Yukawa Potential - Relation To Coulomb Potential

Relation To Coulomb Potential

If the mass is zero (i.e., m=0), then the Yukawa potential equals a Coulomb potential, and the range is said to be infinite. In fact, we have:

Consequently, the equation

simplifies to the form of the Coulomb potential

A comparison of the long range potential strength for Yukawa and Coulomb is shown in Figure 2. It can be seen that the Coulomb potential has effect over a greater distance whereas the Yukawa potential approaches zero rather quickly. Note however, that any Yukawa potential or Coulomb potential are non-zero for any large r.

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