Proton-lambda correlation functions at the LHC with account for residual correlations

TL;DR

This paper emphasizes the importance of residual correlations in accurately modeling proton-lambda correlation functions at high-energy collisions, extending previous RHIC results to LHC energies with new predictions.

Contribution

It introduces a method to incorporate residual correlations into proton-lambda correlation analysis, providing predictions for LHC energies based on RHIC data and source function simulations.

Findings

Residual correlations are essential for accurate correlation function modeling.

Predicted correlation functions for Pb+Pb collisions at LHC energies.

Extracted scattering length and residual correlation parameters from RHIC data.

Abstract

The theoretical analysis of $\bar{p}-\Lambda \oplus p-\bar{\Lambda}$ correlation function in 10% most central Au+Au collisions at RHIC energy $\sqrt{s_{NN}}=200$ GeV shows that the contribution of residual correlations is the necessary factor to obtain a satisfactory description of the experimental data. A neglecting of the residual correlation effect, leads to unrealistically low source radius, about 2 times smaller than the corresponding value for $p-\Lambda \oplus \bar{p}-\bar{\Lambda}$ case, when one fits the experimental correlation function within Lednicky-Lyuboshitz analytical model. Recently an approach accounting effectively for residual correlations for the baryon-antibaryon correlation function was proposed, and a good RHIC data description was reached with the source radius extracted from the hydrokinetic model (HKM). The $\bar{p}-\Lambda$ scattering length, as well as the parameters characterizing the residual correlation effect --- annihilation dip amplitude and its inverse width --- were extracted from the corresponding fit. In this paper we use these extracted values and simulated in HKM source functions for Pb+Pb collisions at the LHC energy $\sqrt{s_{NN}}=2.76$ TeV to predict the corresponding $p\Lambda$ and $p\bar{\Lambda}$ correlation functions.