title: ÐÐ·ÑÑÐµÐ½Ð¸Ðµ ÑÑÑÐµÐºÑÐ¾Ð² Ð¼Ð½Ð¾Ð³Ð¾ÐºÑÐ°ÑÐ½Ð¾Ð³Ð¾ ÐºÑÐ»Ð¾Ð½Ð¾Ð²ÑÐºÐ¾Ð³Ð¾ ÑÐ°ÑÑÐµÑÐ½Ð¸Ñ Ð² ÑÐ¸ÑÑÐµÐ¼Ðµ Ð¿ÑÐ¾Ð¿Ð¾ÑÑÐ¸Ð¾Ð½Ð°Ð»ÑÐ½ÑÑ ÐºÐ°Ð¼ÐµÑ Ð² ÑÐºÑÐ¿ÐµÑÐ¸Ð¼ÐµÐ½ÑÐµ Ð¿Ð¾ Ð¿ÑÐµÑÐ¸Ð·Ð¸Ð¾Ð½Ð½Ð¾Ð¼Ñ Ð¸Ð·Ð¼ÐµÑÐµÐ½Ð¸Ñ ÑÐ°Ð´Ð¸ÑÑÐ° Ð¿ÑÐ¾ÑÐ¾Ð½Ð° Ð² ep-ÑÐ°ÑÑÐµÑÐ½Ð¸Ð¸
title: Ð²ÑÐ¿ÑÑÐºÐ½Ð°Ñ ÐºÐ²Ð°Ð»Ð¸ÑÐ¸ÐºÐ°ÑÐ¸Ð¾Ð½Ð½Ð°Ñ ÑÐ°Ð±Ð¾ÑÐ° Ð±Ð°ÐºÐ°Ð»Ð°Ð²ÑÐ°
titleType: Subtitle
title: Studying the effects of multiple Coulomb scattering in a system of proportional chambers in an experiment on precision measurement of the proton radius in ep - scattering
Creators: name: ÐÑÐ¸Ð²Ð¾Ð²ÑÐ·ÐµÐ½ÐºÐ¾, ÐÐ¾Ð»Ð¸Ð½Ð°
Publisher: name: Ð¡Ð°Ð½ÐºÑ-ÐÐµÑÐµÑÐ±ÑÑÐ³ÑÐºÐ¸Ð¹ Ð¿Ð¾Ð»Ð¸ÑÐµÑÐ½Ð¸ÑÐµÑÐºÐ¸Ð¹ ÑÐ½Ð¸Ð²ÐµÑÑÐ¸ÑÐµÑ ÐÐµÑÑÐ° ÐÐµÐ»Ð¸ÐºÐ¾Ð³Ð¾
Year: 2024
Subjects: Ð¼Ð½Ð¾Ð³Ð¾ÐºÑÐ°ÑÐ½Ð¾Ðµ ÐºÑÐ»Ð¾Ð½Ð¾Ð²ÑÐºÐ¾Ðµ ÑÐ°ÑÑÐµÑÐ½Ð¸Ðµ
ÑÐ°Ð´Ð¸ÑÑ Ð¿ÑÐ¾ÑÐ¾Ð½Ð°
ÑÐ¿ÑÑÐ³Ð¾Ðµ ÑÐ»ÐµÐºÑÑÐ¾Ð½-Ð¿ÑÐ¾ÑÐ¾Ð½Ð½Ð¾Ðµ ÑÐ°ÑÑÐµÑÐ½Ð¸Ðµ
ÑÐºÑÐ¿ÐµÑÐ¸Ð¼ÐµÐ½Ñ PRES
ÑÑÐµÐºÐ¾Ð²Ð°Ñ ÑÐ¸ÑÑÐµÐ¼Ð°
ÑÐºÑÐ¿ÐµÑÐ¸Ð¼ÐµÐ½Ñ PRad
Ð²ÑÐµÐ¼Ñ-Ð¿ÑÐ¾ÐµÐºÑÐ¸Ð¾Ð½Ð½Ð°Ñ ÐºÐ°Ð¼ÐµÑÐ°
multiple Coulomb scattering
proton radius
elastic electron-proton scattering
PRES experiment
tracking system
PRad experiment
time-projection chamber

description: Ð ÑÐ°Ð±Ð¾ÑÐµ Ð¿ÑÐµÐ´ÑÑÐ°Ð²Ð»ÐµÐ½Ð¾ Ð¸Ð·ÑÑÐµÐ½Ð¸Ðµ ÑÑÑÐµÐºÑÐ¾Ð² Ð¼Ð½Ð¾Ð³Ð¾ÐºÑÐ°ÑÐ½Ð¾Ð³Ð¾ ÑÐ°ÑÑÐµÑÐ½Ð¸Ñ Ð¿ÑÐ¸ Ð¿ÑÐ¾ÑÐ¾Ð¶Ð´ÐµÐ½Ð¸Ð¸ Ð¿ÑÑÐºÐ° ÑÐ»ÐµÐºÑÑÐ¾Ð½Ð¾Ð² ÑÐµÑÐµÐ· Ð²ÐµÑÐµÑÑÐ²Ð¾ Ð¿ÑÐ¾Ð¿Ð¾ÑÑÐ¸Ð¾Ð½Ð°Ð»ÑÐ½ÑÑ ÐºÐ°Ð¼ÐµÑ Ð² ÑÑÐµÐºÐ¾Ð²Ð¾Ð¹ ÑÐ¸ÑÑÐµÐ¼Ðµ Ð² ÑÐºÑÐ¿ÐµÑÐ¸Ð¼ÐµÐ½ÑÐµ PRES Ð¿Ð¾ Ð¿ÑÐµÑÐ¸Ð·Ð¸Ð¾Ð½Ð½Ð¾Ð¼Ñ Ð¸Ð·Ð¼ÐµÑÐµÐ½Ð¸Ñ ÑÐ°Ð´Ð¸ÑÑÐ° Ð¿ÑÐ¾ÑÐ¾Ð½Ð° Ð² ÑÐ¿ÑÑÐ³Ð¾Ð¼ ÑÐ»ÐµÐºÑÑÐ¾Ð½-Ð¿ÑÐ¾ÑÐ¾Ð½Ð½Ð¾Ð¼ ÑÐ°ÑÑÐµÑÐ½Ð¸Ð¸.