Measuring differential particle correlations in relativistic nuclear collisions

Abstract

This study explores the transverse momentum ($p_T$) dependencies of Symmetric and Asymmetric Correlations (SC and ASC) with one and two particles of interest in Au+Au collisions at 200 GeV. Leveraging the AMPT model, the investigation delves into the sensitivity of these correlations to the final state effects, providing valuable insights into their potential for constraining the final state effects' $p_T$ dependencies. The HIJING model is employed as a benchmark for non-flow correlations, shedding light on their impact on interpreting SC and ASC data. Moreover, the study points out that differential SC and ASC with one and two particles of interest (POIs) typically incorporate contributions from event-plane angle fluctuations. Consequently, this work highlights the significance of SC and ASC with one and two POIs as valuable tools for investigating the $p_T$ nature of the final state effects and advocates for comprehensive experimental measurements across various beam energies and system sizes to enhance our understanding and provide additional constraints for theoretical models.