Measuring differential particle correlations in relativistic nuclear collisions

This study explores the transverse momentum (<a:math xmlns:a="http://www.w3.org/1998/Math/MathML"><a:msub><a:mi>p</a:mi><a:mi>T</a:mi></a:msub></a:math>) dependencies of symmetric and asymmetric correlations (SC and ASC) with one and two particles of interest in <b:math xmlns:b="http://www.w3.org/1998/Math/MathML"><b:mi>Au</b:mi><b:mo>+</b:mo><b:mi>Au</b:mi></b:math> collisions at 200 GeV. Leveraging a multiphase transport (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' <c:math xmlns:c="http://www.w3.org/1998/Math/MathML"><c:msub><c:mi>p</c:mi><c:mi>T</c:mi></c:msub></c:math> dependencies. The HIJING model is employed as a benchmark for nonflow 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 <d:math xmlns:d="http://www.w3.org/1998/Math/MathML"><d:msub><d:mi>p</d:mi><d:mi>T</d:mi></d:msub></d:math> nature of the final state effects and advocates for comprehensive experimental measurements across various beam energies and system sizes to enhance understanding and provide additional constraints for theoretical models.