Salvat Gavaldà, FrancescBarjuan Ballabriga, LaiaAndreo Lillo, Patricia2024-06-212024-06-212022-04-202469-9926https://hdl.handle.net/2445/213506The relativistic plane-wave Born approximation is applied to the study of inelastic collisions of charged particles with atoms, by considering atomic wave functions calculated from the independent-electron approximation with the self-consistent Dirac-Hartree-Fock-Slater potential. A database of longitudinal and transverse generalized oscillator strengths (GOSs) has been computed by using accurate numerical methods for all the subshells of the ground-state configurations of the elements with atomic numbers from 1 (hydrogen) to 99 (einsteinium). The calculated GOS do not satisfy the Bethe sum rule; departures from the sum rule are in accordance with previous theoretical estimates. Asymptotic high-energy formulas for the total cross section, the stopping cross section, and the energy-straggling cross section are derived with proper account of the relativistic departure from the Bethe sum rule. The shell correction is calculated as the energy-dependent term that, when added to the asymptotic formula, reproduces the value of the atomic cross section calculated by integrating the energy-loss differential cross section. Shell corrections to the stopping cross section obtained from the present approach are presented and compared with previous estimates.18 p.application/pdfeng(c) American Physical Society, 2022Col·lisions (Física nuclear)Espai exteriorCollisions (Nuclear physics)Outer spaceInelastic collisions of fast charged particles with atoms: Bethe asymptotic formulas and shell correctionsinfo:eu-repo/semantics/article7241182024-06-21info:eu-repo/semantics/openAccess