Analysis of Bose–Einstein correlation at 7 TeV by LHCb collaboration based on stochastic approach

Abstract

The Bose–Einstein correlation (BEC) in forward region [Formula: see text] measured at 7 TeV in the Large Hadron Collider (LHC) by the LHCb collaboration is analyzed using two conventional formulas of different types named CF[Formula: see text] and CF[Formula: see text]. The first formula is well known and contains the degree of coherence [Formula: see text] and the exchange function [Formula: see text] from the BE statistics. The second formula is an extended formula (CF[Formula: see text]) that contains the second degree of coherence [Formula: see text] and the second exchange function [Formula: see text] in addition to CF[Formula: see text]. To examine the physical meaning of the parameters estimated by CF[Formula: see text], we analyze the LHCb BEC data by using a stochastic approach of the three-negative binomial distribution and the three-generalized Glauber–Lachs formula. Our results reveal that the BEC at 7 TeV consisted of three activity intervals defined by the multiplicity [Formula: see text] ([8, 18], [19, 35], and [36, 96]) can be well explained by CF[Formula: see text].