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Nuclear Potential Energy

A potential energy function describing the interaction between nucleons, often modeled as a sum of terms representing the Coulomb force and nuclear forces.
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The statement of the theorem

Define the potential energy operator V^\hat{V} acting on the relative coordinates rij=ri−rj\mathbf{r}_{ij} = \mathbf{r}_i - \mathbf{r}_j between nucleons ii and jj. The total potential is modeled as: \nV^=∑i<jVij=∑i<j(VCoulomb(rij)+VStrong(rij))\hat{V} = \sum_{i<j} V_{ij} = \sum_{i<j} \left( V_{Coulomb}(r_{ij}) + V_{Strong}(r_{ij}) \right) \nwhere VCoulomb(rij)=e24πϵ0rijV_{Coulomb}(r_{ij}) = \frac{e^2}{4\pi\epsilon_0 r_{ij}} and VStrong(rij)V_{Strong}(r_{ij}) is the strong interaction potential, often approximated by a Yukawa form: \nVStrong(rij)=−g2rije−rij/λV_{Strong}(r_{ij}) = -\frac{g^2}{r_{ij}} e^{-r_{ij}/\lambda}
Source: Wikipedia