Eikonal Approximation in HighEnergy Physics 1 2 N

Eikonal Approximation in High-Energy Physics 1, 2 N. F. Shul’ga , V. D. 1 Koriukina National Science Center ‘Kharkov Institute of Physics and Technology’, Kharkov, Ukraine; 2 V. N. Karazin Kharkiv National University, Kharkov, Ukraine 1

Charged High-Energy Particle Scattering •

Atoms Distribution Function in Different Medias •

The Scattering on the Atoms Chain in the Born Approximation •

The Scattering on the Atoms Chain in the Eikonal Approximation •

The Scattering in the Amorphous Media in the Eikonal Approximation •

The Scattering on the Crystalline Plane with Amorphous Distribution of Atoms •

Conclusion The coherent and incoherent scattering processes of fast charged particles in crystals were considered from a unified point of view on the example of particles falling along one chain of atoms and one crystallographic plane in the eikonal and Born approximations. It was shown that our result in the Born approximation is consistent with the main results of theory of M. L. Ter-Mikaelyan [1] about the processes of coherent radiation of ultrarelativistic electrons in a crystal, the scattering cross section splits into cross sections of coherent and incoherent scattering. If the Born approximation condition of applicability is violated, the scattering pattern is more complex. In this case, the separation of the scattering cross section into coherent and incoherent components is generally absent. For scattering on one crystalline plane, it is shown that the scattering cross section in this case has a different structure in the scattering direction along the crystalline plane and in the transverse direction. The results indicate the need for a more detailed analysis of the inclusion of incoherent scattering processes in the simulation of electromagnetic processes in crystals at high energies. [1] Тер-Микаелян М. Л. Влияние среды на электромагнитные процессы при высоких энергиях. – Ереван: Издательство Академии наук Армянской ССР. – 1969. – 457 с.

Sources 1. Тер-Микаелян М. Л. Влияние среды на электромагнитные процессы при высоких энергиях. – Ереван: Издательство Академии наук Армянской ССР. – 1969. – 457 с. 2. Bethe H. Molière's Theory of Multiple Scattering – Phys. Rev. – 1953. – V. 89. – p. 1256 3. Moliere G. Theorie der Streuung schneller geladener Teilchen II: Mehrfach- und Vielfachstreuung – Z. Naturforsch. – 1948. – V. 3 a. – p. 78 4. Ахиезер А. И. , Шульга Н. Ф. Электродинамика высоких энергий в веществе. М. : Наука. Гл. ред. физ. -мат. лит. , 1993. – 344 с. 5. Ахиезер А. И. , Берестецкий В. Б. Квантовая электродинамика– М. : Наука, 1981. – 428 с. 6. N. F. Shul'ga, V. D. Koriukina. On coherent and incoherent scattering of charged high energy particles in thin crystals – abstract for International Symposium «RREPS-17» , Hamburg, 2017 7. N. F. Shul'ga, V. D. Koriukina. Processes of coherent and incoherent scattering of charged high-energy particles in ultrathin targets – abstract for 8 -th International Conference Charged & Neutral Particles Channeling Phenomena (Channeling 2018)

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