of $n$-particle correlation functions were
obtained for the
$q$-Bose gas model; general formulas were derived for the intercepts
of $n$-particle correlators within two-parameter ($qp$-) generalization
of the model.
Our goal is to present, both for the $q$-Bose gas model and its two-parameter (or $qp$-) extension, the combined analysis of two- and three-pion correlation functions intercepts, and to make a comparison with the existing data on pion correlations from the recent STAR/RHIC experiments.
Important peculiar dependences of $C^{(2)}(p,p)$ and its 3-particle analogue $C^{(3)}(p,p,p)$ on mean momenta of particles (pions, kaons) are studied in detail.
The developed approach implies complete chaoticity of sources, unlike other approaches which assume some (portion of) coherence of sources.