The m T -dependencies of the femto-scales, the so-called interferometry and source radii, are investigated within the hydrokinetic model for different types of particle pairs -pion-pion, kaonkaon, proton-proton and proton-lambda, -produced in Pb+Pb and p + p collisions at the LHC. In particular, such property of the femto-scales momentum behavior as m T -scaling is studied for the systems with (w) and without (w/o) intensive transverse flow, and also w and w/o re-scattering at the final afterburner stage of the matter evolution. The detail spatiotemporal description obtained within hydrokinetic model is compared with the simple analytical results for the spectra and longitudinal interferometry radii depending on the effective temperature on the hypersurface of maximal emission, proper time of such emission, and intensity of transverse flow. The derivation of the corresponding analytical formulas and discussion about a possibility for their utilization by the experimentalists for the simple femtoscopy data analysis is the main aim of this theoretical investigation.PACS numbers: 13.85.Hd, 25.75.Gz 1 PACS: 24.10.Nz, 24.10.Pa, 25.75.Gz, 25.75.Ld.

We provide, within the hydrokinetic model, a detailed investigation of kaon interferometry in P b+ P b collisions at LHC energy ( √ s N N = 2.76 TeV). Predictions are presented for 1D interferometry radii of K 0 S K 0 S and K ± K ± pairs as well as for 3D femtoscopy scales in out, side and long directions.The results are compared with existing pion interferometry radii. We also make predictions for full LHC energy.

The basic principles of the correlation femtoscopy, including its correspondence to the Hanbury Brown and Twiss intensity interferometry, are re-examined. The main subject of the paper is an analysis of the correlation femtoscopy when the source size is as small as the order of the

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The results on the main bulk observables obtained in the simulations within the integrated hydrokinetic model (iHKM) of Au+Au collisions at the RHIC energy √ s N N = 200 GeV are presented along with the corresponding experimental data from the STAR and the PHENIX collaborations. The simulations include all the stages of the collision process: formation of the initial state, its gradual thermalization and hydrodynamization, viscous relativistic hydro-evolution, system's hadronization and particlization, and, finally, an expansion of the interacting hadron-resonance gas. The model gives a satisfactory description of charged-particle multiplicities, particle number ratios, transverse momentum spectra for pions, kaons, protons and antiprotons, charged-particle v 2 coefficients, and femtoscopy radii at all collision centralities. It is demonstrated how one can estimate the times of the pion and kaon maximal emission from the femto-scales. PACS numbers: 13.85.Hd, 25.75.Gz 1