A new model for calculating the binding energy of the lithium nucleus under the generalized Yukawa potential and Hellmann potential

Abstract

In this paper, the Schrödinger equation for 6-body system is studied. We solved this equation for lithium nucleus by using supersymmetry method with the specific potentials. These potentials are Yukawa potential, the generalized Yukawa potential and Hellmann potential. The results of our model for all calculations show that the ground state binding energy of Lithium nucleus with these potentials are very close to the ones obtained in experiments.

Exact Solutions for Time-Dependent Schrödinger Equation in Presence of the Pöschl-Teller Double-Ring Shaped Harmonic Potential

“…In these papers, radial interactions have been studied in various conditions. It is fruitful to indicate that among those problems are: investigation of spin-less Salpeter equation with generalized Hulthen potential [1], the relativistic scattering states of the Hellmann potential [2], the Dirac equation under scalar and vector generalized isotonic oscillators and the Cornell tensor interaction [3], a new model for calculating the binding energy of the lithium nucleus under the generalized Yukawa and Hellmann potential [4], the Dirac oscillator problem in the presence of the Aharonov-Bohm effect with the harmonic potential in commutative and non-commutative * corresponding author; e-mail: hadisobhani8637@gmail.com spaces [5], and relativistic symmetries of a multiparameter exponential-type potential within Coulomb-like and Yukawa-like tensor interactions [6]. For polar and azimuthal interactions also there have been a lot of efforts.…”