Formation of ground and excited hydrogen atoms in proton–caesium inelastic scattering

Abstract

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]

Formation of ground and excited hydrogen atoms in proton–rubidium inelastic scattering

“…The main contributions to the total hydrogen formation, H(1s) cross sections, 12 , are due to the S, P, and D partial cross sections. 2.…”

“…The seven partial waves employed are quite satisfactory for calculating the total ground hydrogen formation, H(1s), cross sections, 12 , to a higher degree of accuracy within the framework of the RCSA because the higher partial waves are very small.…”

“…Equation (A8) provides us with two roots for each ␤ i : the proper ones are those that yield minimum values for E A ͑i͒ . The polarization potentials of the second and third channels are defined by V pol H(1s) () ϭ ␤ 2 ()V 12 (2) () and V pol H(2s) ( ) ϭ ␤ 3 ( )V 12 (3) ( ) (A9)…”

“…In the present work, we have applied a technique that was recently used by Elkilany [12,13] in the collision of protons with caesium and lithium atoms, respectively, at intermediate incident energies between 10 and 500 keV. The polarization potentials of hydrogen formation in 1s-and 2s-state atoms are considered in the present calculations.…”

Theory and application of hydrogen formation in proton-alkali atom collision

“…The present work explores the possibility of producing more hydrogen through p-alkali atom collisions. In the present paper, the coupled static approximation (CSA) method, which is used by Elkilany [8][9][10][11], is modified to make it applicable to discuss the multichannel coupled static approximation (MCSA) problem (n = 4) of the collision of p-Li atoms at intermediate energies of the projectile. A numerical procedure is generalized to solve the obtained multicoupled equations.…”