Electron capture in the Lorentzian distribution plasma

Electron captures from hydrogenic ions by protons in a generalized Lorentzian (kappa) velocity distribution plasma are investigated using the semiclassical Bohr–Lindhard model. The potential energy between the projectile ion and the released electron is obtained by introduction of the plasma dielectric function. The straight-line trajectory approximation is applied to the motion of the projectile ion in order to obtain the electron capture probability as a function of impact parameter, collision energy, and spectral index κ. It is found that the semiclassical capture probability including the dynamic plasma screening effect is increased with increasing the spectral index. The plasma screening effects on the electron capture probabilities are found to be more effective for low projectile velocities. It is also found that the dynamic plasma screening effect on the electron capture probability in the Lorentzian distribution plasma is stronger than that in the Maxwellian distribution plasma since the effective Debye length in the Lorentzian plasma is smaller than the Debye length in the Maxwellian plasma.