Quantum Shielding Effects on the Eikonal Collision Cross Section in Strongly Coupled Two-temperature Plasmas

2017 ◽  
Vol 72 (5) ◽  
pp. 433-439
Author(s):  
Myoung-Jae Lee ◽  
Young-Dae Jung
Keyword(s):  
Phase Shift ◽  
Cross Section ◽  
Strongly Coupled ◽  
Scattering Phase ◽  
Impact Parameters ◽  
De Broglie Wavelength ◽  
Ion Collision ◽  
The Impact ◽  
Two Temperature ◽  
Shielding Effects

AbstractThe influence of nonisothermal and quantum shielding on the electron-ion collision process is investigated in strongly coupled two-temperature plasmas. The eikonal method is employed to obtain the eikonal scattering phase shift and eikonal cross section as functions of the impact parameter, collision energy, electron temperature, ion temperature, Debye length, and de Broglie wavelength. The results show that the quantum effect suppresses the eikonal scattering phase shift for the electron-ion collision in two-temperature dense plasmas. It is also found that the differential eikonal cross section decreases for small impact parameters. However, it increases for large impact parameters with increasing de Broglie wavelength. It is also found that the maximum position of the differential eikonal cross section is receded from the collision center with an increase in the nonisothermal character of the plasma. In addition, it is found that the total eikonal cross sections in isothermal plasmas are always greater than those in two-temperature plasmas. The variations of the eikonal cross section due to the two-temperature and quantum shielding effects are also discussed.

Influence of the ion wake-field on the eikonal cross section for the electron–dust collision in dusty plasmas

2012 ◽  
Vol 78 (5) ◽  
pp. 559-563 ◽  
Author(s):  
YOUNG-DAE JUNG ◽  
WOO-PYO HONG
Keyword(s):  
Mach Number ◽  
Phase Shift ◽  
Cross Section ◽  
Field Effect ◽  
Debye Length ◽  
Dusty Plasmas ◽  
Elastic Electron ◽  
Wake Field ◽  
Scattering Phase ◽  
The Impact

AbstractThe ion wake-field effects on the elastic electron–dust collisions are investigated in complex dusty plasmas. The eikonal method is employed to investigate the behaviors of the scattering phase shift and scattering cross section due to the variation of the strength of the wake-field. It is shown that the eikonal phase shift decreases with an increase of the Mach number and increases with an increase of the impact parameter. It is also shown that the eikonal phase shift decreases with increasing Debye length. The eikonal cross section for the elastic electron–dust collision is found to be increased due to the influence of the wake-field. In addition, it is found that the wake-field effect on the eikonal cross section is almost independent of the Debye length.

Effects of temperature and electron collision frequency on the elastic electron–ion collisions in a collisional plasma

2013 ◽  
Vol 79 (5) ◽  
pp. 553-558 ◽  
Author(s):  
YOUNG-DAE JUNG ◽  
WOO-PYO HONG
Keyword(s):  
Phase Shift ◽  
Temperature Effect ◽  
Cross Section ◽  
Collision Frequency ◽  
Electron Collision ◽  
Elastic Electron ◽  
Dynamic Temperature ◽  
Electron Collision Frequency ◽  
Dynamic Screening ◽  
Ion Collision

AbstractThe effects of dynamic temperature and electron–electron collisions on the elastic electron–ion collision are investigated in a collisional plasma. The second-order eikonal analysis and the velocity-dependent screening length are employed to derive the eikonal phase shift and eikonal cross section as functions of collision energy, electron collision frequency, Debye length, impact parameter, and thermal energy. It is interesting to find out that the electron–electron collision effect would be vanished; however, the dynamic temperature effect is included in the first-order approximation. We have found that the dynamic temperature effect strongly enhances the eikonal phase shift as well as the eikonal cross section for electron–ion collision since the dynamic screening increases the effective shielding distance. In addition, the detailed characteristic behavior of the dynamic screening function is also discussed.

