Calculations of Triple Differential Cross-Sections for the Ionization of H (3S) by Electron Impact
American Journal of Modern Physics
Volume 5, Issue 6, November 2016, Pages: 162-171
Received: Sep. 16, 2016; Accepted: Sep. 26, 2016; Published: Oct. 15, 2016
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Authors
Tania Noor, Department of Mathematics, Premier University, Chittagong, Bangladesh
Farhana Shirin Chowdhury, Department of Computer Science and Engineering, Premier University, Chittagong, Bangladesh
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Abstract
In the present study we have calculated the Triple Differential Cross-Sections (TDCS) for the ionization of metastable 3S-state hydrogen atoms at 250 eV incidence electron energy for various kinematic conditions in the asymmetric coplanar geometry. A final state wave function of multiple scattering theory [11] has been used in the present study. The present results show a good qualitative agreement with the existing hydrogenic ground state experimental data and various related theoretical results. Some results of hydrogenic metastable states are also presented here for comparisons. However there is no existing theoretical and experimental works on hydrogenic metastable 3S-state except an existing theoretical first born result of Vuci et al. [19].
Keywords
Electron, Cross-Section, Ionization, Scattering
To cite this article
Tania Noor, Farhana Shirin Chowdhury, Calculations of Triple Differential Cross-Sections for the Ionization of H (3S) by Electron Impact, American Journal of Modern Physics. Vol. 5, No. 6, 2016, pp. 162-171. doi: 10.11648/j.ajmp.20160506.11
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Copyright © 2016 Authors retain the copyright of this article.
This article is an open access article distributed under the Creative Commons Attribution License (http://creativecommons.org/licenses/by/4.0/) which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
References
[1]
Bethe H. A Zur Theorie des Durchgangs schneller Korpuskularstrahlen durch Materie. Asymmetric Ann Phys 1930; 5:325. Handbuch der Physik Ed. A Smekal Aufbau Der Zusammenhangenden Materie. 1933: 24:273
[2]
Weigold E, Noble CJ, Hood ST, Fuss I, Electron impact ionization of atomic hydrogen: experimental and theoretical (e, 2e) differential cross section. J Phys B At Mol Opt Phys 1979: 12:291
[3]
Lahmann B McCarthy IE, Stelbovics AT, Weigold E, Electron-impact ionization of atomic hydrogen: comparison of asymmetric (e, 2e) measurements with theories. Phys Rev A 1984: 30: 758
[4]
Ehrhardt H, Knoth G, Schlemmer P, Jung K, Absolute H (e, 2e)p cross section measurements: comparison with first and second order theory. Phys Lett A 1985: 110: 92
[5]
Ehrhardt H, Knoth G, Schlemmer P, Jung K.Differential cross sections of direct single electron impact ionization. Z Phys D 1986: 1: 3
[6]
Ehrhardt H. Jung, K. Knoth, G. Schlemmer P. Differential cross sections of direct single electron impact ionization. New York:Plenum: 1997.p.1-10
[7]
Byron WF. Joachain JC. Piraux B. Triple differential cross sections for the ionization of atomic hydrogen by fast electrons: a second born treatment. J phys B At Mol Opt Phys 1980: 13
[8]
Byron Jr JW. Joachain CJ. Piraux B. Theory of coplanar asymmetric (e, 2e) reactions in helium. J Phys B At Mol Opt Phys 1886; 19:1201
[9]
Byron FW, Joachain CJ, Piraux B. Triple differential cross sections for the ionization of atomic hydrogen by fast electrons: a second born treatment. J Phys B At Mol Opt Phys 1985; 18: 3203
[10]
Das JN. Momentum-space analysis of scattering states with possible application to atomic ionization. Phys Rev A 1990; 42: 1376
[11]
Das JN. Seal S. Electron-hydrogen-atom ionization collision at intermediate (2l_0-20l_0) and high (≥20l_0) energies. Phys Rev A 1993; 47: 2978
[12]
Das JN. Seal S. Symmetric scattering in e^H-H ionization collisions. Pramana J Phys 1993; 40: 253
[13]
Das JN. Dhar S. Energy spectrum of ejected electrons in ionization of hydrogen atoms by electrons. Pramana J Phys 1999; 53: 869
[14]
Jones S. Madison DH. Ionization of hydrogen atoms by fast electrons. Phys Rev A 2000; 62: 042701
[15]
