A Theoretical Study of Scattering of <i>e</i><sup>±</sup> by Tl Atom
This article incorporates details of our calculations of the observable quantities for the scattering of electrons and positrons from a post transition metal Thallium (Tl), in the energy range of 1 eV ≤ <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="...
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MDPI AG
2023-02-01
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author | Sunzida Parvin M. Masum Billah Mahmudul H. Khandker M. Ismail Hossain M. M. Haque Mehrdad Shahmohammadi Beni Hiroshi Watabe A. K. Fazlul Haque M. Alfaz Uddin |
author_facet | Sunzida Parvin M. Masum Billah Mahmudul H. Khandker M. Ismail Hossain M. M. Haque Mehrdad Shahmohammadi Beni Hiroshi Watabe A. K. Fazlul Haque M. Alfaz Uddin |
author_sort | Sunzida Parvin |
collection | DOAJ |
description | This article incorporates details of our calculations of the observable quantities for the scattering of electrons and positrons from a post transition metal Thallium (Tl), in the energy range of 1 eV ≤ <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><msub><mi>E</mi><mi>i</mi></msub></semantics></math></inline-formula> ≤ 1 MeV, using the relativistic Dirac partial wave (phase-shift) analysis employing a complex optical-potential. Absolute differential, integrated elastic and inelastic, transport, total ionization, and total cross sections and a thorough study of the critical minima in the elastic differential cross sections along with the associated angular positions of the maximum polarization points in the Sherman function are provided to study the collision dynamics. The optical potential model incorporates the interactions of the incident electron and/or positron with both the nucleus and the bound electrons of the target atom. In-depth analyses of the spin asymmetry, which are sensitive to phases related interference effect, brought on by the various ingredients of the lepton-atom interaction, are also presented. The performance of the current approach to explain the observations, with the exception of the extremely low energy domain, is shown by a comparison of the previous experimental and theoretical results on this target atom. |
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issn | 2218-2004 |
language | English |
last_indexed | 2024-03-11T09:10:35Z |
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spelling | doaj.art-f86e216476c748c7a11253ff993a4d6e2023-11-16T19:04:55ZengMDPI AGAtoms2218-20042023-02-011123710.3390/atoms11020037A Theoretical Study of Scattering of <i>e</i><sup>±</sup> by Tl AtomSunzida Parvin0M. Masum Billah1Mahmudul H. Khandker2M. Ismail Hossain3M. M. Haque4Mehrdad Shahmohammadi Beni5Hiroshi Watabe6A. K. Fazlul Haque7M. Alfaz Uddin8Atomic and Molecular Physics Laboratory, Department of Physics, University of Rajshahi, Rajshahi 6205, BangladeshAtomic and Molecular Physics Laboratory, Department of Physics, University of Rajshahi, Rajshahi 6205, BangladeshAtomic and Molecular Physics Laboratory, Department of Physics, University of Rajshahi, Rajshahi 6205, BangladeshAtomic and Molecular Physics Laboratory, Department of Physics, University of Rajshahi, Rajshahi 6205, BangladeshAtomic and Molecular Physics Laboratory, Department of Physics, University of Rajshahi, Rajshahi 6205, BangladeshDivision of Radiation Protection and Safety Control, Cyclotron and Radioisotope Center, Tohoku University, 6-3 Aoba, Aramaki, Aoba, Sendai 980-8578, JapanDivision of Radiation Protection and Safety Control, Cyclotron and Radioisotope Center, Tohoku University, 6-3 Aoba, Aramaki, Aoba, Sendai 980-8578, JapanAtomic and Molecular Physics Laboratory, Department of Physics, University of Rajshahi, Rajshahi 6205, BangladeshAtomic and Molecular Physics Laboratory, Department of Physics, University of Rajshahi, Rajshahi 6205, BangladeshThis article incorporates details of our calculations of the observable quantities for the scattering of electrons and positrons from a post transition metal Thallium (Tl), in the energy range of 1 eV ≤ <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><msub><mi>E</mi><mi>i</mi></msub></semantics></math></inline-formula> ≤ 1 MeV, using the relativistic Dirac partial wave (phase-shift) analysis employing a complex optical-potential. Absolute differential, integrated elastic and inelastic, transport, total ionization, and total cross sections and a thorough study of the critical minima in the elastic differential cross sections along with the associated angular positions of the maximum polarization points in the Sherman function are provided to study the collision dynamics. The optical potential model incorporates the interactions of the incident electron and/or positron with both the nucleus and the bound electrons of the target atom. In-depth analyses of the spin asymmetry, which are sensitive to phases related interference effect, brought on by the various ingredients of the lepton-atom interaction, are also presented. The performance of the current approach to explain the observations, with the exception of the extremely low energy domain, is shown by a comparison of the previous experimental and theoretical results on this target atom.https://www.mdpi.com/2218-2004/11/2/37differential cross sections<i>e</i><sup>±</sup>-atom collisionsDirac equationoptical potentialcritical minimaspin polarization |
spellingShingle | Sunzida Parvin M. Masum Billah Mahmudul H. Khandker M. Ismail Hossain M. M. Haque Mehrdad Shahmohammadi Beni Hiroshi Watabe A. K. Fazlul Haque M. Alfaz Uddin A Theoretical Study of Scattering of <i>e</i><sup>±</sup> by Tl Atom Atoms differential cross sections <i>e</i><sup>±</sup>-atom collisions Dirac equation optical potential critical minima spin polarization |
title | A Theoretical Study of Scattering of <i>e</i><sup>±</sup> by Tl Atom |
title_full | A Theoretical Study of Scattering of <i>e</i><sup>±</sup> by Tl Atom |
title_fullStr | A Theoretical Study of Scattering of <i>e</i><sup>±</sup> by Tl Atom |
title_full_unstemmed | A Theoretical Study of Scattering of <i>e</i><sup>±</sup> by Tl Atom |
title_short | A Theoretical Study of Scattering of <i>e</i><sup>±</sup> by Tl Atom |
title_sort | theoretical study of scattering of i e i sup sup by tl atom |
topic | differential cross sections <i>e</i><sup>±</sup>-atom collisions Dirac equation optical potential critical minima spin polarization |
url | https://www.mdpi.com/2218-2004/11/2/37 |
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