2. [Difficult] Quarks are the particles that make up the proton and neutron inside an atomic nucleus. For a particular choice of units (not SI) the attractive force between two quarks is given by the equation:
is a constant and
is the separation between the quarks. If the potential energy, U, of the quarks is zero at equilibrium what is their potential energy as a function of
? For this particular question, I indefinitely integrated to find:
This is partially correct, but for some reason I cannot solve for the constant of integration. Even when I set U=0, it doesn't make sense.
Any help is greatly appreciated.