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Analytical solutions for a double ring-shaped noncentral potential in D-dimensions

In the present study, a generalized double ring-shaped Coulomb noncentral potential is proposed, and the D-dimensional Schrödinger equation with this potential is examined in hyperspherical coordinates. The Nikiforov-Uvarov (N-U) method is applied to obtain the D-dimensional energy eigenvalues and the corresponding eigenfunctions. The angular/radial wavefunction is written in terms of Jacobi/Laguerre polynomials.