Complete analytical solution to the quantum Yukawa potential

M. Napsuciale, S. Rodríguez
2021 Physics Letters B  
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
more » ... yields a correction of π 4 /216 to results based on variational techniques.
doi:10.1016/j.physletb.2021.136218 fatcat:dp3amk2lf5fk5fliwtond5oqcm