Renormalization shielding and eikonal analysis on the atomic collision in dense partially ionized hydrogen plasmas

The renormalization plasma screening effects on the electron-ion collision are investigated in dense partially ionized hydrogen plasmas. The Hamilton-Jacobi and eikonal methods with the effective interaction potential are employed to obtain the eikonal scattering phase shift and eikonal cross section for the electron-ion collision. It is found that the influence of renormalization screening strongly suppresses the eikonal scattering phase shift as well as the eikonal cross section, especially, for small impact parameter regions. In addition, the renormalization screening effect reduces the total eikonal cross section in all energy domains. The variation of the renormalization effects on the electron-ion collision in dense partially ionized hydrogen plasmas is also discussed. (C) 2013 AIP Publishing LLC.This paper is dedicated to the late Professor P. K. Shukla in memory of exciting and stimulating collaborations on physical processes in dense plasmas. One of the authors (Y.-D.J.) gratefully acknowledges Professor W. Roberge for useful discussions and warm hospitality while visiting the Department of Physics, Applied Physics, and Astronomy at Rensselaer Polytechnic Institute (RPI). This research was initiated while one of the authors (Y.-D.J.) was affiliated with RPI as a visiting professor. This research was supported by the Basic Science Research Program through the National Research Foundation of Korea (NRF) funded by the Ministry of Education, Science and Technology (Grant No. 2012-001493)