Different space-time freeze-out picture -- an explanation of different Λ\Lambda and Λˉ\bar{\Lambda} polarization?

Thermal vorticity in non-central Au+Au collisions at energies $7.7 \leq \sqrt{s} \leq 62.4$ GeV is calculated within the UrQMD transport model. Tracing the $\Lambda$ and $\bar{\Lambda}$ hyperons back to their last interaction point we were able to obtain the temperature and the chemical potentials at the time of emission by fitting the extracted bulk characteristics of hot and dense medium to statistical model of ideal hadron gas. Then the polarization of both hyperons was calculated. The polarization of $\Lambda$ and $\bar{\Lambda}$ increases with decreasing energy of nuclear collisions. The stronger polarization of $\bar{\Lambda}$ is explained by the different space-time distributions of $\Lambda$ and $\bar{\Lambda}$ and by different freeze-out conditions of both hyperons.Comment: Corresponds to pubslished versio

Shear viscosity in microscopic calculations of A+A collisions at energies of Nuclotron-based Ion Collider fAcility (NICA)

Time evolution of shear viscosity $\eta$, entropy density $s$, and their ratio $\eta / s$ in the central area of central gold-gold collisions at NICA energy range is studied within the UrQMD transport model. The extracted values of energy density, net baryon density and net strangeness density are used as input to (i) statistical model of ideal hadron gas to define temperature, baryo-chemical potential and strangeness chemical potential, and to (ii) UrQMD box with periodic boundary conditions to study the relaxation process of highly excited matter. During the relaxation stage, the shear viscosity is determined in the framework of Green-Kubo approach. The procedure is performed for each of 20 time slices, corresponding to conditions in the central area of the fireball at times from 1~fm/$c$ to 20~fm/$c$. For all tested energies the ratio $\eta / s$ reaches minimum, $\left( \eta/s \right)_{min} \approx 0.3$ at $t \approx 5$~fm/$c$. Then it increases up to the late stages of the system evolution. This rise is accompanied by the drop of both, temperature and strangeness chemical potential, and increase of baryo-chemical potential.Comment: LATEX, 9 pages, 10 figure

The Analytical Research on the Factors of Influence on the Financial Sustainability of Machine-Building enterprises of Vinnytsya Region

The article is aimed at researching the financial sustainability of the machine-building enterprises of Vinnytsya region. The main reason of research of financial sustainability of machine-building enterprises is reasoned. The importance of financial sustainability of machine-building enterprises differing in size, output and volume of activity is analyzed and compared. The main factors influencing the financial sustainability of machine-building enterprises are defined. The basic macro-and micro-economic problems influencing the financial sustainability of machine-building enterprises are determined. It is proved that the main reason of worsening of financial sustainability of machine-building enterprises is ignoring of the policy of stable replenishment of both own and own working capital by enterprises. The failure of enterprises to long-term financing also has an important negative impact. It has been determined that the weak financing of non-negotiable assets, which indicates a low level of modernization of fixed funds, negatively impacts the financial sustainability of machine-building enterprises

INŻYNIERYJNO-TECHNICZNA OCENA KONKURENCYJNOŚCI UKRAIŃSKICH PRZEDSIĘBIORSTW BUDOWY MASZYN NA PODSTAWIE ZASTOSOWANIA MODELI REGRESJI

The characteristic features of engineering products are revealed. Average industry performance indicators of mechanical engineering enterprises in Ukraine were formed. The competitiveness of mechanical engineering enterprises was studied. The integral indicator of the competitiveness of mechanical engineering enterprises in Ukraine was evaluated. It has been established that the competitiveness industry, despite certain profits received by enterprises, is in a systemic, predictable crisis and only individual enterprises that maintain their own line of economic behavior are successful, increase competitiveness and have prospects for further economic growth.Ujawniono charakterystyczne cechy produktów inżynieryjnych. Opracowano średnie wskaźniki wydajności przemysłu przedsiębiorstw inżynierii mechanicznej na Ukrainie. Zbadano konkurencyjność przedsiębiorstw przemysłu maszynowego. Oceniono integralny wskaźnik konkurencyjności przedsiębiorstw przemysłu maszynowego na Ukrainie. Ustalono, że branża konkurencyjności, pomimo pewnych zysków uzyskiwanych przez przedsiębiorstwa, znajduje się w systemowym, przewidywalnym kryzysie i tylko pojedyncze przedsiębiorstwa, które utrzymują własną linię zachowań gospodarczych, odnoszą sukcesy, zwiększają konkurencyjność i mają perspektywy dalszego wzrostu gospodarczego

Second virial coefficients of light nuclear clusters and their chemical freeze-out in nuclear collisions

