Doublet Splitting in the1pShell due to Tensor Interaction

The separation of $p_{\frac{3}{2}}$ and $p_{\frac{1}{2}}$ orbitals in ${\mathrm{N}}^{15}$ due to the tensor force has been estimated using second-order perturbation theory. The estimated splitting of 5.6 Mev is to be compared with an experimental separation of 6.3 Mev. General relationships needed in computing the doublet splitting due to tensor interaction in nuclei with a closed shell plus or minus one nucleon are developed.