Ground-State Properties and Low-Lying States of theN14Nucleus

An approximate Hartree-Fock self-consistent-field calculation is carried out on the ${\mathrm{N}}^{14}$ nucleus using the concept of symmetry and equivalence restrictions. The configuration interaction matrices belonging to a definite value of $J$, $\Pi$, $T$ are constructed using the $\mathrm{jj}$ coupled configurations arising from ${\mathrm{}\left(1p\right)\mathrm{}}^{-2\mathrm{}}$ shell. The approximate Hartree-Fock binding energy turns out to be 38.5 MeV too small, while it was only 13 MeV too small for the ${\mathrm{O}}^{16}$. This is attributed to an inadequate choice of the tensor interaction or to the omission of a two-body spin-orbit interaction. The static magnetic dipole moment is calculated to be 0.39 nuclear magneton and the rms radius is found to be 2.14 F. The results are compared with the earlier intermediate coupling calculations. A number of low-lying even-parity states are calculated and compared with the experimental values.