Extracting $p\Lambda$ scattering lengths from heavy ion collisions

Abstract

The source radii, previously extracted by STAR Collaboration from the $p-\Lambda \oplus \bar{p}-\bar{\Lambda }$ and $\bar{p}-\Lambda \oplus p-\bar{\Lambda }$ correlation functions measured in 10% most central Au+Au collisions at top RHIC energy $\sqrt{s_{NN}}=200$ GeV, differ by a factor of 2. The probable reason for this is the neglect of residual correlation effect in the STAR analysis. In the present paper we analyze baryon correlation functions within Lednicky and Lyuboshitz analytical model, extended to effectively account for the residual correlation contribution. Different analytical approximations for such a contribution are considered. We also use the averaged source radii extracted from the hydrokinetic model (HKM) simulations to fit the experimental data. In contrast to the STAR experimental study, the calculations in HKM show both $p\Lambda$ and $p\bar{\Lambda }$ radii to be quite close, as expected from theoretical considerations. Using the effective Gaussian parametrization of residual correlations we obtain a satisfactory fit to the measured baryon-antibaryon correlation function with the HKM source radius value 3.28 fm. The baryon-antibaryon spin-averaged strong interaction scattering length is also extracted from the fit to the experimental correlation function.

16 pages, 6 figures

References in corpus (7)

• GLISSANDO: GLauber Initial-State Simulation AND mOre
• Uniform description of bulk observables in the hydrokinetic model of A+A collisions at RHIC and LHC
• Hydro-kinetic approach to relativistic heavy ion collisions
• Source breakup dynamics in Au+Au Collisions at sqrt(s_NN)=200 GeV via three-dimensional two-pion source imaging
• Kaon and pion femtoscopy at the highest energies available at the BNL Relativistic Heavy Ion Collider (RHIC) in a hydrokinetic model
• Extracting baryon-antibaryon strong interaction potentials from p$\bar{\Lambda }$ femtoscopic correlation function
• Emission source functions in heavy ion collisions

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• Coupled-channel effects in hadron-hadron correlation functions
• Probing Multi-Strange Dibaryon with Proton-Omega Correlation in High-energy Heavy Ion Collisions
• Implications of an increased $\Lambda$-separation energy of the hypertriton
• The $\mathbf{\Lambda p}$ interaction studied via femtoscopy in p + Nb reactions at $\sqrt{{\mathbf{s}}_{\mathbf{NN}}}=3.18\mathbf{GeV}$
• Measurement of strange baryon-antibaryon interactions with femtoscopic correlations
• Exploring the $\Lambda$-deuteron interaction via correlations in heavy-ion collisions
• Thermal behavior as indicator for hyperons in binary neutron star merger remnants
• Femtoscopy correlation functions and hadron-hadron scattering amplitudes in presence of Coulomb potential
• Proton-lambda correlation functions at the LHC with account for residual correlations