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

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.