Scaling of factorial moments in cumulative variables

Abstract

A search for power-law fluctuations within the framework of the intermittency method is ongoing to locate the critical point of the strongly interacting matter. In particular, experimental data on proton and pion production in heavy-ion collisions are analyzed in transverse-momentum, $p_T$, space. In this regard, we have studied the dependence of the second scaled factorial moment $F_2$ of particle multiplicity distribution on the number of subdivisions of transverse momentum-interval used in the analysis. The study is performed using a simple model with a power-law two-particle correlation function in $p_T$. We observe that $F_2$ values depend on the size and position of the $p_T$ interval. However, when we convert the non-uniform transverse-momentum distribution to uniform one using cumulative transformation, $F_2$ calculated in subdivisions of the cumulative $p_T$ becomes independent of the cumulative-$p_T$ interval. The scaling behaviour of $F_2$ for the cumulative variable is observed. Moreover, $F_2$ follows a power law with the number of subdivisions of the cumulative-$p_T$ interval with the intermittency index close to the correlation function's exponent.

References in corpus (4)

• The order of the quantum chromodynamics transition predicted by the standard model of particle physics
• Challenges in QCD matter physics - The Compressed Baryonic Matter experiment at FAIR
• Critical Opalescence in Baryonic QCD Matter
• Impact of momentum resolution on factorial moments due to power-law correlations between particles

Cited by in corpus (2)

• Overview of intermittency analysis in heavy-ion collisions
• Impact of momentum resolution on factorial moments due to power-law correlations between particles