dorsal/arxiv
View SchemaMott scattering in strong laser field revisited
| Authors | B. Manaut, Y. Attaourti, S. Taj, S. Elhandi |
|---|---|
| Categories | |
| ArXiv ID | physics/0402129 |
| URL | https://arxiv.org/abs/physics/0402129 |
| Journal | Can. J. Phys. 87(4): 299 310 (2009) |
| License | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ |
Abstract
In this work, we review and correct the first Born differential cross section for the process of Mott scattering of a Dirac-Volkov electron, namely, the expression (26) derived by Szymanowski et al [Physical Review A {\bf 56}, 3846 (1997)]. In particular, we disagree with the expression of $(\frac{d\sigma}{d\Omega})$ they obtained and we give the exact coefficients multiplying the various Bessel functions appearing in the scattering differential cross section. Comparison of our numerical calculations with those of Szymanowski et al. shows qualitative and quantitative differences when the incoming total electron energy and the electric field strength are increased particularly in the direction of the laser propagation. Such corrections are very important since the relativistic electronic dressing of any Dirac-Volkov charged particle gives rise to these coefficients that multiply the various Bessel functions and the relativistic study of other processes (such as excitation, ionisation, etc....) depends strongly of the correctness and reliability of the calculations for this process of Mott Scattering in presence of a laser field. Our work has been accepted [Y. Attaourti, B. Manaut, Physical Review A {\bf 68}, 067401 (2003)] but only as a comment. In this paper, we give the full details of the calculations as well as the clear explanation of the large discrepancies that their results could cause when working in the ultra relativistic regime and using a very strong laser field corresponding to an electric field $\varepsilon=5.89$ in atomic units.
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"abstract": "In this work, we review and correct the first Born differential cross section\nfor the process of Mott scattering of a Dirac-Volkov electron, namely, the\nexpression (26) derived by Szymanowski et al [Physical Review A {\\bf 56}, 3846\n(1997)]. In particular, we disagree with the expression of\n$(\\frac{d\\sigma}{d\\Omega})$ they obtained and we give the exact coefficients\nmultiplying the various Bessel functions appearing in the scattering\ndifferential cross section. Comparison of our numerical calculations with those\nof Szymanowski et al. shows qualitative and quantitative differences when the\nincoming total electron energy and the electric field strength are increased\nparticularly in the direction of the laser propagation. Such corrections are\nvery important since the relativistic electronic dressing of any Dirac-Volkov\ncharged particle gives rise to these coefficients that multiply the various\nBessel functions and the relativistic study of other processes (such as\nexcitation, ionisation, etc....) depends strongly of the correctness and\nreliability of the calculations for this process of Mott Scattering in presence\nof a laser field. Our work has been accepted [Y. Attaourti, B. Manaut, Physical\nReview A {\\bf 68}, 067401 (2003)] but only as a comment. In this paper, we give\nthe full details of the calculations as well as the clear explanation of the\nlarge discrepancies that their results could cause when working in the ultra\nrelativistic regime and using a very strong laser field corresponding to an\nelectric field $\\varepsilon=5.89$ in atomic units.",
"arxiv_id": "physics/0402129",
"authors": [
"B. Manaut",
"Y. Attaourti",
"S. Taj",
"S. Elhandi"
],
"categories": [
"physics.atom-ph"
],
"journal_ref": "Can. J. Phys. 87(4): 299 310 (2009)",
"license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
"title": "Mott scattering in strong laser field revisited",
"url": "https://arxiv.org/abs/physics/0402129"
},
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