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## Homework Statement

Consider a system of two neutrons interacting only through gravitational attractive forces. Find the binding energy of this "quantum atom" (in eV) and the characteristic size of the ground state configuration. Is there any chance to find such a system in reality?

## Homework Equations

[tex] F = \frac{G m_1 m_2}{r^2} [/tex]

## The Attempt at a Solution

Okay so, I am not really sure where to start here. Obviously the force is as written above. My first though was to use [tex]U_G = -\frac{G m_1 m_2}{r}[/tex], but I am not really sure if this is on the right track, or, if so, where to go from there.