Li6Plus Neutron Configuration inLi7

Energy levels of ${\mathrm{Li}}^7$ are examined in the ${\mathrm{Li}}^6$ cluster plus neutron configuration. The main purpose is to determine whether a positive-parity level does exist at 6.54 Mev as indicated by some experiments. Our results show that the formation of such a state is not favored by the fundamental nucleon-nucleon interaction which yields the deuteron binding energy and explains the $s$- and $p$-wave scattering data. The energy of the ${}_{}{}^{24}{}_{}{}^{}P_{\frac{5}{2}}^{}{}_{}{}^{}$ state has also been computed. The resultant value of -27.2 Mev is in fair agreement with the experimental value of -31.7 Mev.