Elaborate coupled static formalism is employed for treatment of proton-lithium collisions at wide range of incident energies between 10 and 1000 Kev. Coupled static and frozen core approximations are employed for calculating partial and total cross sections. Only elastic and formation of excited hydrogen, H(2s), channels are considered. Total cross sections are calculated using seven partial waves Green’s function expansion technique of total angular momentum ℓ (0≤ℓ≤6). Proposed iterative approach allows for reliable representation of the core potentials using elaborate variational calculation of target orbitals. Polarization potential of lithium atom is taken into consideration in calculating corresponding total cross sections. Quite interesting reliable results were obtained in comparison with other theoretical approaches.
The inelastic scattering of a proton with a caesium atom is treated for the first time as a three-channel problem within the framework of the improved coupled static approximation with the assumption that the ground (1s state) and excited (2s state) hydrogen formation channels are open for seven values of the total angular momentum, ℓ ͑0 ≤ ℓ ≤ 6͒ at energies between 50 and 500 keV. The Green's function iterative numerical method is used to obtain the computer code to calculate iterative partial cross sections. This can be done through calculating the reactance matrix at different values of considered energies to obtain the transition matrix that gives partial and total cross sections. Present results give reasonable agreement with previous results. PACS Nos.: 34.80.Dp, 34.80.Gs, 34.80.Ht.
Résumé :Pour la première fois, la diffusion inélastique de protons sur des atomes de Cs est traitée comme un problème à trois canaux dans le cadre de l'approximation améliorée du couplage statique sous l'hypothèse que les canaux de formation d'hydrogène dans les états fondamental (état 1s) et excité (état 2s) sont ouverts pour sept valeurs du moment cinétique orbital, ℓ ͑0 ≤ ℓ ≤ 6͒, à des énergies entre 50 et 500 keV. Nous utilisons la méthode numérique itérative pour la fonction de Green afin d'obtenir le code source pour calculer itérativement les sections efficaces partielles. Ceci est fait via le calcul de la matrice de réactance à différentes valeurs d'énergie pour obtenir la matrice de transition qui donne les sections efficaces partielles et totale. Nos résultats sont en accord raisonnable avec des résultats antérieurs. [Traduit par la Rédaction]
We deal with the effect of polarization potentials on the inelastic scattering of protons by lithium atoms as a two-channel problem in which the elastic and hydrogen (2𝑠-state) formation channels are open at energies between 10 and 1000 keV. For this purpose, we improve the coupled-static approximation within the framework of the frozen-core picture of the target atom. We use the Lippmann-Schwinger equation and an iterative numerical method to obtain the computer code. This can be carried out by calculating the reactance matrix then to obtain the transition matrix that gives partial and total cross sections. Our results and those determined by previous researchers give reasonable agreement.
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