Journal
PHYSICAL REVIEW A
Volume 105, Issue 4, Pages -Publisher
AMER PHYSICAL SOC
DOI: 10.1103/PhysRevA.105.042813
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Funding
- Spanish Ministerio de Ciencia, Innovaci?n y Universidades/Agencia Estatal de Investigaci?n/European Regional Development Fund
- Euro-pean Union [RTI2018-098117-B-C22]
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The relativistic plane-wave Born approximation is used to study inelastic collisions between charged particles and atoms. The study computes a database of longitudinal and transverse generalized oscillator strengths for all subshells of the ground-state configurations of elements. The results do not satisfy the Bethe sum rule and asymptotic high-energy formulas are derived to account for relativistic departures from the rule. Shell corrections to the stopping cross section are calculated and compared with previous estimates.
The 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.
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