Exact expressions for the intercepts of r-particle momentum correlation functions in \mu-Bose gas model

TL;DR

This paper derives exact formulas for r-particle momentum correlation intercepts in a ose gas model using eformed oscillators, extending previous approximate results to all r and analyzing their asymptotic behavior.

Contribution

It provides the first exact expressions for r-particle correlation intercepts in the ose gas model for all r, using Lerch transcendent functions.

Findings

Exact formulas for all r-particle intercepts derived

Asymptotic behavior of intercepts analyzed

Graphical dependence on particle momentum presented

Abstract

Recently, the deformed \mu-Bose gas model based on so called \mu-deformed oscillators was proposed. For that model, the intercepts of r-particle momentum correlation functions (correlation functions at coinciding momenta of particles) were treated for r=2,3, within certain order of approximation in \mu. In this work, we derive for \mu-Bose gas model the {\it exact} expressions for r-particle correlation function intercepts, for all r, through Lerch transcendent and find their asymptotics (as functions of \mu). For 2-, 3-particle intercepts and deformed distribution function <a^\dag_k a_k> the dependence on particles momentum is presented graphically.