Effects of Polarization Potentials on Antiproton-Positronium Inelastic Scattering

Elkilany, S. A.; Abdel‐Raouf, M. A.

doi:10.1088/1742-6596/388/7/072030

Cited by 5 publications

(5 citation statements)

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“…According to (2), the binding energy of the valence electron of the target is determined by E Cs(6s) ϭ ͗⌽ Cs(6s) (r)|H T |⌽ Cs(6s) (r)͘ (6) The total Hamiltonian of the first channel, elastic channel, (in Rydberg units and frozen core approximation) has the following form:…”

Section: Theoretical Formalismmentioning

confidence: 99%

“…Abdel-Raouf [1] applied the coupledstatic and frozen core approximations to positron-lithium and positron-sodium scattering as a two-channel problem. Elkilany and Abdel-Raouf [2] investigated the effect of polarization potentials on antiprotons scattered by positronium using the coupled static model. Elkilany [3,4] treated in detail the effect of polarization potential on inelastic scattering of proton-lithium or muon-hydrogen, as a two-channel problem, using the improved coupled-static approximation.…”

Section: Introductionmentioning

confidence: 99%

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

Elkilany

2015

Can. J. Phys.

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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]

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Section: Theoretical Formalismmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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

Elkilany

2015

Can. J. Phys.

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“…Tiwiri [22] reported the differential and total cross sections in the hydrogen formation in the collision of proton by lithium and sodium atoms using the coulomb projected Born approximation. Elkilany and Abdel-Raouf [23] investigated the effect of polarization potentials on antiproton scattered by positronium using coupled static approximation. Elkilany [24] used the coupled static approximation and Green's function iterative method to calculate partial and total cross sections of anti-hydrogen formation in antiproton positronium collision.…”

Section: Introductionmentioning

confidence: 99%

Formation of hydrogen atom in 2s state in proton–sodium inelastic scattering

Elkilany¹

2015

Chinese Phys. B

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The inelastic collision of protons with sodium atoms are treated for the first time within the framework of the coupled-static and frozen core approximations. The method is used for calculating partial and total cross-sections with the assumption that only two channels (elastic and hydrogen formation in 2s state) are open. In each case, the calculations are carried out for seven values of the total angular momentum ℓ(0 ≤ ℓ ≤ 6). The target is described using the Clementi Roetti wave functions within the framework of the one valence electron model. We use Lipmann–Swinger equation to solve the derived equations of the problem, then apply an iterative numerical method to obtain the code of computer 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. The present results for total hydrogen (2s state) formation cross sections are in agreement with results of other available ones in wide range of incident energy.

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“…The results thus obtained are compared with the available results and found to be in reasonable agreement. Elkilany and AbdelRaouf [9] investigated the effect of switching on various polarization potentials on antiproton-positronium inelastic collisions in detail within the framework of the coupled static model and compared their results with available results. Elkilany [10] used coupled static approximation and Green's function iterative numerical technique for calculating partial and total cross-sections for antiproton-positronium inelastic scattering corresponding to seven values of the total angular momentum ℓ (0≤ ℓ ≤ 6).…”

Section: Introductionmentioning

confidence: 99%

Effect of Polarization Potential on Proton–Sodium Inelastic Scattering

Elkilany

2014

Braz J Phys

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Inelastic collisions of protons with sodium atoms are treated for the first time within the framework of the coupled static and frozen core approximations. The method is used for calculating partial and total cross-sections with the assumption that only two channels (elastic and hydrogen formation in 2s-state) are open. The calculations are carried out, in each case, for seven values of the total angular momentum ℓ (0≤ ℓ ≤6). In the second channel, the effect of "switching on" the polarization potential of hydrogen (in 2s-state) on the coupled static cross-sections is investigated. Although the resulting hydrogen (in 2s-state) formation cross-sections are smaller than the elastic ones, their large values should draw the attention of experimental and theoretical physicists to the field of proton-alkali atom collisions. Our results for the total hydrogen (2s-state) formation cross-sections and those determined by previous authors are in reasonable agreement.

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Effects of Polarization Potentials on Antiproton-Positronium Inelastic Scattering

Cited by 5 publications

References 0 publications

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

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

Formation of hydrogen atom in 2s state in proton–sodium inelastic scattering

Effect of Polarization Potential on Proton–Sodium Inelastic Scattering

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