Complete analytical solution to the quantum Yukawa potential

We present a complete analytical solution to the quantum problem of particle in Yukawa potential, using supersymmetry and systematic expansion corresponding super-potentials. Results for critical screening ground state improve several figures existing results based on both numerical solutions approximation methods. Our calculation order (a0/D)2 squared wavefunction at origin, which enter darkonium transitions, yields correction ?4/216 variational techniques.