Strange particles femtoscopic correlation in PbPb collisions at $\sqrt{s}$$_{NN}$ = 5.02 TeV with the CMS detector at the LHC

The relativistic heavy-ion collider at BNL and the large hadron collider at CERN have created an extraordinary phase of nuclear matter known as Quark Gluon Plasma (QGP) at extremely high temperatures and energy densities. The correlation measurements among the produced particles from the ultra-relativistic heavy-ion collisions provide a unique tool to understand the dynamics of particle production mechanisms and the evolution of the systems produced in these collisions. Such correlations help study the produced medium's collective behaviour, revealing the initial overlapping region and its fluctuations between the colliding nuclei. Two-particle correlations in relative momentum, so-called femtoscopic correlations, arising from relativistic heavy-ion collisions, provide a powerful technique for studying the space-time dimensions of the particle emitting sources produced in the collisions and the subsequent interactions of the emitted particles. These correlations are sensitive to quantum statistics and final-state interactions between the particles. Two-particle femtoscopic correlations are presented for \KS, \LM, and \ALM strange hadrons in lead-lead collisions at a nucleon-nucleon center-of-mass energy of 5.02 TeV. The dataset corresponds to an integrated luminosity of 0.607 $\text{nb}^{-1}$ and was collected using the CMS detector at the CERN LHC. This is the first femtoscopic correlation measurement of \LLALAL in lead-lead collisions at the LHC. The source size is extracted from the \KSKS correlations in different centrality bins and found to decrease central to peripheral collisions. A comparison of source size with the other experiments is also presented. Along with source size, the strong interaction scattering parameters (i.e., scattering length and effective range) are determined from the \LALKS and \LLALAL (including their charge conjugates) correlations using the Lednick{\'y}--Lyuboshitz model and are compared to theoretical and other experimental results.