Charge Densities of the Nuclei 2O5Tl, 206,208Pb and the Occupancies of the Shell States

The charge densities of the nuclei ²⁰⁵Tl, ^206,208Pb have been calculated in modified shell model with fractional number occupations of the shell states 2s, 2p, 2d, and 3s. The value of the n_3s was found to be 0.6 for ²⁰⁶TI, and ≈ 1 for ^206,208Pb. These values differ appreciably from other data which range between 1.3 to 1.6. By addition of the two neutrons to ²⁰⁶P a charge of 0.24e of one proton is moved from the inner region of the ²⁰⁸Pb to the outer region. In the context of our modified shell model calculations, the measured charge density and occupancy profiles imply that the neutron degrees of freedom we employ carry charge.