What is the mass of an exchange particle that could hold the moon together?

[Peoriakid123]

Homework Statement

If an exchange particle held the moon together, what would the mass of the exchange particle be?
Moon radius = 1737 km

Homework Equations

Well, I know that the range of an exchange particle is as follows: R=\frac{\hbar}{2mc} where m is the mass of the exchange particle and c is speed of light, hbar is 1.054e-34.

The Attempt at a Solution

I do not fully understand what a range is...how can I apply a range to this problem? If I could figure that out, i think I would be able to figure the problem out

 

[ShayanJ]

The usual example is the Yukawa potential.