Abstract
Standard classical and quantum-mechanical methods are used to characterize the momentum-transfer cross section needed in energy-loss calculations and simulations for heavy, swift charges moving in an electron gas. By applying a well-known, finite-range screened Coulombic potential energy to model the two-body collision, the quantitative applicability range of the classical cross section is investigated as a function of charge $(Z)$, screening length $(R)$, and scattering relative velocity $(v)$. The a posteriori condition $(Z∕R)∕{v}^{2}<1$, as an upper bound for heavy charges, is deduced for this applicability range from the comparative study performed.
Highlights
The use of moving external charges as probes of static and dynamical properties of matter dates back to the earliest days of modern physics
Standard classical and quantum-mechanical methods are used to characterize the momentum-transfer cross section needed in energy-loss calculations and simulations for heavy, swift charges moving in an electron gas
Motivated by the charge-sign effect in stopping, the above potential with Z = ± 1 ͑proton and antiproton11,12͔ ͒ and Z = ± 2 has been used13͔ to the impactparameter-based description of the transport cross section
Summary
The use of moving external charges as probes of static and dynamical properties of matter dates back to the earliest days of modern physics. Transport cross sections based on a screened interaction potential: Comparison of classical and quantum-mechanical results Standard classical and quantum-mechanical methods are used to characterize the momentum-transfer cross section needed in energy-loss calculations and simulations for heavy, swift charges moving in an electron gas.
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