Electromagnetic properties of 6Li in a cluster model with breathing clusters.

Abstract

Electromagnetic properties of $^{6}\mathrm{Li}$ are studied using a microscopic (\ensuremath{\alpha}+d) cluster model. In addition to the ground state of the clusters, their breathing excited states are included in the wave function in order to take into account the distortion of the clusters. The generator coordinate calculations are free from the spurious center-of-mass motion and arbitrary parameters. The cluster stability condition is satisfied. The elastic charge form factor ${F}_{C0}$ is in good agreement with experiment up to momentum transfer 8 ${\mathrm{fm}}^{\mathrm{\ensuremath{-}}2}$. The discrepancy appearing at momentum transfer ${q}^{2}$>8 ${\mathrm{fm}}^{\mathrm{\ensuremath{-}}2}$ must be attributed to the omission of the short range nucleon correlation. The ground state magnetic form factor ${F}_{M1}$ and the inelastic charge form factor ${F}_{C2}^{\mathrm{*}}$ are also well described. The breathing excited states of d influence the behavior of ${F}_{C0}$ at high momentum transfer only, but they have an effect on ${F}_{M1}$ and ${F}_{C2}^{\mathrm{*}}$ even at low momentum transfer. The effect of the breathing states of \ensuremath{\alpha} on the form factors proves to be negligible except at high momentum transfer. The ground-state charge density, rms charge radius, the magnetic dipole moment and a reduced transition strength are also obtained in fair agreement with experiment.