Exactly solvable potentials for some triatomic molecular systems

We present a factorization method of the Hamiltonian operator of a triatomic molecular system constrained rigidly and obtain two new classes of exactly solvable potentials. Using some well-known shape invariance potentials, we obtain the spectrum of the non-constrained triatomic molecules for 12 classes of noncentral and separable potentials depending on five or six parameters.