Â  Ð¦ÐµÐ»Ñ ÑÐ°Ð±Ð¾ÑÑ â Ð¿Ð¾Ð»ÑÐ·ÑÑÑÑ Ð¿ÑÐ¾Ð³ÑÐ°Ð¼Ð¼Ð½ÑÐ¼Ð¸ Ð¿Ð°ÐºÐµÑÐ°Ð¼Ð¸ ÑÐ°ÑÑÐ¼Ð¾ÑÑÐµÑÑ, ÐºÐ°Ðº Ð²Ð»Ð¸ÑÐµÑ Ð¸ÑÑÐ»ÐµÐ´ÑÐµÐ¼ÑÐ¹ ÑÐ¸Ð·Ð¸ÑÐµÑÐºÐ¸Ð¹ Ð¿ÑÐ¾ÑÐµÑÑ Ð½Ð° ÑÐ¾ÑÐ½Ð¾ÑÑÑ Ð¸Ð·Ð¼ÐµÑÐµÐ½Ð¸Ð¹ Ð² ÑÐºÐ°Ð·Ð°Ð½Ð½Ð¾Ð¼ ÑÐºÑÐ¿ÐµÑÐ¸Ð¼ÐµÐ½ÑÐµ, Ð¸Ð¼ÐµÐµÑ Ð»Ð¸ Ð¾Ð½ Ð¼ÐµÑÑÐ¾ Ð±ÑÑÑ Ð¸ Ð²Ð¾Ð·Ð¼Ð¾Ð¶Ð½Ð¾ Ð»Ð¸ Ð¸Ð¼ Ð¿ÑÐµÐ½ÐµÐ±ÑÐµÑÑ. Ð ÐºÐ°ÑÐµÑÑÐ²Ðµ Ð¼ÐµÑÐ¾Ð´Ð° Ð¸ÑÑÐ»ÐµÐ´Ð¾Ð²Ð°Ð½Ð¸Ñ Ð²ÑÐ±ÑÐ°Ð½Ð¾ Ð¼Ð¾Ð´ÐµÐ»Ð¸ÑÐ¾Ð²Ð°Ð½Ð¸Ðµ ÑÐºÑÐ¿ÐµÑÐ¸Ð¼ÐµÐ½ÑÐ°Ð»ÑÐ½Ð¾Ð¹ ÑÑÑÐ°Ð½Ð¾Ð²ÐºÐ¸ Ð² Ð¿ÑÐ¾Ð³ÑÐ°Ð¼Ð¼Ð½Ð¾Ð¼ Ð¿Ð°ÐºÐµÑÐµ GEANT4 Ñ Ð´Ð°Ð»ÑÐ½ÐµÐ¹ÑÐµÐ¹ Ð¾Ð±ÑÐ°Ð±Ð¾ÑÐºÐ¾Ð¹ ÑÐµÐ·ÑÐ»ÑÑÐ°ÑÐ¾Ð² Ð¼Ð¾Ð´ÐµÐ»Ð¸ÑÐ¾Ð²Ð°Ð½Ð¸Ñ Ð² Ð¿Ð°ÐºÐµÑÐµ ROOT. Ð ÑÐµÐ·ÑÐ»ÑÑÐ°ÑÐµ ÑÐ°Ð±Ð¾ÑÑ Ð¿Ð¾Ð»ÑÑÐµÐ½Ñ ÑÐ°ÑÐ¿ÑÐµÐ´ÐµÐ»ÐµÐ½Ð¸Ñ Ð¾ÑÐºÐ»Ð¾Ð½ÐµÐ½Ð¸Ð¹ ÑÐ³Ð»Ð° ÑÐ°ÑÑÐµÑÐ½Ð¸Ñ ÑÐ»ÐµÐºÑÑÐ¾Ð½Ð¾Ð² Ð¿ÑÐ¸ Ð¿ÑÐ¾ÑÐ¾Ð¶Ð´ÐµÐ½Ð¸Ð¸ ÑÐµÑÐµÐ· ÐºÐ°Ð¼ÐµÑÑ ÑÑÐµÐºÐ¾Ð²Ð¾Ð¹ ÑÐ¸ÑÑÐµÐ¼Ñ. ÐÐ¾ Ð½Ð¸Ð¼ ÑÐ´ÐµÐ»Ð°Ð½ Ð²ÑÐ²Ð¾Ð´, ÑÑÐ¾ Ð¼Ð½Ð¾Ð³Ð¾ÐºÑÐ°ÑÐ½Ð¾Ðµ ÑÐ°ÑÑÐµÑÐ½Ð¸Ðµ ÑÑÑÐµÑÑÐ²ÐµÐ½Ð½Ð¾, Ð¸Ð¼ Ð½ÐµÐ»ÑÐ·Ñ Ð¿ÑÐµÐ½ÐµÐ±ÑÐµÑÑ Ð¿ÑÐ¸ Ð¸Ð·Ð¼ÐµÑÐµÐ½Ð¸ÑÑ Ð² Ð´Ð°Ð½Ð½Ð¾Ð¼ ÑÐºÑÐ¿ÐµÑÐ¸Ð¼ÐµÐ½ÑÐµ Ð¸ Ð²Ð°Ð¶Ð½Ð¾ ÐµÐ³Ð¾ ÑÑÐ¸ÑÑÐ²Ð°ÑÑ Ð½Ðµ ÑÐ¾Ð»ÑÐºÐ¾ Ð¿ÑÐ¸ Ð¸Ð·Ð¼ÐµÑÐµÐ½Ð¸ÑÑ, Ð½Ð¾ Ð¸ Ð¿ÑÐ¸ Ð²ÑÑÐ¸ÑÐ»ÐµÐ½Ð¸ÑÑ, Ð¾ÑÐ½Ð¾Ð²Ð°Ð½Ð½ÑÑ Ð½Ð° ÑÑÐ¸Ñ ÑÐºÑÐ¿ÐµÑÐ¸Ð¼ÐµÐ½ÑÐ°Ð»ÑÐ½ÑÑ Ð´Ð°Ð½Ð½ÑÑ, Ð¿Ð¾ÑÐºÐ¾Ð»ÑÐºÑ ÑÐ³Ð¾Ð» ÑÐ°ÑÑÐµÑÐ½Ð¸Ñ Ð²ÑÐ¾Ð´Ð¸Ñ Ð½ÐµÐ¿Ð¾ÑÑÐµÐ´ÑÑÐ²ÐµÐ½Ð½Ð¾ Ð² ÑÐ¾ÑÐ¼ÑÐ»Ñ ÑÐ¿ÑÑÐ³Ð¾Ð³Ð¾ ep-ÑÐ°ÑÑÐµÑÐ½Ð¸Ñ.Â 
description: The given work is devoted to a study of the effects of multiple scattering during the passage of an electron beam through the substance of proportional chambers in a track system in the PRES experiment on precision measurement of the proton radius in elastic electron-proton scattering.Â  The purpose of the work is to use software packages to consider how the studied physical process affects the accuracy of measurements in the experiment, whether it takes place and whether it is possible to neglect it. The simulation of an experimental installation in the GEANT4 software package with further processing of the simulation results in the ROOT software package was chosen as the research method. As a result of the work, distributions of deviations of the electron scattering angle during passage through the chambers of the track system are obtained. According to them, it is concluded that multiple scattering is essential, it cannot be neglected during measurements in this experiment, and it is important to take it into account not only during measurements, but also during calculations based on these experimental data, since the scattering angle is directly included in the elastic ep-scattering formula.