In the present work, the interacting potential form between quarks inside a baryon is taken to be proportional to the digamma-function. Using the Jacobi-coordinates the three body wave equation is solved to calculate the different states of the considered baryons. The present model contains only two adjustable parameters in addition to the quark masses. Our theoretical calculations are compared to the available experimental data and Cornelll potential calculations. The present potential model calculations show a satisfied agreement in case of investigated the resonance masses of the considered baryons. One can conclude that; the interaction between the quark constituents of baryon systems could be described adequately by using the considered simple potential form.

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