Causality principle in three-dimensional field-theoretical equations obtained on basis of S -matrix equations of Bogolyubov-Medvedev-Polivanov and their applications for few body systems and in high-energy physics

Семинары

Семинар «Физика адронов»

Дата и время: пятница, 12 ноября 2021 г., в 11:00

Место: Онлайн конференция в Zoom, Лаборатория теоретической физики им. Н. Н. Боголюбова

Тема семинара: «Causality principle in three-dimensional field-theoretical equations obtained on the basis of the S-matrix equations of Bogolyubov-Medvedev-Polivanov and their applications for few body systems and in high-energy physics»

Докладчик: Мачавариани Александр (ЛФВЭ ОИЯИ и ТГУ,Тбилиси, Грузия)

Аннотация:

Taking into account the principle of causality the relativistic equations for the multi-channel hadron scattering amplitudes are derived within the S-matrix method of Bogolyubov. The resulting equations have the form of three-dimensional time-ordered relativistic equations. The form and structure of these three-dimensional relativistic equations does not change if the quark degrees of freedom are taken into account based on the Huang-Weldon formulation, where hadrons are considered as bound states of quarks.
The equivalence of the field-theoretical S-matrix methods of Bogolyubov and Lehman-Simanczyk-Zimmerman is considered.
It is shown that take into account the causality principle in the suggested field-theoretical equations reduces to the special shifts on magnitudes of the momentums in s, u, u, t,t channels. At the same time, unitarity in the s-channel is preserved for equations with and without quark degrees of freedom.
Numerical solutions of the obtained equations do not require additional efforts in comparison with similar Lippmann-Schwinger equations in non-relativistic collision theory. A good description was obtained of the experimental phases of elastic πN and NN scattering in the low energy region Quark-parton model for inclusive generation of particles with large transverse momentum is reproduced using a separable approximation. This made it possible to describe experimental data of the inclusive production of a ρ-meson with a large transverse momentum (<1.5 GeV/s) in a proton-proton collision in the energy region 2.9< s<64 GeV.