Potential model employed in code development

The interaction we will use for these calculations is a semirealistic nucleon-nucleon potential known as the Minnesota potential $$ V_{\alpha}\left(r\right)=V_{\alpha}\exp{(-\alpha r^{2})}. $$ The spin and isospin dependence of the Minnesota potential is given by $$ \begin{equation} V\left( r\right)=\frac{1}{2}\left( V_{R}+\frac{1}{2}\left(1+P_{12}^{\sigma}\right) V_{T}+\frac{1}{2}\left(1-P_{12}^{\sigma}\right) V_{S}\right)\left(1-P_{12}^{\sigma}P_{12}^{\tau}\right), \tag{7} \end{equation} $$ where $$ P_{12}^{\sigma}=\frac{1}{2}\left(1+\sigma_{1}\cdot\sigma_{2}\right), $$ and $$ P_{12}^{\tau}=\frac{1}{2}\left( 1+\tau_{1}\cdot\tau_{2}\right) $$ are the spin and isospin exchange operators, respectively.