S-model calculations for high-energy-electron-impact double ionization of helium
In this paper the double ionization of helium by high-energy electron impact is studied. The corresponding four-body Schrödinger equation is transformed into a set of driven equations containing successive orders in the projectile-target interaction. The transition amplitude obtained from the asympt...
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2013
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| Acceso en línea: | https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_10502947_v87_n4_p_Gasaneo http://hdl.handle.net/20.500.12110/paper_10502947_v87_n4_p_Gasaneo |
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paper:paper_10502947_v87_n4_p_Gasaneo2023-06-08T16:02:45Z S-model calculations for high-energy-electron-impact double ionization of helium Gasaneo, Gustavo Mitnik, Dario Marcelo Colavecchia, Flavio D. Double ionization First Born approximation High-energy electron Hyperspherical coordinates Numerical implementation Projectile target interaction Single-differential cross sections Transition amplitudes Calculations Helium Impact ionization In this paper the double ionization of helium by high-energy electron impact is studied. The corresponding four-body Schrödinger equation is transformed into a set of driven equations containing successive orders in the projectile-target interaction. The transition amplitude obtained from the asymptotic limit of the first-order solution is shown to be equivalent to the familiar first Born approximation. The first-order driven equation is solved within a generalized Sturmian approach for an S-wave (e,3e) model process with high incident energy and small momentum transfer corresponding to published measurements. Two independent numerical implementations, one using spherical and the other hyperspherical coordinates, yield mutual agreement. From our ab initio solution, the transition amplitude is extracted, and single differential cross sections are calculated and could be taken as benchmark values to test other numerical methods in a previously unexplored energy domain. © 2013 American Physical Society. Fil:Gasaneo, G. Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales; Argentina. Fil:Mitnik, D.M. Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales; Argentina. Fil:Colavecchia, F.D. Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales; Argentina. 2013 https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_10502947_v87_n4_p_Gasaneo http://hdl.handle.net/20.500.12110/paper_10502947_v87_n4_p_Gasaneo |
| institution |
Universidad de Buenos Aires |
| institution_str |
I-28 |
| repository_str |
R-134 |
| collection |
Biblioteca Digital - Facultad de Ciencias Exactas y Naturales (UBA) |
| topic |
Double ionization First Born approximation High-energy electron Hyperspherical coordinates Numerical implementation Projectile target interaction Single-differential cross sections Transition amplitudes Calculations Helium Impact ionization |
| spellingShingle |
Double ionization First Born approximation High-energy electron Hyperspherical coordinates Numerical implementation Projectile target interaction Single-differential cross sections Transition amplitudes Calculations Helium Impact ionization Gasaneo, Gustavo Mitnik, Dario Marcelo Colavecchia, Flavio D. S-model calculations for high-energy-electron-impact double ionization of helium |
| topic_facet |
Double ionization First Born approximation High-energy electron Hyperspherical coordinates Numerical implementation Projectile target interaction Single-differential cross sections Transition amplitudes Calculations Helium Impact ionization |
| description |
In this paper the double ionization of helium by high-energy electron impact is studied. The corresponding four-body Schrödinger equation is transformed into a set of driven equations containing successive orders in the projectile-target interaction. The transition amplitude obtained from the asymptotic limit of the first-order solution is shown to be equivalent to the familiar first Born approximation. The first-order driven equation is solved within a generalized Sturmian approach for an S-wave (e,3e) model process with high incident energy and small momentum transfer corresponding to published measurements. Two independent numerical implementations, one using spherical and the other hyperspherical coordinates, yield mutual agreement. From our ab initio solution, the transition amplitude is extracted, and single differential cross sections are calculated and could be taken as benchmark values to test other numerical methods in a previously unexplored energy domain. © 2013 American Physical Society. |
| author |
Gasaneo, Gustavo Mitnik, Dario Marcelo Colavecchia, Flavio D. |
| author_facet |
Gasaneo, Gustavo Mitnik, Dario Marcelo Colavecchia, Flavio D. |
| author_sort |
Gasaneo, Gustavo |
| title |
S-model calculations for high-energy-electron-impact double ionization of helium |
| title_short |
S-model calculations for high-energy-electron-impact double ionization of helium |
| title_full |
S-model calculations for high-energy-electron-impact double ionization of helium |
| title_fullStr |
S-model calculations for high-energy-electron-impact double ionization of helium |
| title_full_unstemmed |
S-model calculations for high-energy-electron-impact double ionization of helium |
| title_sort |
s-model calculations for high-energy-electron-impact double ionization of helium |
| publishDate |
2013 |
| url |
https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_10502947_v87_n4_p_Gasaneo http://hdl.handle.net/20.500.12110/paper_10502947_v87_n4_p_Gasaneo |
| work_keys_str_mv |
AT gasaneogustavo smodelcalculationsforhighenergyelectronimpactdoubleionizationofhelium AT mitnikdariomarcelo smodelcalculationsforhighenergyelectronimpactdoubleionizationofhelium AT colavecchiaflaviod smodelcalculationsforhighenergyelectronimpactdoubleionizationofhelium |
| _version_ |
1768545938892128256 |