exact solution of schrödinger equation for pentaquark systems

‎in this paper‎, ‎we present an exact analytical solution for five interacting quarks‎. ‎we solve the schr&{o}dinger equation for pentaquarks in the framework of five-body and two-body problems‎. ‎for this purpose‎, ‎we utilize yukawa potential in jacobi coordinates‎. ‎also finding the relation between the reduced masses and coupling constants of pentaquarks‎, ‎we obtain the coupling constant of yukawa potential for pentaquark systems‎. ‎we calculate the energy of these systems in their ground state‎. ‎the results are well consistent with the theoretical results‎. ‎our procedure to obtain these results is appropriate for other potentials and $n$-body systems‎.