Inner shell excitation of Cu, Ag and Au

The ground states of Cu, Ag and Au have the configuration nd$^{\mathrm{10}}$(n$+$1)s with n $=$ 3, 4 and 5. The lowest excited manifold for Cu and Au has the configuration nd$^{\mathrm{9}}$(n$+$1)s$^{\mathrm{2}}$ which is well separated from the next excited manifold nd$^{\mathrm{10}}$(n$+$1)p. However, for Ag, the lowest 4d$^{\mathrm{9}}$5s$^{\mathrm{2}}$ level with J $=$ 5/2 lies between the two levels of the 4d$^{\mathrm{10}}$5p manifold. In [1] we compared our Relativistic Distorted Wave calculations for the excitation of the 4d$^{\mathrm{10}}$5p manifold with experimental measurements which would have included a contribution from the 4d$^{\mathrm{9}}$5s$^{\mathrm{2}}$ J $=$ 5/2 level. While we do not expect the cross section for this forbidden transition to be large compared to the optical allowed transitions of the P levels, we decided to investigate excitation of these inner shell levels, in part because they are the lowest excited levels in Cu and Au, We will discuss the theoretical expressions for these excitations as well as give numerical results of our cross section calculations. [1] S. D. To\v{s}i\'{c}, V. Pej\v{c}ev, D. \v{S}evi\'{c}, R. P. McEachran, A. D. Stauffer, and B. P. Marinkovi\'{c}, Phys. Rev. A \textbf{91}, 052703 (2015)