Influence of dynamic screening on the scattering cross sections of the particles in the dense nonideal plasmas of noble gases
56 69
Keywords:
scattering cross section, dynamic interaction potential, dense nonideal plasma, phase shift, noble gasesAbstract
Within the dynamic screening potential model, elastic scattering processes between electrons and atoms in partially ionized plasmas were investigated using the method of phase functions. The phase shifts were calculated by solving the Calogero equation. Differential and total cross sections for the scattering of electrons on noble gas atoms were calculated and compared with experimental and other theoretical data. It was shown that the polarization potential is adequate for description the interaction between charged and neutral particles in partially ionized plasma. Analysis of the results showed that the phase shifts of electron atom scattering obtained with taking into account the dynamic screening are larger than the data obtained with consideration of static screening. The results can be used to calculate the various transport coefficients of the semiclassical dense plasma.References
1. Ramazanov T.S., Dzhumagulova K.N. and Omarbakiyeva Y.A.. Effective polarization interaction potential chargeatom for partially ionized dense plasma // Phys. Plasmas. – 2005. – Vol. 12. – P. 092702.
2. Ramazanov T.S., Dzhumagulova K.N., Omarbakiyeva Yu.A., Ropke G. Effective polarization potential and scattering processes in a partially ionized plasma // Contrib. Plasma Phys. – 2007. – Vol. 47. – P. 267.
3. Dzhumagulova K.N., Shalenov E.O. and Ramazanov T.S. Elastic scattering of low energy electrons in partially ionized dense semiclassical plasma // Phys. Plasmas. – 2015. – Vol. 22. – P.
082120.
4. Kim C.-G.and Jung Y.-D. Quantum dynamic screening effects on the elastic collisions in strongly coupled semiclassical plasmas // Phys. Plasmas. – 2012. – Vol. 19. – P. 014502.
5. Dzhumagulova K.N., Gabdullina G.L. and Shalenov E.O. Dynamic interaction potential and the scattering cross sections of the semiclassical Influence of dynamic screening on the scattering cross sections of the particles in the dense nonideal plasma particles // Physics of Plasmas – 2013. – Vol. 20. – 042702.
6. Dzhumagulova K.N., Shalenov E.O., Ramazanov T.S. and Gabdullina G.L. Phase shifts and scattering cross sections of the particles of nonideal semiclassical plasmas based on the dynamic interaction potential // Contrib. Plasma Phys. –2015. – Vol. 55. – P. 230.
7. Kremp D., Schlanges M. and Kraeft W.-D. Quantum Statistics of Nonideal Plasmas. – Berlin: Springer, 2005. – P. 497.
8. Landau L.D. and Lipschitz E.M. Quantum mechanics (nonrelativistic theory). – Moscow: Nauka, 1989. – P. 768.
9. Drukarev G.F. The Theory of Electron-Atom Collisions, Translated from the Russian edition (1962) by S. Chomet, Hasted J.B., Translation Ed. Academic Press, New York, (1965) 10. Babikov V.V.. The Method of Phase Functions in Quantum Mechanics. – Moscow: Nauka, 1988. – P. 224. (in Russian)
11. Ramazanov T.S., Dzhumagulova K.N. and Akbarov A.Zh. Cross sections and transport coefficients of dense partially ionized semiclassical plasma // J. Phys. A: Math. Gen. – 2006. – Vol. 39. – P. 4335–4340.
12. Ramazanov T.S., Dzhumagulova K.N., Gabdullin M.T. and Akbarov A.Zh. A scattering cross-section and ionization equilibrium of a dense etal plasma // J. Phys. A: Math. Theor. – 2009. – Vol. 42. – P. 214049.
13. Golden D.E., Bandel H.W. Absolute total electron-helium-atom scattering cross sections for low electron energies // Phys. Rev. – 1965. – Vol. 138. – P. 14.
14. Cromton R.W., Elford M.T., Jory R.L. The Momentum Transfer Cross Section for Electrons in Helium // Australian J.Phys. – 1967. – Vol. 20. – P. 369.
