Generating functional approach to Bose-Einstein correlations
N. Suzuki, M. Biyajima, Ivan V. Andreev · Physical Review C · 1997
Bose-Einstein correlations are considered in the presence of $M$ independent chaotic sources and a coherent source. Our approach is an extension of the formulation in the quantum optics given by Glauber and Lachs. The generating functional (GF) of Bose-Einstein correlation (BEC) functions is derived, and higher order BEC functions are obtained from the GF. A diagrammatic representation for cumulants is made. The number $M$ is explicitly contained in our formulation, which is different from that given by Cramer et al. The possibility of estimating the number $M$ from the analysis of BEC functions and cumulants is pointed out. Moreover, source size dependence of multiplicity distributions is shown in a simplified case.