Multipole moments for C12 from coupled channels analysis of 0.8 and 1.0 GeV proton scattering

A coupled channels analysis of data from previous work on proton scattering from C12 at 0.8 and 1.0 GeV is presented. Calculations were performed in which the 0+,2+, and 4+ states were assumed to belong to the ground state rotational band. A deformed Woods-Saxon optical potential, with and without spin-orbit terms, was adjusted to fit the data. The multipole moments of the deformed optical potentials are related to those of the matter distributions by Satchlers theorem. Although the various values of the moments obtained here from the (p,p) data agree in sign and are approximately the same in magnitude, the values are consistently smaller for ME(2) and ME(4) than those obtained from (e,e) and from Hartree-Fock calculations.