Double ionization of helium by fast electrons with the Generalized Sturmian Functions method

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 first order driven equation is solved with a generalized St...

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Autores principales: Ambrosio, M.J., Colavecchia, F.D., Gasaneo, G., Mitnik, D.M., Ancarani, L.U.
Formato: JOUR
Materias:
double ionization
first born
fully differential cross section
helium
Helium
Impact ionization
Projectiles
Convergent close coupling methods
Differential cross section
Double ionization
First Born approximation
Fully differential cross sections
Projectile target interaction
Transition amplitudes
Numerical methods
Acceso en línea:http://hdl.handle.net/20.500.12110/paper_09534075_v48_n5_p_Ambrosio
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Biblioteca Digital - Facultad de Ciencias Exactas y Naturales (UBA) de Universidad de Buenos Aires
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spelling todo:paper_09534075_v48_n5_p_Ambrosio2023-10-03T15:51:07Z Double ionization of helium by fast electrons with the Generalized Sturmian Functions method Ambrosio, M.J. Colavecchia, F.D. Gasaneo, G. Mitnik, D.M. Ancarani, L.U. double ionization first born fully differential cross section helium Helium Impact ionization Projectiles Convergent close coupling methods Differential cross section Double ionization first born First Born approximation Fully differential cross sections Projectile target interaction Transition amplitudes Numerical methods 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 first order driven equation is solved with a generalized Sturmian functions approach. The transition amplitude, extracted from the asymptotic limit of the first order solution, is equivalent to the familiar first Born approximation. Fivefold differential cross sections are calculated for (e, 3e) processes within the high incident energy and small momentum transfer regimes. The results are compared with other numerical methods, and with the only absolute experimental data available. Our cross sections agree in shape and magnitude with those of the convergent close coupling method for the (10+10) eV and (4+4) eV emission energies. To date this had not been achieved by any two different numerical schemes when solving the three-body continuum problem for the fast projectile (e, 3e) process. Though agreement with the experimental data, in particular with respect to the magnitude, is not achieved, our findings partly clarify a long standing puzzle. © 2015 IOP Publishing Ltd. Fil:Colavecchia, F.D. Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales; Argentina. 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. JOUR info:eu-repo/semantics/openAccess http://creativecommons.org/licenses/by/2.5/ar http://hdl.handle.net/20.500.12110/paper_09534075_v48_n5_p_Ambrosio
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
fully differential cross section
helium
Helium
Impact ionization
Projectiles
Convergent close coupling methods
Differential cross section
Double ionization
first born
First Born approximation
Fully differential cross sections
Projectile target interaction
Transition amplitudes
Numerical methods
spellingShingle double ionization
first born
fully differential cross section
helium
Helium
Impact ionization
Projectiles
Convergent close coupling methods
Differential cross section
Double ionization
first born
First Born approximation
Fully differential cross sections
Projectile target interaction
Transition amplitudes
Numerical methods
Ambrosio, M.J.
Colavecchia, F.D.
Gasaneo, G.
Mitnik, D.M.
Ancarani, L.U.
Double ionization of helium by fast electrons with the Generalized Sturmian Functions method
topic_facet double ionization
first born
fully differential cross section
helium
Helium
Impact ionization
Projectiles
Convergent close coupling methods
Differential cross section
Double ionization
first born
First Born approximation
Fully differential cross sections
Projectile target interaction
Transition amplitudes
Numerical methods
description 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 first order driven equation is solved with a generalized Sturmian functions approach. The transition amplitude, extracted from the asymptotic limit of the first order solution, is equivalent to the familiar first Born approximation. Fivefold differential cross sections are calculated for (e, 3e) processes within the high incident energy and small momentum transfer regimes. The results are compared with other numerical methods, and with the only absolute experimental data available. Our cross sections agree in shape and magnitude with those of the convergent close coupling method for the (10+10) eV and (4+4) eV emission energies. To date this had not been achieved by any two different numerical schemes when solving the three-body continuum problem for the fast projectile (e, 3e) process. Though agreement with the experimental data, in particular with respect to the magnitude, is not achieved, our findings partly clarify a long standing puzzle. © 2015 IOP Publishing Ltd.
format JOUR
author Ambrosio, M.J.
Colavecchia, F.D.
Gasaneo, G.
Mitnik, D.M.
Ancarani, L.U.
author_facet Ambrosio, M.J.
Colavecchia, F.D.
Gasaneo, G.
Mitnik, D.M.
Ancarani, L.U.
author_sort Ambrosio, M.J.
title Double ionization of helium by fast electrons with the Generalized Sturmian Functions method
title_short Double ionization of helium by fast electrons with the Generalized Sturmian Functions method
title_full Double ionization of helium by fast electrons with the Generalized Sturmian Functions method
title_fullStr Double ionization of helium by fast electrons with the Generalized Sturmian Functions method
title_full_unstemmed Double ionization of helium by fast electrons with the Generalized Sturmian Functions method
title_sort double ionization of helium by fast electrons with the generalized sturmian functions method
url http://hdl.handle.net/20.500.12110/paper_09534075_v48_n5_p_Ambrosio
work_keys_str_mv AT ambrosiomj doubleionizationofheliumbyfastelectronswiththegeneralizedsturmianfunctionsmethod
AT colavecchiafd doubleionizationofheliumbyfastelectronswiththegeneralizedsturmianfunctionsmethod
AT gasaneog doubleionizationofheliumbyfastelectronswiththegeneralizedsturmianfunctionsmethod
AT mitnikdm doubleionizationofheliumbyfastelectronswiththegeneralizedsturmianfunctionsmethod
AT ancaranilu doubleionizationofheliumbyfastelectronswiththegeneralizedsturmianfunctionsmethod
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