Differential Cross-Sections and Energy Shifts in Electron-Atom Scattering Under Linearly Polarized Laser Fields

This study investigates electron-atom scattering within linearly polarized laser field, employing the first-order Born approximation and perturbation theory for target dressing. The Hamiltonian integrates both unbound electron and atomic target in the laser field, with the electron's wave functions described by Gordon-Volkov waves. Elastic scattering for hydrogen atoms in various states (1s, 2s, 3s) is examined to determine differential cross-sections (DCS) and energy shifts. To study the nature of DCS and energy shifting, electric field strengths (1 to 4 a.u.), Bessel function orders (1 to 4), scattering angles (0 to 30 degrees), and laser energy (1.17 eV) are used in this research. Results indicate higher laser field strengths correlate with lower energy shifts, significantly impacting scattering dynamics, while DCS values decrease with increased scattering angles and higher Bessel function orders. The transitions involving higher orbital states show broader momentum ranges and smoother DCS decay. These findings elucidate the interplay between atomic structure, incident energy, and scattering characteristics, offering valuable insights for applications in plasma physics and materials science by aiding precise modeling of atomic interactions under varying conditions. Received: 29 July 2024 | Revised: 13 September 2024 | Accepted: 13 December 2024 Conflicts of Interest The authors declare that they have no conflicts of interest to this work. Data Availability Statement Data are available from the corresponding author upon reasonable request. Author Contribution Statement Raju Bohora: Conceptualization, Methodology, Software, Formal analysis, Investigation, Resources, Data curation, Writing – original draft, Visualization. Kishori Yadav: Validation, Writing – review & editing, Supervision, Project administration. Saddam Husain Dhobi: Conceptualization, Methodology, Software, Formal analysis, Investigation, Resources, Data curation, Writing – original draft, Visualization.