Influence of Electron Exchange and Quantum Shielding on the Elastic Collisions in Quantum Plasmas

2013 ◽  
Vol 68 (10-11) ◽  
pp. 686-692
Author(s):  
Gyeong Won Lee ◽  
Young-Dae Jung
Keyword(s):  
Phase Shift ◽  
Cross Section ◽  
Fermi Energy ◽  
Collision Energy ◽  
Collision Cross Section ◽  
Electron Exchange ◽  
Plasmon Energy ◽  
Exchange Effect ◽  
Quantum Plasmas ◽  
Scattering Phase

The influence of electron exchange and quantum shielding on the elastic electron-ion collision is investigated in degenerate quantum plasmas. The second-order eikonal method and effective screened potential are employed to obtain the scattering phase shift and collision cross section as functions of the impact parameter, collision energy, electron-exchange parameter, Fermi energy, and plasmon energy. It is found that the electron-exchange effect enhances the eikonal scattering phase shift as well as the eikonal collision cross section in quantum plasmas. The maximum position of the differential eikonal collision cross section is found to be receded from the collision center with an increase of the electron-exchange effect. It is interesting to note that the influence of the electron exchange on the eikonal collision cross section decreases with increasing collision energy. It is also found that the eikonal collision cross section decreases with an increase of the plasmon energy and, however, increases with increasing Fermi energy.

Nonthermal effects on the elastic electron–atom collision in generalized Lorentzian semiclassical plasmas: Lorentzian renormalization shielding

2015 ◽  
Vol 81 (2) ◽  
Author(s):  
Woo-Pyo Hong ◽  
Young-Dae Jung
Keyword(s):  
Phase Shift ◽  
Cross Section ◽  
Collision Cross Section ◽  
Effective Interaction ◽  
Elastic Electron ◽  
Electron Atom ◽  
Energy Impact ◽  
Scattering Phase ◽  
Total Collision ◽  
Atom Collision

The Lorentzian renormalization plasma shielding effects on the elastic electron–atom collision are investigated in generalized Lorentzian semiclassical plasmas. The eikonal analysis and the effective interaction potential are employed to obtain the eikonal scattering phase shift, differential eikonal collision cross section, and total eikonal collision cross section as functions of the collision energy, impact parameter, nonthermal renormalization parameter, and spectral index of the Lorentzian plasma. It is found that the influence of Lorentzian renormalization shielding suppresses the eikonal scattering phase shift and, however, enhances the eikonal collision cross section in Lorentzian semiclassical plasmas. Additionally, the energy dependence on the total collision cross section in nonthermal plasmas is found to be more significant than that in thermal plasmas.

Eikonal-Glauber Thomas–Fermi model for atomic collisions with many-electron atoms for plasma applications

2018 ◽  
Vol 84 (3) ◽  
Author(s):  
Myoung-Jae Lee ◽  
Young-Dae Jung
Keyword(s):  
Form Factor ◽  
Phase Shift ◽  
Momentum Transfer ◽  
Cross Section ◽  
Atomic Charge ◽  
Fermi Model ◽  
Thomas Fermi ◽  
Scattering Phase ◽  
Effective Atomic Charge ◽  
Atomic Form Factor

We have derived the universal eikonal-Glauber Thomas–Fermi model for atomic collision cross-sections with many-electron atoms, such as iron and tungsten atoms, including the influence of atomic screening in fusion devices and plasma technologies. The eikonal-Glauber method is employed to obtain the analytic expressions for the effective atomic charge, the scattering phase shift and the atomic cross-section in terms of the atomic form factor and the Mott–Massey screening parameter. The result shows that the effective atomic charge would be the same as the case of the net nuclear charge for the large momentum transfer domain and becomes zero without momentum transfer due to the influence of bound atomic electrons. It is shown that the eikonal scattering phase shift and the total eikonal-Glauber scattering cross-section increase with increasing charge number$Z$of the nucleus of the target atom. It is also found that the charge dependence of the total eikonal-Glauber scattering cross-section decreases with an increase of the scaled collision energy since the atomic form factor is small for large collision energies.

Non-thermal renormalization shielding on the electron–atom collision in partially ionized generalized Lorentzian non-thermal plasmas

2013 ◽  
Vol 79 (5) ◽  
pp. 783-788 ◽  
Author(s):  
YOUNG-DAE JUNG ◽  
WOO-PYO HONG
Keyword(s):  
Phase Shift ◽  
Cross Section ◽  
Impact Parameter ◽  
Collision Cross Section ◽  
Thermal Plasmas ◽  
Shielding Effect ◽  
Electron Atom ◽  
Scattering Phase ◽  
Partially Ionized ◽  
Atom Collision

AbstractThe non-thermal renormalization shielding effects on the elastic electron–atom collision process are investigated in partially ionized generalized Lorentzian non-thermal plasmas. The eikonal analysis for the Hamilton–Jacobi solution and impact parameter method are employed to obtain the eikonal scattering phase shift and eikonal cross section as functions of the collision energy, Debye length, impact parameter, and spectral index of the Lorentzian plasma. It is found that the non-thermal renormalization shielding effect enhances the eikonal scattering phase shift as well as the eikonal collision cross section, especially for small impact parameter domains. It is also found that the non-thermal renormalization shielding effect on the eikonal scattering phase shift decreases with an increase of the impact parameter. In addition, it is found that the maximum position of the eikonal collision cross section has receded from the collision center with an increase of the non-thermal character of the plasma.