Here we develop a new strategy to analyze the chemical freeze-out of light (anti)nuclei produced in high energy collisions of heavy atomic nuclei within an advanced version of the hadron resonance gas model. It is based on two different, but complementary approaches to model the hard-core repulsion between the light nuclei and hadrons. The first approach is based on an approximate treatment of the equivalent hard-core radius of a roomy nuclear cluster and pions, while the second approach is rigorously derived here using a self-consistent treatment of classical excluded volumes of light (anti)nuclei and hadrons. By construction, in a hadronic medium dominated by pions, both approaches should give the same results. Employing this strategy to the analysis of hadronic and light (anti)nuclei multiplicities measured by ALICE at $\sqrt{s_{NN}} =2.76$ TeV and by STAR at $\sqrt{s_{NN}} =200$ GeV, we got rid of the existing ambiguity in the description of light (anti)nuclei data and determined the chemical freeze-out parameters of nuclei with high accuracy and confidence. At ALICE energy the nuclei are frozen prior to the hadrons at the temperature $T = 175.1^{+2.3}_{-3.9}$ MeV, while at STAR energy there is a single freeze-out of hadrons and nuclei at the temperature $T = 167.2 \pm 3.9$ MeV. We argue that the found chemical freeze-out volumes of nuclei can be considered as the volumes of quark-gluon bags that produce the nuclei at the moment of hadronization.Comment: 15 pages, 4 figures, 3 table

ENGINEERING AND TECHNICAL ASSESSMENT OF THE COMPETITIVENESS OF UKRAINIAN MECHANICAL ENGINEERING ENTERPRISES BASED ON THE APPLICATION OF REGRESSION MODELS

The characteristic features of engineering products are revealed. Average industry performance indicators of mechanical engineering enterprises in Ukraine were formed. The competitiveness of mechanical engineering enterprises was studied. The integral indicator of the competitiveness of mechanical engineering enterprises in Ukraine was evaluated. It has been established that the competitiveness industry, despite certain profits received by enterprises, is in a systemic, predictable crisis and only individual enterprises that maintain their own line of economic behavior are successful, increase competitiveness and have prospects for further economic growth

Induced surface and curvature tension equation of state for hadron resonance gas in finite volumes and its relation to morphological thermodynamics

Here we develop an original approach to investigate the grand canonical partition function of the multicomponent mixtures of Boltzmann particles with hard-core interaction in finite and even small systems of the volumes above 20 fm$^3$. The derived expressions of the induced surface tension equation of state are analyzed in details. It is shown that the metastable states, which can emerge in the finite systems with realistic interaction, appear at very high pressures at which the hadron resonance gas, most probably, is not applicable at all. It is shown how and under what conditions the obtained results for finite systems can be generalized to include into a formalism the equation for curvature tension. The applicability range of the obtained equations of induced surface and curvature tensions for finite systems is discussed and their close relations to the equations of the morphological thermodynamics are established. The hadron resonance gas model on the basis of the obtained advanced equation of state is worked out. Also, this model is applied to analyze the chemical freeze-out of hadrons and light nuclei with the number of (anti-)baryons not exceeding 4, including the most problematic ratios of hyper-triton and its antiparticle. Their multiplicities were measured by the ALICE Collaboration in the central lead-lead collisions at the center-of-mass energy $\sqrt{s_{\rm NN}} =$ 2.76 TeV.Comment: 24 pages, 3 figures and 1 tabl

Anisotropic (v1 and v2) Flow in Relativistic Heavy-Ion Collisions at Energies between 4 GeV and 200 GeV

Basic features of directed and elliptic flows of identified hadrons in heavy-ion collisions at intermediate and high energies are considered within two transport string models, UrQMD and QGSM. Both models indicate changing of the sign of proton directed flow at midrapidity from antiflow to normal flow with decreasing energy of collisions. The origin of this effect is traced to hadron rescattering in baryon-rich remnants of the colliding nuclei. To distinguish the effect of rescattering from the flow softening caused by creation of quark-gluon plasma one has to compare heavy-ion and light-ion collisions at the same energy. Both directed and elliptic flows at midrapidity are formed within t = 10-12 fm/c. The differences in the development of elliptic flows of mesons and baryons are found at high energies. These differences can be explained by dissimilar freeze-out conditions, thus suggesting simultaneous study of particle collective flow and freeze-out

Anisotropic ( v 1 and v 2 ) Flow in Relativistic Heavy-Ion Collisions at Energies between 4 GeV and 200 GeV

Basic features of directed and elliptic flows of identified hadrons in heavy-ion collisions at intermediate and high energies are considered within two transport string models, UrQMD and QGSM. Both models indicate changing of the sign of proton directed flow at midrapidity from antiflow to normal flow with decreasing energy of collisions. The origin of this effect is traced to hadron rescattering in baryon-rich remnants of the colliding nuclei. To distinguish the effect of rescattering from the flow softening caused by creation of quark-gluon plasma one has to compare heavy-ion and light-ion collisions at the same energy. Both directed and elliptic flows at midrapidity are formed within t = 10-12 fm/c. The differences in the development of elliptic flows of mesons and baryons are found at high energies. These differences can be explained by dissimilar freeze-out conditions, thus suggesting simultaneous study of particle collective flow and freeze-out