Energy loss of protons in Au, Pb, and Bi using relativistic wave functions
We present a theoretical study on proton energy loss in solid targets of atomic number greater than 54. Fully relativistic wave functions and binding energies are obtained by solving numerically the Dirac equation. Ab initio calculations are developed for the first (stopping) and second (straggling)...
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todo:paper_10502947_v79_n3_p_Montanari2023-10-03T16:00:00Z Energy loss of protons in Au, Pb, and Bi using relativistic wave functions Montanari, C.C. Archubi, C.D. Mitnik, D.M. Miraglia, J.E. Ab-initio calculations Atomic numbers Cross sections Dielectric functions Dielectric response Dirac equations Energy loss Energy regions Experimental datum Inner shells Proton energy loss Solid targets Target electrons Theoretical studies Valence electrons Atoms Binding sites Carbon nanotubes Electron energy loss spectroscopy Energy dissipation Lead Lead alloys Linear equations Nuclear energy Potential energy Protons Targets Wave functions Binding energy We present a theoretical study on proton energy loss in solid targets of atomic number greater than 54. Fully relativistic wave functions and binding energies are obtained by solving numerically the Dirac equation. Ab initio calculations are developed for the first (stopping) and second (straggling) moments of the energy transferred from the ion to the target electrons. The shellwise local plasma approximation is employed for the inner shells, and the Mermin dielectric function is employed for the valence electrons. The dielectric response of each subshell is calculated separately, including in this way the screening among the electrons of the same binding energy. Results for stopping and straggling cross sections of protons in Au, Pb, and Bi are compared with the available experimental data. The theoretical stopping results are very good in the case of Au, reproducing the experimental data in an extensive energy region (10 keV-100 MeV). For Pb and Bi, the stopping results agree with the measurements for energies above 300 keV, for which the inner shells play a major role. However, we found some difficulties around the stopping maximum. For the energy-loss straggling, we obtained reasonably good agreement with the experiments for the three targets studied. © 2009 The American Physical Society. Fil:Montanari, C.C. Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales; Argentina. Fil:Archubi, C.D. 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. JOUR info:eu-repo/semantics/openAccess http://creativecommons.org/licenses/by/2.5/ar http://hdl.handle.net/20.500.12110/paper_10502947_v79_n3_p_Montanari |
| institution |
Universidad de Buenos Aires |
| institution_str |
I-28 |
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R-134 |
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Biblioteca Digital - Facultad de Ciencias Exactas y Naturales (UBA) |
| topic |
Ab-initio calculations Atomic numbers Cross sections Dielectric functions Dielectric response Dirac equations Energy loss Energy regions Experimental datum Inner shells Proton energy loss Solid targets Target electrons Theoretical studies Valence electrons Atoms Binding sites Carbon nanotubes Electron energy loss spectroscopy Energy dissipation Lead Lead alloys Linear equations Nuclear energy Potential energy Protons Targets Wave functions Binding energy |
| spellingShingle |
Ab-initio calculations Atomic numbers Cross sections Dielectric functions Dielectric response Dirac equations Energy loss Energy regions Experimental datum Inner shells Proton energy loss Solid targets Target electrons Theoretical studies Valence electrons Atoms Binding sites Carbon nanotubes Electron energy loss spectroscopy Energy dissipation Lead Lead alloys Linear equations Nuclear energy Potential energy Protons Targets Wave functions Binding energy Montanari, C.C. Archubi, C.D. Mitnik, D.M. Miraglia, J.E. Energy loss of protons in Au, Pb, and Bi using relativistic wave functions |
| topic_facet |
Ab-initio calculations Atomic numbers Cross sections Dielectric functions Dielectric response Dirac equations Energy loss Energy regions Experimental datum Inner shells Proton energy loss Solid targets Target electrons Theoretical studies Valence electrons Atoms Binding sites Carbon nanotubes Electron energy loss spectroscopy Energy dissipation Lead Lead alloys Linear equations Nuclear energy Potential energy Protons Targets Wave functions Binding energy |
| description |
We present a theoretical study on proton energy loss in solid targets of atomic number greater than 54. Fully relativistic wave functions and binding energies are obtained by solving numerically the Dirac equation. Ab initio calculations are developed for the first (stopping) and second (straggling) moments of the energy transferred from the ion to the target electrons. The shellwise local plasma approximation is employed for the inner shells, and the Mermin dielectric function is employed for the valence electrons. The dielectric response of each subshell is calculated separately, including in this way the screening among the electrons of the same binding energy. Results for stopping and straggling cross sections of protons in Au, Pb, and Bi are compared with the available experimental data. The theoretical stopping results are very good in the case of Au, reproducing the experimental data in an extensive energy region (10 keV-100 MeV). For Pb and Bi, the stopping results agree with the measurements for energies above 300 keV, for which the inner shells play a major role. However, we found some difficulties around the stopping maximum. For the energy-loss straggling, we obtained reasonably good agreement with the experiments for the three targets studied. © 2009 The American Physical Society. |
| format |
JOUR |
| author |
Montanari, C.C. Archubi, C.D. Mitnik, D.M. Miraglia, J.E. |
| author_facet |
Montanari, C.C. Archubi, C.D. Mitnik, D.M. Miraglia, J.E. |
| author_sort |
Montanari, C.C. |
| title |
Energy loss of protons in Au, Pb, and Bi using relativistic wave functions |
| title_short |
Energy loss of protons in Au, Pb, and Bi using relativistic wave functions |
| title_full |
Energy loss of protons in Au, Pb, and Bi using relativistic wave functions |
| title_fullStr |
Energy loss of protons in Au, Pb, and Bi using relativistic wave functions |
| title_full_unstemmed |
Energy loss of protons in Au, Pb, and Bi using relativistic wave functions |
| title_sort |
energy loss of protons in au, pb, and bi using relativistic wave functions |
| url |
http://hdl.handle.net/20.500.12110/paper_10502947_v79_n3_p_Montanari |
| work_keys_str_mv |
AT montanaricc energylossofprotonsinaupbandbiusingrelativisticwavefunctions AT archubicd energylossofprotonsinaupbandbiusingrelativisticwavefunctions AT mitnikdm energylossofprotonsinaupbandbiusingrelativisticwavefunctions AT miragliaje energylossofprotonsinaupbandbiusingrelativisticwavefunctions |
| _version_ |
1782024175868706816 |