Formation of antihydrogen in antiproton positronium inelastic scattering

Elkilany, S. A.

doi:10.1007/s12648-013-0384-3

Cited by 8 publications

(7 citation statements)

References 17 publications

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“…Refs. [20,21] explore the inelastic low-energy reaction of p + Ps → H + e − , where the Ps is in its ground state. A recent paper [22] (also mentioned in the popular science press [23]) found that if the target Ps is in an excited state (1 < n ≤ 3), the H production rate is improved by several orders of magnitude.…”

Section: Motivationmentioning

confidence: 99%

Variational Calculations of Positronium Scattering with Hydrogen

Woods

2015

Preprint

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Positronium-hydrogen (Ps-H) scattering is of interest, as it is a fundamental four-body Coulomb problem. We have investigated low-energy Ps-H scattering below the Ps(n=2) excitation threshold using the Kohn variational method and variants of the method with a trial wavefunction that includes highly correlated Hylleraas-type short-range terms. We give an elegant formalism that combines all Kohn-type variational methods into a single form. Along with this, we have also developed a general formalism for Kohn-type matrix elements that allows us to evaluate arbitrary partial waves with a single codebase. Computational strategies we have developed and use in this work are also discussed.With these methods, we have computed phase shifts for the first six partial waves for both the singlet and triplet states. The 1,3 S and 1,3 P phase shifts are highly accurate results and could potentially be viewed as benchmark results. Resonance positions and widths for the 1 S-, 1 P-, 1 D-, and 1 F-waves have been calculated.We present elastic integrated, elastic differential, and momentum transfer cross sections using all six partial waves and note interesting features of each. We use multiple effective range theories, including several that explicitly take into account the long-range van der Waals interaction, to investigate scattering lengths and effective ranges.iii Many people helped me through this project. Special thanks goes to Ryan Bosca, who helped me at times and let me bounce ideas off of him. Keri Ward, Cassie Whitmire, Robert Whitmire, and Lauren Murphy have been part of a great support network that helped me survive this process, along with all of my friends in the physics department.Great thanks goes to my advisor, Dr. S. J. Ward and to our collaborator, Dr. Peter Van Reeth, who helped immensely with this project through discussions, plenty of notes, and codes. I also appreciate discussions with Drs.

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Section: Motivationmentioning

confidence: 99%

Variational Calculations of Positronium Scattering with Hydrogen

Woods

2015

Preprint

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“…The coupled static approximation states that the solution of the two-channel scattering problem under consideration is subjected to the following conditions [11]:…”

Section: Theoretical Formalismmentioning

confidence: 99%

“…In this work, an elaborate coupled static formalism is employed [11] for the treatment of proton-lithium collisions at wide range of incident energies from 10 to 1000 Kev. The proposed iterative approach allows for reliable representation of the core potentials using elaborate variational calculation of the target orbitals.…”

Section: Introductionmentioning

confidence: 99%

Formation of 2s-State Hydrogen Atom in Proton-Lithium Inelastic Scattering

Elkilany

2014

Journal of Theoretical Chemistry

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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.

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“…Tiwari [8] reported the differential and total cross sections in hydrogen formation in the collision of proton by lithium and sodium atoms using the Coulombprojected Born approximation. Elkilany [9] investigated the effect of polarization potentials on antiproton scattered by positronium using a coupled static model. Elkilany [10,11] treated in detail the effect of polarization potentials on proton-lithium and muonhydrogen inelastic scattering as a two-channel problem using the improved coupled-static approximation.…”

Section: Introductionmentioning

confidence: 99%

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

Elkilany

2016

Can. J. Phys.

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Inelastic collisions of protons with rubidium atoms are treated for the first time within the framework of the three channel coupled static, and frozen core approximations. The method is used for calculating partial and total cross sections with the assumption that only three channels (elastic; non-excited hydrogen, 1s-state; and excited hydrogen, 2s-state) are open. We have used the Lipmann-Schwinger equation and the Green's functions iterative numerical method technique to solve the derived coupled integro-differential equations to obtain the computer code. The present results for total hydrogen formation cross sections are in agreement with results of other available ones in a wide range of incident energy. Résumé: Une étude des collisions inélastiques de protons sur des atomes de rubidium est présentée pour la première fois dans le cadre des approximations des trois canaux couplés-statiques et du coeur figé. La méthode est utilisée pour calculer les sections efficaces partielles et totale en supposant que seuls trois canaux sont ouverts : élastique, hydrogène dans le fondamental 1s et excité 2s. Nous utilisons l'équation de Lipmann-Schwinger et la technique numérique itérative des fonctions de Green pour solutionner les équations couplées intégro-différentielles dérivées afin d'obtenir le code d'ordinateur. Nos résultats pour les sections efficaces totales de formation d'hydrogène sont en accord avec d'autres résultats disponibles sur une large bande de l'énergie incidente. [Traduit par la Rédaction]Mots-clés : collision inélastique, proton-rubidium, formation d'hydrogène, formation d'hydrogène excité.

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Formation of antihydrogen in antiproton positronium inelastic scattering

Cited by 8 publications

References 17 publications

Variational Calculations of Positronium Scattering with Hydrogen

Variational Calculations of Positronium Scattering with Hydrogen

Formation of 2s-State Hydrogen Atom in Proton-Lithium Inelastic Scattering

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

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