Modeling Bose-Einstein correlations via elementary emitting cells

Abstract

We propose a method of numerical modeling Bose Einstein Correlations by using the notion of Elementary Emitting Cells (EEC). They are intermediary objects containing identical bosons and are supposed to be produced independently during the hadronization process. Only bosons in EEC, which represents a single quantum state here, are subjected to the effects of Bose-Einstein (BE) statistics, which forces them to follow a geometrical distribution. There are no such effects between particles from different EECs. We illustrate our proposition by calculating a representative number of typical distributions and discussing their sensitivity to EECs and their characteristics.

Global conservation laws and femtoscopy of small systems

“…Not surprisingly, the minimization procedure returned fit parameters M i very close to the values calculated via Eq. (27). However, exact agreement between the "best" parameter values returned by the fit and those from Eq.…”

“…(27), however, are global and independent of p 1 and p 2 . It is these which we will use as fit parameters.…”

“…[27]) recently in the context of a numerical model of Bose-Einstein correlations from emitting cells, using a rough but fast numerical algorithm to conserve energy-momentum. An earlier study by Bertsch et al [28] included energy-momentum conservation in an analytically solvable model in the limit of one spatial dimension and nonrelativistic particles.…”

“…appearing in Eqs. (10)- (27)] are fixed quantities in any given frame. In a pair-dependent frame (e.g., LCMS), the total energy and momentum of the event will fluctuate, pair-by-pair.…”

“…(9) [hence Eqs. (10)- (27)] assumes some fixed total energy and momentum to be conserved. The event's total energy and momentum [hence E , p , etc.…”