Scientific Journal of KubSAU

Polythematic online scientific journal
of Kuban State Agrarian University
ISSN 1990-4665
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973 kb

QUARK DYNAMICS IN ATOMIC NUCLEI AND QUARK SHELLS

abstract 0861302059 issue 86 pp. 836 – 863 28.02.2013 ru 1629
In this paper we consider a system of Dirac equations describing the dynamics of quarks in the metric of the atomic nuclei. We found out, that the binding energy of the nucleons for all known nuclides depends on the content of the quarks. The resulting dependence of the energy of the nucleons shows a quark shells, similar to electron shells. Our basic assumption is that each nucleon in the nucleus loses its individuality by dissociation to individual quarks that form quark shells. These shells are filled sequentially, just as filled electron shells. Since the nucleons are composed of two types of quarks, there are two types of shells that are filled with u and d quarks, respectively. In this case, the binding energy per nucleon depends on the concentration of quarks in the shells and the energy of the interaction of quarks.
450 kb

QUARK DYNAMICS IN ATOMIC NUCLEI AND QUARK SHELLS

abstract 0861302048 issue 86 pp. 677 – 700 28.02.2013 ru 1917
In this article, we consider a system of Dirac equations describing the dynamics of quarks in the metric of the atomic nuclei. We found out, that the binding energy of the nucleons for all known nuclides depends on the content of the quarks. The resulting dependence of the energy of the nucleons shows a quark shells, similar electron shells
322 kb

DYNAMICS OF QUARKS IN THE BARYON METRIC AND THE STRUCTURE OF NUCLEI

abstract 0851301049 issue 85 pp. 624 – 637 28.01.2013 ru 1930
In this paper we consider a system of Dirac equations describing the dynamics of quarks in hadrons metric. The magnetic moment and the energy of the nucleons in the case of deuterium nuclei calculated.
449 kb

DETERMINATION OF DIELECTRIC PARAMETERS OF SEEDS OF AGRICULTURAL CROPS WITH THE EFFECTS OF LATERAL ELECTRIC FIELD OF MEASURING CAPACITOR

abstract 0851301024 issue 85 pp. 316 – 325 28.01.2013 ru 1716
In the article, the technique of experimental determination of dielectric permeability and a tangent of an angle of dielectric losses of mixed seeds of agro cultures – air by means of measurement of the electric capacity of the cell of a flat condenser which has been densely filled with seeds in a range of frequencies of 1 kHz – 1 MHz is presented
1033 kb

DYNAMICS OF QUARKS IN THE HADRONS METRICS WITH APPLICATION TO THE BARYON STRUCTURE

abstract 0851301042 issue 85 pp. 526 – 543 28.01.2013 ru 1372
The dynamics of quarks in hadrons metric is investigated. A model of baryons in the case of a stationary metric formulated. The magnetic moments of the proton, neutron and lambda baryon calculated. The metric of hadrons is determined from the Yang-Mills theory. The result is a bubble metric containing only the time and angular coordinates. We find that there may be a spherical particle, which expand in sync with the space of the universe. Therefore, they appear to the outside observer static entities having spherical symmetry, such as protons. We have shown that the quarks in the hadrons metric can be described on the basis of the Dirac equation and the equations of quantum electrodynamics. The closure model formulated and the magnetic moments of hadrons (uud), (udd) and (sdu) at given energy and given electric charge are calculated. The investigated region corresponds to the resonance energy of the quarks system, in which, apparently, pi mesons can be generated.
472 kb

HADRONS METRICS SIMULATION ON THE YANG-MILLS EQUATIONS

abstract 0841210068 issue 84 pp. 865 – 879 28.12.2012 ru 892
In this article we consider the Yang-Mills theory in connection with the Einstein and Maxwell equations. The model of a metric satisfying the basic requirements of particle physics and cosmology is proposed. Firstly we consider the example of a purely temporary solution of the Yang-Mills equations in the space of torsion-free and the basic equations of the model of the cosmological scale. Some exact solutions and numerical model in a case, when density of baryonic matter and electromagnetic energy density remains constant over time been investigated. We obtained the solution combines the properties of Einstein's model, and Friedman’s model as well, describes the universe as a time-dependent metric, and with a constant density distribution of baryonic matter and electromagnetic field. Secondly, the model of the proton scale proposed. We proved that the metric of the observable universe is associated with a metric of the periodic lattice, given by the Weierstrass function. We find that there may be a spherical particle, which expand in sync with the space of the universe. Therefore, from the point of view of the outside observer they seem having static form like protons.
140 kb

MATHEMATICAL MODELING OF FINANCIAL PYRAMID SCHEME. PART 2. DISCRETE MODELS

abstract 0821208030 issue 82 pp. 389 – 401 31.10.2012 ru 1765
This article analyzes the changes in the number of cases of various clients of the pyramid and the establishment of the basic rules of the pyramid schemes based on discrete models. The article is also a continuation of previous work [1], which had formulas to simulate the amount collected by the pyramid scheme
132 kb

MATHEMATICAL MODELING OF FINANCIAL PYRAMID SCHEME. PART 1. DEFINITIONS

abstract 0821208029 issue 82 pp. 378 – 388 31.10.2012 ru 2319
The article analyzes the various approaches to the mathematical modeling of financial pyramids. It considered “economically rational subject”, game approach and the approach of Dubovsky. In this article, the mathematical models of the unproblematic approaches examined; we also analyzed their characteristics, including the dependence of the lifetime of the pyramid of accrued interest and the number of clients, the maximum possible profit of the founders of the pyramid, etc. This work analyzes the various options of the campaign, including whether the implicit advertising company, which arises from the spread of the financial company clients and rumors about their income
127 kb

MATHEMATICAL MODELING OF FINANCIAL PYRAMID SCHEME. PART 2. CONTINUOUS MODELS

abstract 0821208031 issue 82 pp. 402 – 412 31.10.2012 ru 1380
This article is devoted to the analysis of different cases of changing the number of customers of the financial pyramid and the establishment of the basic rules of the pyramid schemes on the basis of continuous models, and it is a continuation of works [1, 2], which had formulas to simulate the amount collected by the pyramid scheme and it considers the discrete models
183 kb

INTERFEROMETRIC METHOD OF LASER RADIATION TRANSMISSION USING FREE SPACE OPTICS

abstract 0821208057 issue 82 pp. 796 – 807 31.10.2012 ru 2166
The analysis of the various conditions of the two (four) laser radiation streams coherent addition was realized. It is shown that it is possible to create devices providing continuous subtraction of waves. In such radiation stream a continuous subtraction on the line can be replaced by the continuous addition on the photomultiplier by using a dispersive delay line. The research results can be used for creation of modern open atmospheric connection lines
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