15. Ramsauer C. Der Zeemaneffekt im Palladiumspektrum // Ann.Physik – 1921. – Vol. 66. – P. 546.
16. Salop A., Nakano H.H. Total Electron Scattering Cross Sections in O2 and Ne // Phys. Rev. A – 1970. – Vol. 2. – P. 127.
2. Ramazanov T.S., Dzhumagulova K.N., Omarbakiyeva Yu.A., Ropke G. Effective polarization potential and scattering processes in a partially ionized plasma // Contrib. Plasma Phys. – 2007. – Vol. 47. – P. 267.
3. Dzhumagulova K.N., Shalenov E.O. and Ramazanov T.S. Elastic scattering of low energy electrons in partially ionized dense semiclassical plasma // Phys. Plasmas. – 2015. – Vol. 22. – P.
082120.
4. Kim C.-G.and Jung Y.-D. Quantum dynamic screening effects on the elastic collisions in strongly coupled semiclassical plasmas // Phys. Plasmas. – 2012. – Vol. 19. – P. 014502.
5. Dzhumagulova K.N., Gabdullina G.L. and Shalenov E.O. Dynamic interaction potential and the scattering cross sections of the semiclassical Influence of dynamic screening on the scattering cross sections of the particles in the dense nonideal plasma particles // Physics of Plasmas – 2013. – Vol. 20. – 042702.
6. Dzhumagulova K.N., Shalenov E.O., Ramazanov T.S. and Gabdullina G.L. Phase shifts and scattering cross sections of the particles of nonideal semiclassical plasmas based on the dynamic interaction potential // Contrib. Plasma Phys. –2015. – Vol. 55. – P. 230.
7. Kremp D., Schlanges M. and Kraeft W.-D. Quantum Statistics of Nonideal Plasmas. – Berlin: Springer, 2005. – P. 497.
8. Landau L.D. and Lipschitz E.M. Quantum mechanics (nonrelativistic theory). – Moscow: Nauka, 1989. – P. 768.
9. Drukarev G.F. The Theory of Electron-Atom Collisions, Translated from the Russian edition (1962) by S. Chomet, Hasted J.B., Translation Ed. Academic Press, New York, (1965) 10. Babikov V.V.. The Method of Phase Functions in Quantum Mechanics. – Moscow: Nauka, 1988. – P. 224. (in Russian)
11. Ramazanov T.S., Dzhumagulova K.N. and Akbarov A.Zh. Cross sections and transport coefficients of dense partially ionized semiclassical plasma // J. Phys. A: Math. Gen. – 2006. – Vol. 39. – P. 4335–4340.
12. Ramazanov T.S., Dzhumagulova K.N., Gabdullin M.T. and Akbarov A.Zh. A scattering cross-section and ionization equilibrium of a dense etal plasma // J. Phys. A: Math. Theor. – 2009. – Vol. 42. – P. 214049.
13. Golden D.E., Bandel H.W. Absolute total electron-helium-atom scattering cross sections for low electron energies // Phys. Rev. – 1965. – Vol. 138. – P. 14.
14. Cromton R.W., Elford M.T., Jory R.L. The Momentum Transfer Cross Section for Electrons in Helium // Australian J.Phys. – 1967. – Vol. 20. – P. 369.
15. Ramsauer C. Der Zeemaneffekt im Palladiumspektrum // Ann.Physik – 1921. – Vol. 66. – P. 546.
16. Salop A., Nakano H.H. Total Electron Scattering Cross Sections in O2 and Ne // Phys. Rev. A – 1970. – Vol. 2. – P. 127.
Downloads
How to Cite
Shalenov, E., Dzhumagulova, K., Ramazanov, T., & Gabdullina, G. (2016). Influence of dynamic screening on the scattering cross sections of the particles in the dense nonideal plasmas of noble gases. International Journal of Mathematics and Physics, 7(1). Retrieved from https://ijmph.kaznu.kz/index.php/kaznu/article/view/172
Issue
Section
Theoretical Physics and Plasma Physics
