Investigation of N-identical few-body bound systems in the relativistic and non-relativistic description

For the N-identical interacting particles that construct a bound system, by using the Jacobi coordinate transformation in the hyper-spherical approach, the non-relativistic Schrödinger and relativistic Klein-Gordon equations under spin symmetry in D-dimensions are investigated for the modified Hulthen plus quadratic Yukawa potentials. The parametric Nikiforov-Uvarov and super-symmetric quantum mechanics (SUSYQM) methods are used to obtain the energy eigen-values and wave functions for a few-body bound system. To show the accuracy of the present model, the dependence of the few-body binding energies on the potential parameters has been investigated.