2000 character limit reached
Complete analytical solution to the quantum Yukawa potential (2012.12969v2)
Published 23 Dec 2020 in hep-ph
Abstract: We present a complete analytical solution to the quantum problem of a particle in the Yukawa potential, using supersymmetry and a systematic expansion of the corresponding super-potentials. Results for the critical screening of the ground state improve in several figures existing results based on both numerical solutions and approximation methods. Our calculation to order $(a_{0}/D){2}$ for the squared ground state wavefunction at the origin, which enter in darkonium transitions, yields a correction of $\pi{4}/216$ to results based on variational techniques.