Study of the structure of atomics by the method of electron scattering in the distorted-wave approximation: Atomic energy

Using distorted-wave approximation obtained the differential cross-section (DCS) of elastic scattering at energy of 80 eV of electrons on 49In, 31Ga, 34Se and 70Yb atoms, and calculated accordingly on the proposed mathematical method. The electron density distribution in the atom is chosen as a function calculated in the Dirac-Hartree-Fock-Slater approximation, which is a superposition of the spherically symmetric Yukawa potential. In addition, the DCSs were calculated for the electron density in the 49 In and 20 Ca atoms expressed as a three-parameter Fermi function at incident electron energy of 100 eV. The obtained theoretical calculations of the cross sections were compared with the experimental data. Besides, the proposed mathematical method simplifies the calculation of integral expressions and makes it possible to obtain a convenient and simple expression for the atomic form factor. Data on the scattering cross sections of electrons on atoms are of considerable interest both in the field of fundamental science for in-depth study of interaction processes and in practical applications, and are necessary in many areas of research, such as modeling low-temperature plasma, astrophysics phenomena, laser physics, and atmospheric effects etc. In addition to natural phenomena, the processes of collision of electrons with matter play an essential role in plasma technologies, such as, for example, microelectronics and biomedicine. Atomic physics, plasma physics and optics - fields directly related to electron-atom make a significant contribution to the fundamental understanding of the world. Despite the long study of the effects of electron scattering on atoms, and the results obtained in the physics of atomic collisions, this area still requires theoretical and experimental research, there is a significant lack of data on collision cross sections for their subsequent use in modeling and calculations. In particular, there are no systematized data on the cross sections for elastic scattering of high energy electrons by atomic.