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

Abstract

The Bose-Einstein correlation (BEC) in forward region ($2.0<\eta <4.8$) measured at 7 TeV in the Large Hadron Collider (LHC) by the LHCb collaboration is analyzed using two conventional formulas of different types named CF${}_{\mathrm{I}}$ and CF${}_{\mathrm{II}}$. The first formula is well known and contains the degree of coherence ($\lambda$) and the exchange function $E_{\mathrm{BE}}^2$ from the BE statistics. The second formula is an extended formula (CF${}_{\mathrm{II}}$) that contains the second degree of coherence ${\lambda }_2$ and the second exchange function $E_{\mathrm{B}{\mathrm{E}}_2}^2$ in addition to CF${}_{\mathrm{I}}$. To examine the physical meaning of the parameters estimated by CF${}_{\mathrm{II}}$, 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 CF${}_{\mathrm{II}}$.

References in corpus (9)

• Diffraction in Pythia
• Three-component multiplicity distribution, oscillation of combinants and properties of clans in $pp$ collisions at the LHC
• Intriguing properties of multiplicity distributions
• Study of $b\bar{b}$ correlations in high energy proton-proton collisions
• Analyses of multiplicity distributions with η_c and Bose-Einstein correlations at LHC by means of generalized Glauber-Lachs formula
• Bose-Einstein correlations of same-sign charged pions in the forward region in $pp$ collisions at $\sqrt{s}$ = 7 TeV
• Modified combinant analysis of the $e^{+}{e}^{-}$ multiplicity distributions
• Unified Description of Multiplicity Distributions and Bose-Einstein Correlations at the LHC Based on the Three-Negative Binomial Distribution
• Analyses of multiplicity distributions and Bose-Einstein correlations at the LHC using negative binomial distribution and generalized Glauber-Lachs formula

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