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0221U101382,
0119U103982
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Development of a method of multiparticle fields for elastic and inelastic hadrons scattering.
Chudak Nataliia O., Кандидат фізико-математичних наук
20-01-2021
Odessa National Polytechnic University
The object of study is relativistic proton-proton scattering. The goal is to find dynamic equations for a three-particle field and use these results to describe experimental data. Research method - the technique of application of the gauge principle for a three-particle field is developed and the generalization of this principle is carried out. Dynamic equations for this field and physically interpreted properties of their solutions are found, and expressions for integrals corresponding to the simplest Feynman loop diagrams for elastic proton scattering as quanta of a three-particle field are constructed using these results. A method for applying the Laplace method to calculate these integrals has been developed. Using this method, the model of the differential cross section of elastic scattering by the square of the transmitted four-momentum is calculated and compared with the experiment. We show how the differential cross section of elastic proton scattering by the square of the transmitted four-momentum can be calculated using the model of multiparticle fields. A single-loop diagram and an analytical expression for this loop, which contains a multidimensional integral over a virtual four-momentum and was calculated using the Laplace method, were considered. These multidimensional integrals were reduced to two-dimensional or one-dimensional and have already been calculated numerically. A qualitative coincidence of the differential cross section with the experimental data is obtained. Achieving a quantitative match with the experiment requires taking into account more loop diagrams. The Laplace method is a new method of calculating the contributions of loop diagrams, which allows the calculation of such diagrams that were previously unavailable for calculations. The developed new method of calculation expands the possibilities of researchers for such calculations not only for the scattering of bound states, but also in the description of processes with elementary
Mileva Anna O.
Neboga Ganna G.
Potienko Olexiy S.
Smolyar Volodimir P.
Chernegenko Sergiy A.
Schirbina Michaylo R.
Yushkevich Tetyana V.
2021-01-20
Updated: 2025-12-06
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