Single Ionization of He by Energetic Protons in a Parabolic Quasi-Sturmians Approach
A fully differential cross section for single ionization of helium induced by 1 MeV proton impact is calculated using the parabolic convoluted quasi-Sturmian (CQS) method. In the framework of this approach the transition amplitude is extracted directly from the asymptotic behavior of the solution of...
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2022-01-01
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| author | Sergey A. Zaytsev Alexander S. Zaytsev Vyacheslav V. Nasyrov Darya S. Zaytseva Lorenzo U. Ancarani Konstantin A. Kouzakov |
| author_facet | Sergey A. Zaytsev Alexander S. Zaytsev Vyacheslav V. Nasyrov Darya S. Zaytseva Lorenzo U. Ancarani Konstantin A. Kouzakov |
| author_sort | Sergey A. Zaytsev |
| collection | DOAJ |
| description | A fully differential cross section for single ionization of helium induced by 1 MeV proton impact is calculated using the parabolic convoluted quasi-Sturmian (CQS) method. In the framework of this approach the transition amplitude is extracted directly from the asymptotic behavior of the solution of an inhomogeneous Schrödinger equation for the Coulomb three-body system <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mrow><mo>(</mo><msup><mi>e</mi><mo>−</mo></msup><mo>,</mo><msup><mrow><mi mathvariant="normal">H</mi><mi mathvariant="normal">e</mi></mrow><mo>+</mo></msup><mo>,</mo><msup><mi>p</mi><mo>+</mo></msup><mo>)</mo></mrow></semantics></math></inline-formula>. The driven equation is solved numerically by expanding in convolutions of quasi-Sturmians for the two-body proton-He<sup>+</sup> and electron-He<sup>+</sup> systems. It is found, at least in the high energy limit, that the calculated cross sections within the proposed CQS method converge quickly as the number of terms in the expansions is increased, and are in reasonable agreement with experimental data and other theoretical results. |
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| last_indexed | 2024-03-09T20:06:59Z |
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| spelling | doaj.art-a99c33b3fcf142fe89c28513e583f8742023-11-24T00:28:07ZengMDPI AGAtoms2218-20042022-01-011011310.3390/atoms10010013Single Ionization of He by Energetic Protons in a Parabolic Quasi-Sturmians ApproachSergey A. Zaytsev0Alexander S. Zaytsev1Vyacheslav V. Nasyrov2Darya S. Zaytseva3Lorenzo U. Ancarani4Konstantin A. Kouzakov5School of Fundamental and Computer Sciences, Pacific National University, 680035 Khabarovsk, RussiaSchool of Fundamental and Computer Sciences, Pacific National University, 680035 Khabarovsk, RussiaSchool of Fundamental and Computer Sciences, Pacific National University, 680035 Khabarovsk, RussiaSchool of Fundamental and Computer Sciences, Pacific National University, 680035 Khabarovsk, RussiaLaboratory of Physics and Theoretic Chemistry, National Center for Scientific Research, Lorraine University, 57000 Metz, FranceDepartment of Nuclear Physics and Quantum Theory of Collisions, Faculty of Physics, Lomonosov Moscow State University, 119991 Moscow, RussiaA fully differential cross section for single ionization of helium induced by 1 MeV proton impact is calculated using the parabolic convoluted quasi-Sturmian (CQS) method. In the framework of this approach the transition amplitude is extracted directly from the asymptotic behavior of the solution of an inhomogeneous Schrödinger equation for the Coulomb three-body system <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mrow><mo>(</mo><msup><mi>e</mi><mo>−</mo></msup><mo>,</mo><msup><mrow><mi mathvariant="normal">H</mi><mi mathvariant="normal">e</mi></mrow><mo>+</mo></msup><mo>,</mo><msup><mi>p</mi><mo>+</mo></msup><mo>)</mo></mrow></semantics></math></inline-formula>. The driven equation is solved numerically by expanding in convolutions of quasi-Sturmians for the two-body proton-He<sup>+</sup> and electron-He<sup>+</sup> systems. It is found, at least in the high energy limit, that the calculated cross sections within the proposed CQS method converge quickly as the number of terms in the expansions is increased, and are in reasonable agreement with experimental data and other theoretical results.https://www.mdpi.com/2218-2004/10/1/13ionization by proton impactparabolic coordinatesGreen’s functionquasi-Sturmianasymptotic behavior |
| spellingShingle | Sergey A. Zaytsev Alexander S. Zaytsev Vyacheslav V. Nasyrov Darya S. Zaytseva Lorenzo U. Ancarani Konstantin A. Kouzakov Single Ionization of He by Energetic Protons in a Parabolic Quasi-Sturmians Approach Atoms ionization by proton impact parabolic coordinates Green’s function quasi-Sturmian asymptotic behavior |
| title | Single Ionization of He by Energetic Protons in a Parabolic Quasi-Sturmians Approach |
| title_full | Single Ionization of He by Energetic Protons in a Parabolic Quasi-Sturmians Approach |
| title_fullStr | Single Ionization of He by Energetic Protons in a Parabolic Quasi-Sturmians Approach |
| title_full_unstemmed | Single Ionization of He by Energetic Protons in a Parabolic Quasi-Sturmians Approach |
| title_short | Single Ionization of He by Energetic Protons in a Parabolic Quasi-Sturmians Approach |
| title_sort | single ionization of he by energetic protons in a parabolic quasi sturmians approach |
| topic | ionization by proton impact parabolic coordinates Green’s function quasi-Sturmian asymptotic behavior |
| url | https://www.mdpi.com/2218-2004/10/1/13 |
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