The electric microfield distributions at the location of an ion have been calculated using a coupling parameter integration technique for Li + plasma proposed by Ortner et al. [4] and Molecular Dynamics simulations. Electric microfield distributions are studied in a frame of the Hellmann-Gurskii-Krasko pseudopotential model, taking into account the quantum-mechanical effects and the ion shell structure [34]. The screened Hellmann-GurskiiKrasko pseudopotential taking into account not only the quantum-mecanical effects, the ion shell structure but screening field effects has been derived by means of Bogoljubow method [40] and [42]. The screened pseudopotential is represented by a Fourier transform. For the Hellmann-Gurskii-Krasko pseudopotential model the results obtained for the microfield in the framework of the Ortner model are found in a good agreement with the Molecular Dynamics simulations.

The e − e , e − i, i − i and charge-charge static structure factors are calculated for alkali and Be 2+ plasmas using the method described by Gregori et al. in [1]. The dynamic structure factors for alkali plasmas are calculated using the method of moments [2], [3]. In both methods the screened Hellmann-Gurskii-Krasko potential, obtained on the basis of Bogolyubov's method, has been used taking into account not only the quantum-mechanical effects but also the ion structure [4]. PACS. 52.27.Aj Alkali and alkaline earth plasmas, Static and dynamic structure factors-52.25.Kn Ther-modynamics of plasmas-52.38.Ph X-ray scattering

The electric microfield distributions have been calculated using an integral-equation method for one-component plasmas proposed by Iglesias [1] and the coupling-parameter integration technique for two-component plasmas proposed by Ortner et al. [2]. Electric microfield distributions are studied in the frame of the Kelbg pseudopotential model, taking into account quantum-mechanical effects (diffraction, quantum symmetry effects) and screening effects. The screened pseudopotential is represented in a numerically approximated form. The results are compared with simulation results obtained by other authors.

We propose a new approach to high-intensity laser-driven electron acceleration in a plasma. Here, we demonstrate that a plasma wave generated by a stimulated forward-scattering of an incident laser pulse can be in a longest acceleration phase with an incident laser wave. This is why the plasma wave has the maximum amplification coefficient which is determined by the breakdown (overturn) electric field in which the acceleration of injected relativistic beam electrons occurs. We estimate qualitatively the acceleration parameters of relativistic electrons in the field of a plasma wave generated at the stimulated forward scattering of a high-intensity laser pulse in a plasma.Keywords: High-intensity laser-driven plasma wakefield acceleration, Ultrarelativistic electron bunch, LaserPlasma interaction, Stimulated forward-scattering During the past few decades plasma accelerators have attracted increasing interest of scientists from all over the world due to its compactness, much cheaper construction costs compared to those for conventional one and various applications ranging from high energy physics to medical and industrial applications. An intense electromagnetic pulse can create a plasma oscillations through the stimulated scattering. Electrons trapped in the plasma wave can be accelerated to high energy.The idea to accelerate the charged particles in a plasma medium using collective plasma wave fields generated by the high-energy electron beams belongs to the Soviet physicists G. I. Budker, V. I. Veksler and Ia. B. Fainberg 1-3 in 1956, whereas assumptions for generation of plasma Langmuir waves by nonrelativistic electron bunches propagating through plasma were first made earlier in 1949 4,5 . High-energy bunch electrons generate a plasma wave in such a way that the energy from a bunch of electrons is transferred to the plasma wave through stimulated Cherenkov resonance radiation producing high acceleration electric fields. Later on, another acceleration scheme using a laser 6 or time-shifted sequence of bunched high-energy electrons injected into a cold plasma was proposed 7 . In recent experiments at the Stanford Linear Accelerator Center it was shown that an energy gain of more than 42 GeV was achieved in a meter long plasma wakefield accelerator, driven by a 42 GeV electron beam 8 . For a detailed review about the modern status of this research field we would like to refer a reader to 9,10 . However, the experiments of the 60s and 70s demonstrated that efficiency of acceleration using the highenergy beams is much less than the expected one and the generated field is much lower than a breakdown (overa) Electronic mail: rukh@fpl.gpi.ru b) Electronic mail: Corresponding author -s.sadykova@fz-juelich.de turn) electric field 11 :where e-electron charge, m -its mass, V p -plasma wave phase velocity, V p = ω p /k p c where k p -plasma wave vector, ω p -plasma frequency, ω p = 4πe 2 n e /m with n e being the electron density and m -its mass. The explanation for the experiments failure was given in the work 12 where ...

Abstract. The e − e , e − i, i − i and charge-charge static structure factors are calculated for alkali and Be 2+ plasmas using the method described by Gregori et al. in [1]. The dynamic structure factors for alkali plasmas are calculated using the method of moments [2], [3]. In both methods the screened Hellmann-Gurskii-Krasko potential, obtained on the basis of Bogolyubov's method, has been used taking into account not only the quantum-mechanical effects but also the ion structure [4].PACS. 52.27.Aj Alkali and alkaline earth plasmas, Static and dynamic structure factors -52.25.Kn Thermodynamics of plasmas -52.38.Ph X-ray scattering