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

Abstract

The Bose-Einstein correlation (BEC) in forward region (2.0 < η < 4.8) measured at 7 TeV in the Large Hadron Collider (LHC) by the LHCb collaboration is analyzed using two conventional formulas of different types named CFI and CFII. The first formula is well known and contains the degree of coherence (λ) and the exchange function E 2 BE from the BE statistics. The second formula is an extended formula (CFII) that contains the second degree of coherence λ2 and the second exchange function E 2 BE 2 in addition to CFI. To examine the physical meaning of the parameters estimated by CFII, 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 n ( [8,18], [19, 35], and [36, 96]) can be well explained by CFII.

On long-range pionic Bose-Einstein correlations -- Including analyses of OPAL, L3 and CMS BECs

“…(3) (i.e., LRC (δ) ) are presented in Refs. [7,9,10]. For our purposes, the analytic LRC (δ, ε) is also necessary in the CF II .…”

“…The following conventional formula is utilized as a standard tool in many analyses of pionic Bose-Einstein correlation (BEC) [1][2][3][4][5][6][7][8][9][10]:…”

Analysis of OPAL Bose-Einstein Correlation at $Z^0$-pole by the second conventional formula

“…e + e − e + q q q q g e − In the second section, we propose the introduction of random variables sets for the initial values of the MINUIT method [14]. In the third section, our results are presented.…”