Calculation of effective potential of Hulthen interaction for a nonideal dense plasma using dielectric response method

The interactions of hot dense plasma particles are calculated using the dielectric response method. The key element in this method is a function called the dielectric response function, which depends on the use of the proper external potential. This external potential provides the basis for deriving the dielectric function that leads to the effective potential of the plasma particles. In this paper, the well-known Hulthen potential is used to describe non-ideal plasmas. For this purpose, a comparison between Hulthen and Debye potentials is performed to find the relation between the Hulthen potential screening parameter, Dh, and the Debye shielding parameter, mu D. As a result of this comparison, parameter Dh is specified for each specific value of the Coupling, Gamma, and Density, rs, parameters. Then, to obtain the effective interaction potential, the Hulthen potential function with a specific screening parameter is used in the dielectric response function method with the help of Coulomb potential. In this work, in order to increase the effective potential flexibility, a relation is created between screening and shielding parameters. Finally, the results are compared with a number of experimental and theoretical works.