Speaker
Description
The study of bound states in dense plasma has always been of great scientific interest. It is known that the plasma environment leads to screening of the charge’s field not only in free states but also in the bound states. In particular, this leads to broadening and shift of the spectral lines [1-2]. Also, due to the screening effect, as well as the energy level broadening in the external plasma microfield, the upper energy levels cease to exist. This trend intensifies with increasing plasma density. Thus, when a certain critical density value is reached, a sharp increase in electrical conductivity occurs. This is connected, as already noted, with the disappearance of bound states (pressure ionization). Mott was the first, who connected this phenomenon with the screening of the Coulomb interaction, therefore it was called the Mott transition [3-6]. The Mott effect is taken into account to determine the dense plasma composition, for example, by solving the Saha equation with introduction of the lowering of the ionization potential. The correction to the ionization potential depends on the screening effect.
In this work, the interaction potential [7] of dense plasma particles, which takes into account the effect of quantum non-locality as well as electronic correlations, was used to solve the Schrödinger equation for the hydrogen atom. Energies of bound states and wave functions of the hydrogen atom were calculated. The results obtained are in good agreement with the results of other authors. Then, using these data, the cross sections for the excitation of a hydrogen atom by electron impact were calculated.
Acknowledgement
The authors acknowledge support from the Committee of Science of the Ministry of Science and Higher Education of the Republic of Kazakhstan under Grant No. AP19679049.
[1] A. Soylu, Phys. Plasmas 19, 072701 (2012).
[2] N. Bedida et al., Contrib. Plasma Phys. 59, 63 (2018).
[3] W. Ebeling et al., J. Phys. A: Math. Theor. 42, 214033 (2009).
[4] W. Ebeling, W. D. Kraeft, D. Kremp, Theory of Bound States and Ionization Equilibrium in Plasmas and Solids (Akademie, Berlin, 1976), p. 171.
[5] W. Ebeling et al., Contrib. Plasma Phys. 61, e202100085 (2021).
[6] W. Ebeling et al., Eur. Phys. J. Special Topics 229, 3403 (2020).
[7] E. O. Shalenov et al., Contrib. Plasma Phys. 62 (10), e202200017 (2022).
