Single Configuration Analysis ofLi6

Abstract

The energy level and static moment data of ${\mathrm{Li}}^6$ are analyzed in terms of the intermediate coupling model with the usual assumption of a ${\mathrm{}\left(1s\right)\mathrm{}}^4{\mathrm{}\left(1p\right)\mathrm{}}^2$ configuration. The matrix elements of the central, spin-orbit, and tensor forces are derived from the data. The potential implied by the data has a central force strength which is larger than that expected from the two-nucleon analysis and has a different spin dependence. The tensor part of the potential is found not to be necessary for a satisfactory energy-level structure, and an extremely weak tensor force is called for by the small quadrupole moment. The magnetic moment is too large by about six percent. An extensive numerical study has been made of two-body potentials with parameters adjusted to give the correct binding energy and quadrupole moment to the deuteron and no simultaneous fit of the lithium energy levels and quadrupole moment seems possible.