Particle production at energies available at the CERN Large Hadron Collider within evolutionary model

The particle yields and particle number ratios in Pb+Pb collisions at the LHC energy $\sqrt{s_{NN}}=2.76$ TeV are described within the integrated hydrokinetic model (iHKM) at the two different equations of state (EoS) for the quark-gluon matter and the two corresponding hadronization temperatures, $T=165$ MeV and $T=156$ MeV. The role of particle interactions at the final afterburner stage of the collision in the particle production is investigated by means of comparison of the results of full iHKM simulations with those where the annihilation and other inelastic processes (except for resonance decays) are switched off after hadronization/particlization, similarly as in the thermal models. An analysis supports the picture of continuous chemical freeze-out in the sense that the corrections to the sudden chemical freeze-out results, which arise because of the inelastic reactions at the subsequent evolution times, are noticeable and improve the description of particle and number ratios. An important observation is that although the particle number ratios with switched-off inelastic reactions are quite different at different particlization temperatures which are adopted for different equations of state to reproduce experimental data, the complete iHKM calculations bring very close results in both cases.Comment: 12 pages, 4 figure

Description of bulk observables in Au+Au collisions at top RHIC energy in the integrated HydroKinetic Model

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 $\sqrt{s_{NN}}=200$ 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.Comment: 17 pages, 14 figure

Description of bulk observables in Au+Au collisions at top RHIC energy in the integrated HydroKinetic Model

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 $\sqrt{s_{NN}}=200$ 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.Comment: 17 pages, 14 figure

Femtoscopy correlations of kaons in Pb+PbPb + Pb collisions at LHC within hydrokinetic model

We provide, within the hydrokinetic model, a detailed investigation of kaon interferometry in $Pb+Pb$ collisions at LHC energy ($\sqrt{s_{NN}} = 2.76$ TeV). Predictions are presented for 1D interferometry radii of $K^0_SK^0_S$ and $K^{\pm}K^{\pm}$ 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.Comment: 12 pages, 6 figure

Correlation femtoscopy of small systems

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 uncertainty limit. It is about 1 fm for the current high energy experiments. Then the standard femtoscopy model of random sources is inapplicable. The uncertainty principle leads to the partial indistinguishability and coherence of closely located emitters that affect the observed femtoscopy scales. In thermal systems the role of corresponding coherent length is taken by the thermal de Broglie wavelength that also defines the size of a single emitter. The formalism of partially coherent phases in the amplitudes of closely located individual emitters is used for the quantitative analysis. The general approach is illustrated analytically for the case of the Gaussian approximation for emitting sources. A reduction of the interferometry radii and a suppression of the Bose-Einstein correlation functions for small sources due to the uncertainty principle are found. There is a positive correlation between the source size and the intercept of the correlation function. The peculiarities of the non-femtoscopic correlations caused by minijets and fluctuations of the initial states of the systems formed in $pp$ and $e^+e^-$ collisions are also analyzed. The factorization property for the contributions of femtoscopic and non-femtoscopic correlations into complete correlation function is observed in numerical calculations in a wide range of the model parameters.Comment: 34 pages, 5 figures. In the version 4 some stylistic improvements were made, some misprints were corrected. The results and conclusions are not change

Tubular initial conditions and ridge formation

The 2D azimuth & rapidity structure of the two-particle correlations in relativistic A+A collisions is altered significantly by the presence of sharp inhomogeneities in superdense matter formed in such processes. The causality constraints enforce one to associate the long-range longitudinal correlations observed in a narrow angular interval, the so-called (soft) ridge, with peculiarities of the initial conditions of collision process. This study's objective is to analyze whether multiform initial tubular structures, undergoing the subsequent hydrodynamic evolution and gradual decoupling, can form the soft ridges. Motivated by the flux-tube scenarios, the initial energy density distribution contains the different numbers of high density tube-like boost-invariant inclusions that form a bumpy structure in the transverse plane. The influence of various structures of such initial conditions in the most central A+A events on the collective evolution of matter, resulting spectra, angular particle correlations and v_n-coefficients is studied in the framework of the HydroKinetic Model (HKM).Comment: 18 pages, 6 figures, the paper to be published in Advances of High Energy Physics (2013, in press

Age-related relationship between the development of hyperplastic processes and VEGF expression in endometrial cells

The existence of a clear tendency to increase the prevalence of hormone-dependent diseases and endometrial cancer against the background of increasing the frequency of their occurrence and rejuvenation of the age of manifestation leads to the search for new possible markers of diagnosis and prognosis of the development of pathological process. Angiogenesis is one of the forms that lead to the formation of new blood vessels, with an increased metabolic need for perfusion of existing vessels. The vascular endothelial growth factor family (VEGF) is a protein that is the major inducer of angiogenesis. The objective: To study the expression of VEGF in endometrial cells in proliferative, hyperplastic, atrophic states at women’s different ages. Materials and methods. A retrospective analysis of medical records of the pathohistological bureau for the period 2014-2016 was conducted. 2196 pathomorphological findings of endometrial tissue specimens have been examined. Estimation of VEGF expression was performed in 417 endometrial specimens, in the cohorts of the study: in the reproductive, perimenopausal, postmenopausal periods, respectively, in groups with physiological endometrial proliferation phase, hyperplastic, atypical, atrophic endometrium. The results were statistically processed. Results and discussion. Analyzing the data presented, higher VEGF expression was detected in atypical hyperplasia in all age categories, but it was likely that higher rates were established in the postmenopausal period, with atypical endometrial hyperplasia, suggesting physicians' alertness to the process in this category. Probably low were indexes found at atrophic endometrium in this age category, which confirms the endometrial preservation of its growth factors, and in the presence of processes that stimulate the proliferation of the organ, they can trigger at the molecular-genetic level, neoplastic mechanisms. The data of the retrospective analysis confirm the growth of atypical form of hyperplastic processes and their maximum detection in the age categories 41 - 45  and 46 - 50 years old, and the beginning of detection of endometrial malignancy from the age of 46 - 50 years old, with a gradual increase with age. Conclusions. Expression of VEGF level in endometrial tissue cells as an inducer of angiogenesis can be a promising marker for the diagnosis of the risk of proliferative conditions and their prognosis, especially in relation to other markers characterizing immunohistochemical and molecular genetic cellular parameters