Core potential

Core potential

As nuclear potential is potential or the potential energy of nuclear power referred. It is used in nuclear physics to describe the interaction of nucleons with the nucleus . The distance dependence of this interaction is described by different functions depending on the underlying model. The verification takes place in the experiment by the scattering of nucleons on nuclei. ${\displaystyle V}$ ${\displaystyle V({\vec {r}})}$

rough description: ${\displaystyle V({\vec {r}})=V(r)=-C\cdot {\frac {{e}^{-\mu |{\vec {r}}|}}{|{\vec {r}}|}}}$

The associated force results from the gradient :

${\displaystyle {\vec {F}}({\vec {r}})=-C\cdot {\frac {{e}^{-\mu r}(\mu r+1)}{r^{2}}}\cdot {\frac {\vec {r}}{r}}.}$

This is similar to the Coulomb force .

The following applies to the electrostatic potential (Coulomb potential):

${\displaystyle V(r)={\frac {1}{4\pi \varepsilon _{0}}}\cdot {\frac {Q}{r}}}$

In addition, the core potential is also used to explain the scattering of alpha particles .

See also

• Coulombwall
• Yukawa potential