The Yukawa potential adds an exponential term to the long-range Coulomb potential, which greatly shortens the range

Question:

The Yukawa potential adds an exponential term to the long-range Coulomb potential, which greatly shortens the range of the Coulomb potential. It has great usefulness in atomic and nuclear calculation.

Find a particle€™s trajectory in a bound orbit of the Yukawa potential to first order in r/a.