Ionization of Metastable 2P-State Hydrogen Atoms by Electron Impact for Coplanar Asymmetric Geometry

S. Dhar^*, N. Nahar

Department of Mathematics, Chittagong University of Engineering and Technology, Chittagong, Bangladesh.

DOI: 10.4236/ojm.2014.44007                

Abstract

The triple differential cross-sections of First Born approximation have been calculated for ionization of metastable 2P-state hydrogen atoms by electron impact in the asymmetric coplanar geometry. In this study a multiple scattering theory of ionization of hydrogen atoms is used. The latest results of the present method are compared with other calculations. It will be added for new experimental study of ionization of hydrogen atoms in their metastable states.

Keywords

Ionization, Scattering, Cross-Section, Electron

Conflicts of Interest

The authors declare no conflicts of interest.

References

[1]	Das, J.N. (1990) Momentum-Space Analysis of Scattering States with Possible Application to Atomic Ionization. Physical Review A, 42, 1376. http://dx.doi.org/10.1103/PhysRevA.42.1376
[2]	Byron, Jr., F.W. and Joachain, C.J. (1989) Theory of (e, 2e) Reactions. Physics Reports, 179, 211-272. http://dx.doi.org/10.1016/0370-1573(89)90158-0
[3]	Ehrhardt, H., Jung, K., Knoth, G. and Schlemmer, P. (1986) Differential Cross Sections of Direct Single Electron Impact Ionization. Zeitschrift für Physik D Atoms, Molecules and Clusters, 1, 3. http://dx.doi.org/10.1007/BF01384654
[4]	Hafid, H., Joulakian, B. and Dal Cppello, C. (1993) Theoretical Study of the Differential Cross Section of the Ionization of Hydrogen (2S) by Electron Impact. Journal of Physics B: Atomic, Molecular and Optical Physics, 26, 3415. http://dx.doi.org/10.1088/0953-4075/26/19/028
[5]	Kato, D. and Waanabe, S. (1995) Two-Electron Correlations in Near Threshold. Physical Review Letters, 74, 2443. http://dx.doi.org/10.1103/PhysRevLett.74.2443
[6]	Konovalov, D.A. (1994) Unified Approach to Distorted-Wave (e, 2e) Calculations. Journal of Physics B: Atomic, Molecular and Optical Physics, 27, 5551. http://dx.doi.org/10.1088/0953-4075/27/22/014
[7]	Lahmam-Bennani, A. (1991) Recent Developments and New Trends in (e, 2e) and (e, 3e) Studies. Journal of Physics B: Atomic, Molecular and Optical Physics, 24, 2401. http://dx.doi.org/10.1088/0953-4075/24/10/001
[8]	Bethe, H. (1930) Zur Theorie des Durchgangs schneller Korpuskularstrahlen durch Materie, Annalen der Physik, 397, 325-400. http://dx.doi.org/10.1002/andp.19303970303
[9]	Das, J.N. and Seal, S. (1993) Electron-Hydrogen-Atom Ionization Collisions at Intermediate (5I0-20I0) and High (≥20I0) Energies, Physical Review A, 47, 2978. http://dx.doi.org/10.1103/PhysRevA.47.2978
[10]	Das, J.N. and Seal, S. (1993) Symmetric Scattering Ine±-H Ionization Collisions. Pramana, 40, 253-258. http://dx.doi.org/10.1007/BF02900191
[11]	Das, J.N. and Dhar, S. (1998) Energy Spectrum of Scattered Electrons in K-Shell Ionization of Medium to Heavy Atoms by Relativistic Electrons. Journal of Physics B: Atomic, Molecular and Optical Physics, 31, 2355. http://dx.doi.org/10.1088/0953-4075/31/10/021
[12]	Ghosh Deb S., Roy, S. and Sinha, C. (2009) Multiphoton (e, 2e) Process of Hydrogen Atom in Strong Laser Field. The European Physical Journal D, 55, 591-600. http://dx.doi.org/10.1140/epjd/e2009-00254-x
[13]	Dhar, S. (1996) Electron Impact Ionisation of Metastable 2S-State Hydrogen Atoms. Australian Journal of Physics, 49, 937. http://dx.doi.org/10.0004-9506/96/050937
[14]	Das, J.N. and Dhar, S. (1996) Symmetric Scattering in Electron and Positron Impact Ionization of Metastable 2S-State Hydrogen Atoms. Pramana, 47, 263-269. http://dx.doi.org/10.1007/BF02848527
[15]	Das, J.N. and Dhar, S. (1998) Calculation of Triple Differential Cross-Sections of K-Shell Ionization of Medium-Heavy Atoms by Electrons for Symmetric Geometry. Pramana, 51, 751-756. http://dx.doi.org/10.1007/BF02832607
[16]	Das, J.N. and Dhar, S. (1998a) Energy Spectrum of Scattered Electrons in K-Shell Ionization of Medium to Heavy Atoms by Relativistic Electrons. Journal of Physics B: Atomic, Molecular and Optical Physics, 31, 2355. http://dx.doi.org/10.1088/0953-4075/31/10/021
[17]	Das, J.N. and Dhar, S. (1999) Energy Spectrum of Ejected Electrons in Ionization of Hydrogen Atoms by Electrons. Pramana, 53, 869-875. http://dx.doi.org/10.1007/s12043-999-0121-9
[18]	Dhar, S. and Alam, M.R. (2007) Computation of Triple Differential Cross-Sections with the Inclusion of Exchange Effects in Atomic K-Shell Ionization by Relativistic Electrons for Symmetric Geometry. Pramana, 69, 387-394. http://dx.doi.org/10.1007/s12043-007-0140-3
[19]	Dhar, S. (2008) The Energy Spectrum of Scattered Particles in the K-Shell Ionization of Medium Heavy Atoms by Relativistic Electrons and Positrons with Exchange Effects. Journal of Physics B: Atomic, Molecular and Optical Physics, 41, 15504. http://dx.doi.org/10.1088/0953-4075/41/15/155204
[20]	Vucic, S., Potvliege, R.M. and Joachain, C.J. (1987) Second Born Triple-Differential Cross Sections for the Coplanar Asymmetric Ionization of H(2S) by Fast Electrons. Physical Review A, 35, 1446. http://dx.doi.org/10.1103/PhysRevA.35.1446
[21]	Ghosh, S., Biswas, A. and Sinha, C. (2011) Multiphoton Ionization of a Metastable Hydrogen Atom by Electron and Positron Impact and Charge Asymmetry. Journal of Physics B: Atomic, Molecular and Optical Physics, 44, Article ID: 215201. http://dx.doi.org/10.1088/0953-4075/44/21/215201
[22]	Bransden, B.H. and Joachain, C.J. (1983) Physics of Atoms and Molecules. 2nd Edition, Pearson Education, New York.
[23]	Lewis, R.R. (1956) Potential Scattering of High-Energy Electrons in Second Born Approximation. Physical Review, 102, 537. http://dx.doi.org/10.1103/PhysRev.102.537