Dynamic screening effects on semiclassical electron captures in kappa-Maxwellian plasmas

Abstract

Dynamic plasma screening effects on the electron capture process in kappa-Maxwellian plasmas are investigated using the semiclassical version of the Bohr-Lindhard model. The interaction potential and screened electron capture radius are obtained by considering the longitudinal component of the plasma dielectric function. The semiclassical electron capture probability is also obtained as a function of the impact parameter, Debye length, projectile velocity, and spectral index. It is found that the dynamic screening effects on the electron capture probability are more significant for low projectile energies. The maximum position of the scaled electron capture probability approaches the target nucleus with increasing projectile energy. The dynamic screening effect is also found to decrease with increasing spectral index.

Hydrogen atoms in Debye plasma environments

“…Finally, we mention that interested readers in dynamic screening effects are referred to the references where such effects were studied for electron capture processes 37,38 and for constructing dynamic screening potential using the plasmas dielectric functions in a calculation of election capture cross sections. 39…”

Stark shifts and widths of a hydrogen atom in Debye plasmas

“…19 for calculations of electron capture cross sections in -Maxwellian plasmas. For dense plasmas and for the situations when the energy of the autoionization electron is low, the screening effects may become more important.…”

The hydrogen atom in plasmas with an external electric field

“…This is important as the dynamic shielding effect plays a crucial role in various plasmas, including both weakly coupled and strongly coupled plasmas. [30][31][32][33][34][35][36][37][38][39] The screening parameter k, also known as the shielding parameter, is given as a function of the plasma temperature T and the number density n, k ¼ ð e 0 k B T e 2 n Þ 1=2 . Here k and k B are the Debye screening length and Boltzmann constant, respectively.…”