FIZIKA B 19 (2010) 2, 113-124

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DEPENDENCE OF THE CORRELATION COEFFICIENT ON THE SIZE OF THE PHASE-SPACE INTERVAL IN HIGH-ENERGY INTERACTIONS

DIPAK GHOSHa, ARGHA DEBa, SWARNAPRATIM BHATTACHARYYAb, and UTPAL DATTAa
aNuclear and Particle Physics Research Centre, Department of Physics,
Jadavpur University, Kolkata - 700 032, India
bDepartment of Physics, New Alipore College, L Block, New Alipore,
Kolkata 700053, India

Received 4 February 2010;     Revised manuscript received 19 April 2010
Accepted 7 July 2010     Online 8 October 2010

We calculated the cumulant moments in order to find the genuine two-particle short-range correlations among the produced pions and also the correlation coefficients in order to quantify the correlations. We studied the cumulant moments and their variation with the pseudorapidity phase-space interval for nucleus-nucleus interactions (24Mg-AgBr at 4.5A GeV and 28Si-AgBr at 14.5A GeV), hadron nucleus interactions (p-AgBr at 800 GeV) and hadron-hadron collisions (p[` (p)] at s=200 GeV and s=900 GeV). The analysis reveals the presence of genuine two-particle short-range correlations among the produced pions in the multi-particle production processes. It is found that the cumulant moments decrease with the increase of the width of the rapidity phase-space intervals. The decrease of cumulant moments with the increase of phase-space interval signifies that the short-range correlation decreases. We investigated the variation of the correlation coefficients in order to study the correlation effects in some more detail in the above mentioned interactions. The nature of variations of the correlation coefficients with the phase-space interval size is different for different types of interactions.

PACS numbers: 23.20.En, 25.75-q
UDC 539.126

Keywords: correlation, NBD fit, correlation coefficient

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