Triple differential cross-section for Laser-assisted (e,2e) process on $H_2O$ molecule by Plane and Twisted electrons Impact

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Autori principali: Neha, Choubisa, Rakesh
Natura: Preprint
Pubblicazione: 2025
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author Neha
Choubisa, Rakesh
author_facet Neha
Choubisa, Rakesh
contents Twisted electron-impact single ionization ((e,2e) process) of water molecule is theoretically studied in the presence of an external laser field. Calculations have been performed in the framework of the first Born approximation in coplanar asymmetric geometry. The wave functions for the fast (incident/scattered) electron and the ejected electron are described by the Volkov and Coulomb Volkov wave functions respectively which take into account the interaction of the laser field with incident/scattered and ejected electrons respectively. We calculate the triple differential cross section (TDCS) corresponding to the laser-assisted (e,2e) process for different orientations of the linearly polarised laser field. We describe the molecular state of $H_{2}O$ by the linear combination of atomic orbitals (self-consistent field LCAO method). The angular profile of the TDCS for plane wave electrons is strongly modified by the laser field compared to that of without laser field. However, for the twisted electrons with laser field the angular distribution is slightly changed from those of without laser field. We study the angular distribution of TDCS for laser field polarization parallel to the incident momentum ($\varepsilon_0$ $\parallel$ $k_i$), parallel to momentum transfer ($\varepsilon_0$ $\parallel$ $Δ$) and perpendicular to the momentum transfer ($\varepsilon_0$ $\perp$ $Δ$) and we observe that the $\varepsilon_0$ $\parallel$ $Δ$ has the highest magnitude of TDCS. For the orientations $\varepsilon_0$ $\parallel$ $k_i$ and $\varepsilon_0$ $\perp$ $Δ$, the laser-assisted plane wave studies shows oscillatory nature of TDCS but for the orientation $\varepsilon_0$ $\parallel$ $Δ$ we observe only recoil peak for $p-like$ character orbitals and dual peak, a recoil and binary peaks for the $s-like$ character orbital.
format Preprint
id arxiv_https___arxiv_org_abs_2504_03225
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle Triple differential cross-section for Laser-assisted (e,2e) process on $H_2O$ molecule by Plane and Twisted electrons Impact
Neha
Choubisa, Rakesh
Atomic and Molecular Clusters
Twisted electron-impact single ionization ((e,2e) process) of water molecule is theoretically studied in the presence of an external laser field. Calculations have been performed in the framework of the first Born approximation in coplanar asymmetric geometry. The wave functions for the fast (incident/scattered) electron and the ejected electron are described by the Volkov and Coulomb Volkov wave functions respectively which take into account the interaction of the laser field with incident/scattered and ejected electrons respectively. We calculate the triple differential cross section (TDCS) corresponding to the laser-assisted (e,2e) process for different orientations of the linearly polarised laser field. We describe the molecular state of $H_{2}O$ by the linear combination of atomic orbitals (self-consistent field LCAO method). The angular profile of the TDCS for plane wave electrons is strongly modified by the laser field compared to that of without laser field. However, for the twisted electrons with laser field the angular distribution is slightly changed from those of without laser field. We study the angular distribution of TDCS for laser field polarization parallel to the incident momentum ($\varepsilon_0$ $\parallel$ $k_i$), parallel to momentum transfer ($\varepsilon_0$ $\parallel$ $Δ$) and perpendicular to the momentum transfer ($\varepsilon_0$ $\perp$ $Δ$) and we observe that the $\varepsilon_0$ $\parallel$ $Δ$ has the highest magnitude of TDCS. For the orientations $\varepsilon_0$ $\parallel$ $k_i$ and $\varepsilon_0$ $\perp$ $Δ$, the laser-assisted plane wave studies shows oscillatory nature of TDCS but for the orientation $\varepsilon_0$ $\parallel$ $Δ$ we observe only recoil peak for $p-like$ character orbitals and dual peak, a recoil and binary peaks for the $s-like$ character orbital.
title Triple differential cross-section for Laser-assisted (e,2e) process on $H_2O$ molecule by Plane and Twisted electrons Impact
topic Atomic and Molecular Clusters
url https://arxiv.org/abs/2504.03225