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In this work, the spectrum of ground state and excited baryons (N, {\Delta},, , and {\Omega} particles) has been investigated by using a non-relativisticquantum mechanics under the Killingbeck plus isotonic oscillator potentials.Using the Jacobi-coordinates, anzast method and generalized G\"ursey Radicati(GR) mass formula the three body wave equation is solved to calculate thedifferent states of the considered baryons. A comparison between ourcalculations and the available experimental data shows that the position of theRoper resonances of the nucleon, the ground states and the excited multipletsup to three GeV are in general well reproduced. Also one can conclude that; theinteraction between the quark constituents of baryon resonances could bedescribed adequately by using the combination of Killingbeck and isotonicoscillator potentials form.

A New Method for Obtaining the Baryons Mass under the Killingbeck Plus Isotonic Oscillator Potentials