Phenomenological Wave Function ofLi6

Abstract

In the framework of the $\ensuremath{\alpha}$-deuteron cluster model, the $J=1$ deformation is considered in the phenomenological wave function of $^{6}\mathrm{Li}$ so as to produce the charge form factor and the quadrupole moment at the same time. In our model the deviation from the $S$ state of the relative motion between the $\ensuremath{\alpha}$ particle and the deuteron compensates the quadrupole moment of the free deuteron, ${Q}_{d}^{\mathrm{exp}}=+0.278\ifmmode\pm\else\textpm\fi{}0.008$ ${\mathrm{fm}}^{2}$, to give that of $^{6}\mathrm{Li}$, ${Q}_{\mathrm{Li}}^{\mathrm{exp}}=\ensuremath{-}0.08\ifmmode\pm\else\textpm\fi{}0.008$ ${\mathrm{fm}}^{2}$. It is shown that the quadrupole contribution plays an important role in filling up the diffraction minimum around ${q}^{2}=8$ ${\mathrm{fm}}^{\ensuremath{-}2}$ in the elastic charge form factor.