Dynamics of electron capture in positron-hydrogen scattering under dense semi-classical plasmas

The scattering dynamics of electron capture in $e^{+}$-H(1 s) scattering under dense semi-classical plasma (DSCP) environments has been investigated theoretically. Coupled multi-channel two-body Lippmann-Schwinger equations have been solved by retaining $e^{+}$+H(1 s) and p + Ps(1 s) channels to calculate the cross sections (CS) of the electron capture process at intermediate and high incident energies. The effective interaction of the plasma charged particles is modelled by a pseudopotential which is a function of two parameters, namely the plasma screening strength and the de Broglie wavelength. A detailed study is made to explore the changes in the CSs of the above-mentioned process with respect to the variation in the plasma screening strength and de Broglie wavelength. Significant changes are found to take place, when the screening strength and the de Broglie wavelength are varied. Specifically, the sharp minimum in the differential CS moves toward the forward direction with increasing de Broglie wavelength at a given screening strength.