In this paper, the Schr\"odinger 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. Comment: arXiv admin note: text overlap with arXiv:1106.3683, arXiv:0709.2931, arXiv:math-ph/0107015 by other authors
