CORE 2.1 (COmpendium of RElations, Version 2.1)

The present CORE 2.1 (COmpendium of RElations, Version 2.1) contains various formulas and relations used in the practical calculations in the Standard Model. The properties of the Pauli, Dirac, Gell--Mann matrices, wave functions of free fermions and gauge bosons are considered. We present the full Lagrangian of the Standard Model and the corresponding Feynman rules. The method of the evaluation of the Feynman (loop) integrals and calculations in non-covariant gauges is considered. We discuss in brief the relativistic kinematic and present a large number of the matrix elements of the various processes in the Standard Model.Comment: 108 pages, the full text is submitted as four compressed and uuencoded PostScript file

CORE 3.1 (COmpendium of RElations, Version 3.1)

The present CORE 3.1 (COmpendium of RElations, Version 3.1) contains various formulas and relations used in the practical calculations in the Standard Model. The properties of the Pauli, Dirac, Gell--Mann matrices, wave functions of free fermions and gauge bosons are considered. We present the full Lagrangian of the Standard Model and the corresponding Feynman rules. The method of the evaluation of the Feynman (loop) integrals and calculations in non-covariant gauges is considered. We discuss in brief the relativistic kinematic and present a large number of the matrix elements of the various processes in the Standard Model.Comment: 80 pages, 21 figures, scripts.sty. arXiv admin note: substantial text overlap with arXiv:hep-ph/950745

An integrated approach to assess the complications of deforming osteoarthritis in sports medicine

Objective: prognosis of thromboembolic complications using clinical diagnostic markers.Materials and methods. The study involved 151 patients who underwent total arthroplasty (TA) of large joints of the lower extremities. Blood serum was studied at the patient’s admission to the hospital, after surgery, and at discharge from the hospital. The following parameters were determined: cell-molecular marker vascular endothelial growth factor (VEGF), a genetic study was performed using the “Plasma screen. Plasma factors of the blood clotting system”. The content of VEGF was determined in blood serum using solid-phase enzyme immunoassay. The effectiveness of diagnostics based on sensitivity and specificity analysis was considered by constructing a ROC analysis at different points of separation of the values of the studied indicators.Results. Diagnostic significance of VEGF and the efficiency of determining PAI-1 were determined. In patients with elevated VEGF values (>183.6 pg/ml), PAI-1 gene polymorphism was detected, which reduces the fibrinolytic activity of the blood system and increases the risk of coronary disorders. This is especially important for patients in a hospital with a large number of risk factors for the development of VTEC due to prolonged immobilization of the limb. The study made it possible to determine that with VEGF values up to 183.6 pg/ml, a low probability of thromboembolic complications is predicted, and with values above 183.6 pg/ml — high.Conclusion. The course of DOA in athletes may be complicated by surgical intra-articular interventions of traumatological and orthopedic profile, which does not exclude the development of VTEO, significantly complicating drug therapy and the rehabilitation period. The presented data show that the determination of VEGF, 5G-675 4G polymorphism of the PAI 1 gene in blood serum can be used to assess the risk of venous thromboembolic complications (VTE), contributing to modern informative diagnostics, improving the quality of life of athletes and prolonging their sports career

Relativistic quantum model of confinement and the current quark masses

We consider a relativistic quantum model of confined massive spinning quarks and antiquarks which describes leading Regge trajectories of mesons. The quarks are described by the Dirac equations and the gluon contribution is approximated by the Nambu-Goto straight-line string. The string tension and the current quark masses are the main parameters of the model. Additional parameters are phenomenological constants which approximate nonstring short-range contributions. Comparison of the measured meson masses with the model predictions allows one to determine the current quark masses (in MeV) to be $m_s = 227 \pm 5,~ m_c = 1440 \pm 10,~ m_b = 4715 \pm 20$. The chiral $SU_3$ model[23] makes it possible to estimate from here the $u$- and $d$-quark masses to be $m_u = 6.2 \pm 0.2$~ Mev and $m_d = 11.1 \pm 0.4$ Mev.Comment: 15 pages, LATEX, 2 tables. (submitted to Phys.Rev.D

Production technology of heat-resistant high-strength syntactic carbon foams for operation in extreme conditions

© Published under licence by IOP Publishing Ltd. Production technology of products based on the syntactic carbon foams designed to operate in extreme conditions is proposed. The components and regime parameters for the production of foams of an open-pore cellular structure with specified thermophysical and strength characteristics for manufacturing the large-sized products of complex shape are determined

Experimental and theoretical study of swept-wing boundary-layer instabilities. Three-dimensional Tollmien-Schlichting instability

Extensive combined experimental and theoretical investigations of the linear evolution of three-dimensional (3D) Tollmien-Schlichting (TS) instability modes of 3D boundary layers developing on a swept airfoil section have been carried out. The flow under consideration is the boundary layer over an airfoil at 35 degrees sweep and an angle of attack of +1.5 degree. At these conditions, TS instability is found to be the predominant one. Perturbations with different frequencies and spanwise wavenumbers are generated in a controlled way using a row of elastic membranes. All experimental results are deeply processed and compared with results of calculations based on theoretical approaches. Very good quantitative agreement of all measured and calculated stability characteristics of swept-wing boundary layers is achieved

Experimental and theoretical study of swept-wing boundary-layer instabilities: Unsteady crossflow instability

Extensive combined experimental and theoretical investigations of the linear evolution of unsteady (in general) Cross-Flow (CF) and threedimensional (3D) Tollmien-Schlichting (TS) instability modes of 3D boundary layers developing on a swept airfoil section have been carried out. CF-instability characteristics are investigated in detail at an angle of attack of −5○ when this kind of instability dominates in the laminarturbulent transition process, while the 3D TS-instability characteristics are studied at an angle of attack of +1.5○ when this kind of instability is predominant in the transition process. All experimental results are deeply processed and compared with results of calculations based on several theoretical approaches. For the first time, very good quantitative agreement of all measured and calculated stability characteristics of swept-wing boundary layers is achieved both for unsteady CF- and 3D TS-instability modes for the case of a boundary layer developing on a real swept airfoil. The first part of the present study (this paper) is devoted to the description of the case of CF-dominated transition, while the TS-dominated case will be described in detail in a subsequent second part of this investigation

Verification and characterization of predominant instabilities of swept-wing boundary layers

The problem of identification and verification of the most important linear stability mechanisms of initial stages of laminar-turbulent transition in three-dimensional (3D) swept-wing boundary layers is discussed based on experimental and theoretical investigations performed, in particular, for real swept airfoil sections. Detailed analysis of all main boundary-layer stability characteristics with respect to the cross-flow (CF) instability modes and 3D Tollmien-Schlichting (TS) instability modes is carried out based on experimental data, as well as on computations within the framework of linear stability theories and the Parabolized Stability Equation (PSE) approach. The possibility of a very good agreement between all main measured and calculated stability characteristics is shown. Role of surface curvature and base-flow non-parallelism is discussed

Heuristic Models of Two-Fermion Relativistic Systems with Field-Type Interaction

We use the chain of simple heuristic expedients to obtain perturbative and exactly solvable relativistic spectra for a family of two-fermionic bound systems with Coulomb-like interaction. In the case of electromagnetic interaction the spectrum coincides up to the second order in a coupling constant with that following from the quantum electrodynamics. Discrepancy occurs only for S-states which is the well-known difficulty in the bound-state problem. The confinement interaction is considered too. PACS number(s): 03.65.Pm, 03.65.Ge, 12.39.PnComment: 16 pages, LaTeX 2.0