Oscillatory Screening Effects on Elastic Collisions in Dense Electron-Ion Quantum Plasmas

2009 ◽  
Vol 64 (3-4) ◽  
pp. 237-241 ◽  
Author(s):  
Yo-Han Koo ◽  
Young-Dae Jung
Keyword(s):  
Phase Shift ◽  
Total Cross Section ◽  
Cross Section ◽  
Scattering Amplitude ◽  
Wave Number ◽  
Optical Theorem ◽  
Screening Effect ◽  
Quantum Plasmas ◽  
Quantum Wave ◽  
Scattering Phase

Abstract The oscillatory screening effects on elastic electron-ion collisions are investigated in dense quantum plasmas. The eikonal method with the modified Debye-Hückel potential is employed to obtain the scattering phase shift and scattering amplitude. In addition, the total elastic collision cross section is obtained by the optical theorem with the forward scattering amplitude in quantum plasmas. It is shown that the modified Debye-Hückel screening in quantum plasmas produces the oscillatory behaviour of the scattering phase shift. In addition, the minimum position of the phase shift is receded from the target ion with decreasing the quantum wave number. It is also found that the oscillatory screening effect suppresses the differential cross section. The total cross section is also found to be decreased due to the oscillatory screening effect. In addition, it is shown that the total cross section decreases with an increase of the quantum wave number

Nonthermal and Plasmon Effects on Elastic Electron-Ion Collisions in Hot Quantum Lorentzian Plasmas

2009 ◽  
Vol 64 (1-2) ◽  
pp. 44-48
Author(s):  
Hwa-Min Kima ◽  
Young-Dae Jung
Keyword(s):  
Cross Section ◽  
Collision Energy ◽  
Collision Cross Section ◽  
Plasma Temperature ◽  
Interaction Model ◽  
Elastic Electron ◽  
Plasma Parameters ◽  
Ion Collisions ◽  
Ion Collision ◽  
The Impact

The nonthermal and plasmon effects on elastic electron-ion collisions are investigated in hot quantum Lorentzian plasmas. The modified interaction model taking into account the nonthermal screening and plasmon effects is employed to represent the electron-ion interaction potential in hot quantum Lorentzian plasmas. The eikonal phase and differential collision cross-section are obtained as functions of the impact parameter, collision energy, spectral index, and plasma parameters by using the second-order eikonal analysis. It is shown that the plasmon effect suppresses the eikonal phase and collision cross-section for 0 < β (ћω0/kBT < 0.6) and, however, enhances it for 0.6 < β < 1, where ω0 is the plasma frequency and T is the plasma temperature. It is also shown that the nonthermal character of the quantum Lorentzian plasma suppresses the elastic electron-ion collision cross-section.

Impact Parameter Representation of the Scattering Amplitude

1971 ◽  
Vol 49 (14) ◽  
pp. 1885-1898 ◽  
Author(s):  
M. Razavy
Keyword(s):  
Elastic Scattering ◽  
Phase Shift ◽  
Differential Cross Section ◽  
Cross Section ◽  
Impact Parameter ◽  
Differential Cross ◽  
Scattering Amplitude ◽  
Potential Methods ◽  
Energy Dependent ◽  
The Impact

From the Lippmann–Schwinger equation, the exact and different approximate relations for the impact parameter form of the total scattering amplitude on- and off-the-energy shell are derived. The relation between the impact parameter phase shift and the range of potential is studied, and several methods of determining the potential from the impact parameter phase shift for local, nonlocal, and energy dependent interactions are obtained in Blankenbecler and Goldberger's approximation. By considering solvable examples it is shown that the Glauber's approximation, in certain cases, may be valid for all scattering angles. Finally for completely elastic scattering or for a purely absorptive potential, methods of finding the impact parameter phase shift from the differential cross section for scattering are given.

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