ELASTIC ELECTRON–ATOM TOTAL SCATTERING CROSS SECTIONS FOR THE ALKALINE EARTH METALS

S.G. Abdu, M.S. Abubakar, T. Amir

Abstract


Total Cross-Sections (TCS) of elastic electron-atom scattering for the Alkaline Earth Metals Beryllium (Be), Magnesium (Mg), Calcium (Ca), Strontium (Sr), Barium (Ba) and Radium (Ra) are presented. The computed TCS were calculated using Born, Eikonal and the Optical Theorem approximation methods with the Lenz-Jensen potential, at electron incident energies between 1 to 1000 eV.  Results obtained are in good agreement with experimental TCS data.


Full Text:

PDF

References


Abdu, S.G. (2018a), Computation of the Total Scattering Cross Sections for the Alkali Metals, Kada Journal of Physics (KJP), Vol. 2(1), pp. 49-55.

Abdu, S.G. (2018b), Computation of the Total Scattering Cross Sections for the Halogens, Science World Journal, Vol. 13 (No. 4), 2018, pp. 35-38.

Anchaver, R.S. (2003), Introduction to Non-relativistic Quantum Mechanics, Identity Books, Kano-Nigeria.

Babaji G., Abdu S.G. and Taura L.S. (2012), The Effect Of Electron Incident Energy On Total Cross Section Calculations For The Noble Gases, Journal of the Nigerian Association of Mathematical Physics, Vol. 21 (No. 1), pp. 143-150.

Blister, M. and Hautala, M. (1978), Calculation of the Lenz-Jensen Potential Using the Third Order Approximation, Physics Letters A, 68 (1), pp. 98-100.

Cox, H.L. and Bonham, R.A. (1967), Elastic Electron Scattering Amplitudes for Neutral Atoms Calculated Using the Partial Wave Method at 10, 40, 70 and 100kV for Z=1 to Z=54, J. chem.. Phys., 47, pp. 2599.

Halka, M. and Nordstrom, B. (2010), Periodic Table of the Elements: Alkali and Alkaline Earth Metals, Facts On File, New York.

Innanen, K.A.(2010), A Scattering Diagram Derivation of the Eikonal Approximation. Available at www.crewes.org/ForOurSponsors/ConferenceAbstracts/2010/CSEG/Innanen_GC_2010.pdf Accessed on 21/06/2017.

Koonin, S.E. and Meredith, D.C. (1989), Computational Physics (FORTRAN Version), Addison-Wesley, New York.

Lokajicek, M.V. & Kundrat, V. (2009), Optical Theorem and Elastic Nucleon Scattering, arXiv: 0906.396 1v1 [hep-ph].

Merzbacher, E. (1970), Quantum Mechanic, 2nd ed., J. Wiley & Sons Inc., New York.

Newton, R.G. (1982), Scattering Theory of Waves and Particles, 2nd ed., Springer-Verlag, Berlin.

Ramazanov, T.S., Dzhumagulova, K.N., Omarbakiyeva, Y.A. and Ropke, G. (2007), Scattering of Low-Energy Electrons by Noble Gas Atoms in Partially Ionized Plasma, 34th EPS Conference on Plasma Physics, Warsaw, ECA, vol. 31F, pp. 2.093.

Ronniger, M. (2006), The Optical Theorem and Partial Wave Unitarity, Seminars on Theoretical Particle Physics, University of Bonn, held 29/06/2006 (unpublished).

Sakuri, J.J. (1985), Modern Quantum Mechanics, Addison-Wesley, New York.

Shajesh, K.V. (2010), Eikonal Approximation, Available at http://www.nhn.ou.edu/~shajesh/eikonal/sp.pdf Accessed 12/10/ 2016.

Wacker, A. (2011), Fermi’s Golden Rule. Available at www.matfys.lth.se/Andreas.Wacker/Scripts/fermiGR.pdf Accessed on 22/06/2017.

Winitzki, S. (2004), Scattering Theory Lecture Notes, Uni-Muenchen. Available at www.theorie.physik.uni-muenchen.de/~sergie/scattering.pdf Accessed on 30/06/2006.


Refbacks

  • There are currently no refbacks.




FEDERAL UNIVERSITY DUTSIN-MA, KATSINA STATE - Copyright 2020