Calculation of the effective potential of hot dense plasma particles by dielectric response function method based on Hulthen potential

Introducing the effective potential between plasma particles is one of the common methods to study the behavior of particles in plasma. In this paper, it has been tried to define the effective potential for fully ionized hot dense plasma by using the dielectric response function method. In the dielectric response function method, it is first necessary to introduce an initial potential function, and an effective potential function is obtained with the help of its effect on plasma. The initial potential function used in this paper is the Hulthen potential function, which is used for the first time in these calculations. In the following, the effective potential on the interaction of plasma particles such as electron-ion, electron-electron and ion-ion interaction are compared with other results obtained from other theoretical studies for the same conditions of plasma parameters. The results show that this effective potential includes both the effects of hot dense plasma, i.e. collective effects at long distances and quantum effects at short distances, and represents a very good description of the behavior of particles in hot dense plasma media.