The Elastic Scattering of an Electron from the Target BY Absorbing a Photon via Free- Free Scattering Theory
International Journal of Mechanical Engineering and Applications
Volume 2, Issue 6, December 2014, Pages: 87-97
Received: Nov. 7, 2014; Accepted: Nov. 18, 2014; Published: Nov. 28, 2014
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Authors
Kishori Yadav, Central Department of Physics, T. U., Kirtipur, Nepal
Jeevan Jyoti Nakarmi, Central Department of Physics, T. U., Kirtipur, Nepal
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Abstract
This paper intended to the elastic scattering of an electron from the target by absorbing a photon from the laser field has been studied for the polarized potential. Since the solution of the Schro ̈dinger equation of whole three-body system has not been found, we consider such intensities of electromagnetic field (Laser field) that the electron field coupling is the dominant process and the target is transparent to the field such that photon- target coupling can be ignored. Therefore the internal structure of target can be ignored and represented just as a scattering potential. For number of photon, l=-1 i.e, absorption of a photon (inverse Bremsstrahlung), we have concluded that the differential scattering cross section of an electron depends upon the fourth power of the wavelength (λ^4) and the intensity of the Laser field. From this work we see that at certain values of laser parameters the differential scattering cross section of scattered electron decreases with increase in scattering angle and attains a minimum value of 0.1 barn and further increase in scattering angle also increases in differential scattering cross section and attains a maximum value of 0.3 barn.
Keywords
Scattering, Bremsstrahlung, Volkov Wave Function, Polarized Potential
To cite this article
Kishori Yadav, Jeevan Jyoti Nakarmi, The Elastic Scattering of an Electron from the Target BY Absorbing a Photon via Free- Free Scattering Theory, International Journal of Mechanical Engineering and Applications. Vol. 2, No. 6, 2014, pp. 87-97. doi: 10.11648/j.ijmea.20140206.12
References
[1]
J. Mathews and R.L. Walker, Mathematical Methods of Physics, Second Edition, California Institute of Technology, copyright © 1970 by Pearson Education (2005).
[2]
C. Harper, Introduction to Mathematical physics, Department of Physics California State University, Hayward, Prentice Hall of India Pvt. Ltd, New Delhi-110 001 (2006)
[3]
J. D. Jackson, Classical Electrodynamics, Third Edition, John Wiley and Sons, 709 (1971) .
[4]
A.A Balakin and G.M.Frainman, Bremsstrahlung in a strong Laser field JEPT, 93, 695, (2001).
[5]
G.M Frainman, V.A.Mironov and A.A Balakin , Representative Electrons and Energy Exchange in Strong Laser field, Phys.Rev.Lett, 82, 319 (1999).
[6]
F.W. Byron, P.Francken and C.J. Joachain, Laser assisted elastic electron atom collision, J. Phys: B: At. Mol. Phys. 20 5487-5503 (1987).
[7]
N.M Kroll and KM Waston, Phys. Rev. A 8, 804(1973).
[8]
J.R. Reitz, F.J. Milford, R. W. Christy, Foundation of electromagnetic theory, Third Edition, Narosa Publishing House, New Delhi (1998).
[9]
H. Goldstein, C. Poole, J. Safko, Classical Mechanics, third edition, Pearson Education, India (2007).
[10]
F. Ehlotzky – Fundamentals of Laser Interaction –Springer (1985).
[11]
Marvin H. Mittleman, Introduction to the Theory of Laser –Atom Interaction, second edition, Printed in the United State of America (1993).
[12]
A.G.Sitenko and P.J. Shepherd, Lectures in Scattering Theory.
[13]
J.J. Sakurai- Modern Quantum Mechanics Revised Edition, Addition-Wesley Publishing Company (1994).
[14]
B.H Bransden, W.A. Benjamin, New York - Atomic Collision Theory, standard book number 8053-1180-7 (C) (1970).
[15]
G.N. Watson- Theory Of Bessel Function, Cambridge at the University Press 1922.
[16]
M. Hannachi, Z. Rouabah, C. Champion, N. Bouarissam Journal of Electron Spectroscopy and Related Phenomena, Volume 195, August 2014, Pages 155-159
[17]
A. Bekzhanov, S. Bondarenko, V.urovNuclear Physics B - Proceedings Supplements, Volume 245, December 2013, Pages 65-68
[18]
H. Aouchiche, F. Medegga, C. Champion • Nuclear Instruments and Methods in Physics Research Section B: Beam Interactions with Materials and Atoms, Volume 333, 15 August 2014, Pages 113-119
[19]
E. Merzbacher-Quantum Mechanics, Third edition, John Wiley and Sons, Inc (1998).
[20]
N. Zettili - Quantum Mechanics Concepts and Application, second edition, John Wiley and Sons, Ltd (2009).
[21]
M. L. Goldberger- Collision Theory, John Wiley and Sons, Inc, Third Printing (1967).
[22]
Laser-Assisted Elastic Electron scattering From Argon, Theor. Phys.(Beijing, China) 51 (2009) pp (131-134).
[23]
S. Balasubramian, Oxford and IBH Publishing Co. New Delhi, Bombay, Calcutta, 1985.
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