2008
DOI: 10.1088/0953-4075/41/17/175203
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e++ H(ns) → Ps(n′s) + p for arbitrarynandn

Abstract: Positronium (Ps) formation in an arbitrary s-state from an arbitrary s-state of the hydrogen atom by positron impact has been studied within the framework of distorted-wave theory (DWT) which has recently been derived by the authors. A general formula for obtaining partial-wave distorted-wave amplitudes of positronium formation for all such reactions has been derived in closed analytic forms. This general formalism has then been used to obtain the results for differential and total cross sections in the energ… Show more

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Cited by 11 publications
(14 citation statements)
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“…Only to calculate the partial-wave amplitudes T l B ð31Þ; T l B ð33Þ use has been made of Lewis integral. 21,81 We use the expression for scattering amplitude Y ba to compute the differential cross section as a function of scattering angle and energy. We have approximated the higher partial wave contributions to the present amplitudes by the TABLE III.…”
Section: Theorymentioning
confidence: 99%
“…Only to calculate the partial-wave amplitudes T l B ð31Þ; T l B ð33Þ use has been made of Lewis integral. 21,81 We use the expression for scattering amplitude Y ba to compute the differential cross section as a function of scattering angle and energy. We have approximated the higher partial wave contributions to the present amplitudes by the TABLE III.…”
Section: Theorymentioning
confidence: 99%
“…θ is the angle between axes Z and Z . In the be readily calculated by employing the bound-free transition form factors of Belkic [36]: (25) where the factor A (v f ) αβ is given by Eq. (21) in Ref.…”
Section: B Ps Formation Into Arbitrary Statesmentioning
confidence: 99%
“…Moreover, few calculations have been performed for higher excited-state Ps formations. Recently, Ghoshal et al [25] have successfully applied the DWA method to study the transition of arbitrary hydrogen s state to arbitrary Ps s state. A general formalism to obtain Ps formation cross sections for all reactions has been derived in the intermediate and high energy range.…”
Section: Introductionmentioning
confidence: 99%
“…Only the calculations of the partial-wave amplitudes T l B ð31Þ; T l B ð33Þ require to invoke the Lewis integral. 34 Using the expression for scattering amplitude Y ba, we calculate the differential cross section as a function of scattering angle and energy for positron-hydrogen collisions as…”
Section: Theorymentioning
confidence: 99%