Jones S. Madison DH. Scaling behavior of the fully differential cross section for ionization of hydrogen atoms by the impact of fast elementary charged particles. Phys Rev A 2002; 65: 052727
[16]
Li Sm. Berakdar J. Zhang ST. Chen J. Laser assisted (e, 2e) reaction in one electron atoms and ions. J Phys B At Mol Opt Phys 2005; 38: 1291
[17]
Das JN. Dhar S. Energy spectrum of scattered electrons in K-shell ionization of medium to heavy atoms by relativistic electrons. J Phys B At Mol Opt Phys 1998; 31: 2355
[18]
Bransden BH.Joachain CJ.Physics of atoms and molecules. 2nd Ed. New York: Pearson Education; 1983
[19]
Vuc ̌ic ̌ S, Potvliege RM, Joachain CJ. Second born triple-differential cross sections for the coplanar asymmetric ionization of H (2S) by fast electrons. Phys Rev A 1987;35:1446
[20]
Ray H, Roy AC. Triply differential cross sections for the coplanar asymmetric ionization of H (2S) by fast electrons. J Phys B At Mol Opt Phys 1988; 21:3243
[21]
Hafid H. Joulakian B. Dal Cappelo C. Theoretical Study of the differential cross section of the ionization of hydrogen (2S) by electron impact. J Phys B At Mol Opt Phys 1993; 26: 3415
[22]
Das JN. Dhar S. Symmetric scattering in electron and positron impact ionization of metastable 2S-state hydrogen atoms. Pramana J Phys 1996; 47:263
[23]
Dhar S. Electron impact ionization of metastable 2S-state Hydrogen atoms Aust J Phys 1996; 49: 937
[24]
Das JN. Dhar S. Calculation of triple differential cross-sections of K-shell ionization of medium-heavy atoms by electrons for symmetric geometry. Pramana J Phys 1998; 51: 751
[25]
Dal Cappelo C. Haddadou A. Menas F. Roy AC. The second born approximation fr the single and double ionization of atoms by electrons and positrons. J Phys B At Mol Opt Phys 2011; 44: 015204
[26]
Berakdar J. Engelns A. Klar H. Oriented and Aligned two-electron continue. J Phys B At Mol Opt Phys 1996; 29: 1109
[27]
Karnali MZM, Ratnavelu K, Zhou Y. Electron impact excitation of 2P and 3P states of hydrogen at intermediate energies. Eur Phys J D 2008; 46: 267-79
[28]
Qi YY. Ning LN. Wang JG, Qu YZ. Plasma effect on fast-electron-impact-ionization from 2P state of hydrogen-like ions. Phys Plasmas 2013; 20: 123301
[29]
Brauner M. Briggs J S and Klar H 1986 J. Phys. B: At. Phys. 19 L 325
[30]
Brauner M. and Briggs J S 1991 J.Phys. B: At.Mol.Opt. Phys. 24 2227
[31]
Brauner M. Briggs J S and Klar H. Triply-Differential cross sections for ionization of hydrogen atoms by electrons and positrons. J. Phys. B: At. Mol. Opt. Phys.1989; 22: 2265
[32]
Ren X. Dorn A and Ullrich J 2008 Phys, Rev. Lett. 101
[33]
Defrance P. Clays W. Cornet A. Poulaert G. J Phys B At. Mol Phys 1981: 14: 11
[34]
Dixon Aj. Harrison MFA, Smith ACH. J Phys B At. Mol Phys 1976: 9: 2617
[35]
Dhar S. Alam MR.Computation of triple differential cross-sections with the inclusion of exchange effects in atomic K-shell ionization by relativistic electrons for symmetric geometry. Pramana J Phys 2007; 69: 384
[36]
Dhar S. The energy spectrum of scattered particles in the K-shell ionization of medium heavy atoms by relativistic electrons and positrons with exchange effects. J Phys B At Mol Phys 2008; 41: 155204
[37]
Amaldi Jr U, Egidi A, Marconero R, Pizzella G. Rev. Sci. Instr. 1969; 40: 1001
[38]
Lewis RR. Potential scattering of high-energy electrons in second born approximation. Phys Rev 1956; 102: 537
[39]
Dhar S., Nahar N. Electron impact ionization of metastable 2P-state hydrogen atoms in the coplanar geometry. Results in Phys.2015; 5: 3-8
[40]
Dhar S., Nahar N. Energy spectrum of ejected electrons of H (2P) ionization by electrons in coplanar asymmetric geometry. J. Ajmp. 2015; 4 (3): 132
[41]
Dhar S., Nahar N. Theoretical analysis of non-relativistic first order born approximation for ionization of H (2P) by electron impact
[42]
Dhar S., Noor T. Chowdhury FS. Electron impact ionization of metastable 3S-state hydrogen atoms by electrons in coplanar geometry. J. Ajmp. 2015; 4 (6): 361-366
[43]
Dhar S. Akter S. Nahar N.The first born triple differential cross sections for ionization of H (3P) by electron impact in the asymmetric coplanar geometry. J Ojmp. 2016; 6: 15-23
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