A collective model for inner shell ionization of very heavy targets
We present a theoretical study of the ionization of inner shells, such as L and M shells of Au, Pb and Bi or K-shell of Sb. The ionization is described using a collective response model, the shellwise local plasma approximation (SLPA). This model deals with each sub-shell of target electrons as an i...
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2011
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paper:paper_10420150_v166_n5_p338_Montanari2023-06-08T16:00:57Z A collective model for inner shell ionization of very heavy targets Montanari, Claudia Carmen Mitnik, Dario Marcelo Miraglia, Jorge Esteban electrons inner-shells ionization ions Dirac equations Experimental data Hartree-Fock wave function High energy Inner shell Inner-shell ionization inner-shells Ionization thresholds K-shell ionization K-shells L-shell ionization Response model Target electrons Theoretical study Binding energy Electron gas Ions Lead Linear equations Radiation effects Shells (structures) Wave functions Ionization of gases We present a theoretical study of the ionization of inner shells, such as L and M shells of Au, Pb and Bi or K-shell of Sb. The ionization is described using a collective response model, the shellwise local plasma approximation (SLPA). This model deals with each sub-shell of target electrons as an inhomogeneous electron gas with an ionization threshold. No parameters are included, just the theoretical wave functions of the ground state and the binding energies. The validity range is that of the perturbative approximation, high energies and asymmetric projectile target relation. In the case of Sb, known Hartree-Fock wave functions and energies are used. Instead, for Au, Pb and Bi, they were obtained in fully relativistic way by solving numerically the Dirac equation. The SLPA describes well the experimental data for K-shell ionization of Sb by O and F positive ions. However, it underestimates the data for C or lighter ions. Good results are obtained for M-shell ionization of Au and Bi above 2MeV/amu, and for L-shell ionization of Au and Pb above 10MeV/amu. For L- and M-shells, the SLPA tends to underestimate the data for energies below the range of validity of the model but approaches the experimental data for higher energies. © 2011 Taylor & Francis. Fil:Montanari, C.C. 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:Miraglia, J.E. Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales; Argentina. 2011 https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_10420150_v166_n5_p338_Montanari http://hdl.handle.net/20.500.12110/paper_10420150_v166_n5_p338_Montanari |
institution |
Universidad de Buenos Aires |
institution_str |
I-28 |
repository_str |
R-134 |
collection |
Biblioteca Digital - Facultad de Ciencias Exactas y Naturales (UBA) |
topic |
electrons inner-shells ionization ions Dirac equations Experimental data Hartree-Fock wave function High energy Inner shell Inner-shell ionization inner-shells Ionization thresholds K-shell ionization K-shells L-shell ionization Response model Target electrons Theoretical study Binding energy Electron gas Ions Lead Linear equations Radiation effects Shells (structures) Wave functions Ionization of gases |
spellingShingle |
electrons inner-shells ionization ions Dirac equations Experimental data Hartree-Fock wave function High energy Inner shell Inner-shell ionization inner-shells Ionization thresholds K-shell ionization K-shells L-shell ionization Response model Target electrons Theoretical study Binding energy Electron gas Ions Lead Linear equations Radiation effects Shells (structures) Wave functions Ionization of gases Montanari, Claudia Carmen Mitnik, Dario Marcelo Miraglia, Jorge Esteban A collective model for inner shell ionization of very heavy targets |
topic_facet |
electrons inner-shells ionization ions Dirac equations Experimental data Hartree-Fock wave function High energy Inner shell Inner-shell ionization inner-shells Ionization thresholds K-shell ionization K-shells L-shell ionization Response model Target electrons Theoretical study Binding energy Electron gas Ions Lead Linear equations Radiation effects Shells (structures) Wave functions Ionization of gases |
description |
We present a theoretical study of the ionization of inner shells, such as L and M shells of Au, Pb and Bi or K-shell of Sb. The ionization is described using a collective response model, the shellwise local plasma approximation (SLPA). This model deals with each sub-shell of target electrons as an inhomogeneous electron gas with an ionization threshold. No parameters are included, just the theoretical wave functions of the ground state and the binding energies. The validity range is that of the perturbative approximation, high energies and asymmetric projectile target relation. In the case of Sb, known Hartree-Fock wave functions and energies are used. Instead, for Au, Pb and Bi, they were obtained in fully relativistic way by solving numerically the Dirac equation. The SLPA describes well the experimental data for K-shell ionization of Sb by O and F positive ions. However, it underestimates the data for C or lighter ions. Good results are obtained for M-shell ionization of Au and Bi above 2MeV/amu, and for L-shell ionization of Au and Pb above 10MeV/amu. For L- and M-shells, the SLPA tends to underestimate the data for energies below the range of validity of the model but approaches the experimental data for higher energies. © 2011 Taylor & Francis. |
author |
Montanari, Claudia Carmen Mitnik, Dario Marcelo Miraglia, Jorge Esteban |
author_facet |
Montanari, Claudia Carmen Mitnik, Dario Marcelo Miraglia, Jorge Esteban |
author_sort |
Montanari, Claudia Carmen |
title |
A collective model for inner shell ionization of very heavy targets |
title_short |
A collective model for inner shell ionization of very heavy targets |
title_full |
A collective model for inner shell ionization of very heavy targets |
title_fullStr |
A collective model for inner shell ionization of very heavy targets |
title_full_unstemmed |
A collective model for inner shell ionization of very heavy targets |
title_sort |
collective model for inner shell ionization of very heavy targets |
publishDate |
2011 |
url |
https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_10420150_v166_n5_p338_Montanari http://hdl.handle.net/20.500.12110/paper_10420150_v166_n5_p338_Montanari |
work_keys_str_mv |
AT montanariclaudiacarmen acollectivemodelforinnershellionizationofveryheavytargets AT mitnikdariomarcelo acollectivemodelforinnershellionizationofveryheavytargets AT miragliajorgeesteban acollectivemodelforinnershellionizationofveryheavytargets AT montanariclaudiacarmen collectivemodelforinnershellionizationofveryheavytargets AT mitnikdariomarcelo collectivemodelforinnershellionizationofveryheavytargets AT miragliajorgeesteban collectivemodelforinnershellionizationofveryheavytargets |
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