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

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Abstract 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 Schrodinger and relativistic Klein–Gordon equations under spin… Click to show full abstract

Abstract 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 Schrodinger 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.

Keywords: investigation identical; identical body; body bound; bound systems; non relativistic

Journal Title: Chinese Journal of Physics
Year Published: 2017

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