Electron transfer, ionization, and excitation in collisions between protons and the ions Na$^{10+}$ and Mg$^{11+}$.

Coupled-state cross sections are being determined for electron transfer, ionization, and excitation in collisions between keV-energy protons and the hydrogenic ions Na$^{10+}$ and Mg$^{11+}$ initially in the ground state, extending early\footnote{T. G. Winter, Phys. Rev. A {\bf 35}, 3799 (1987).} and more recent work\footnote{T. G. Winter, Phys. Rev. A {\bf 87}, 032704 (2013).} on the less highly charged target ions He$^{+}$, Li$^{2+}$, Be$^{3+}$, B$^{4+}$, and C$^{5+}$, and work reported at the 2016 and 2017 DAMOP meetings on the target ions N$^{6+}$, O$^{7+}$, F$^{8+}$, and Ne$^{9+}$. As in the more recent works, a basis of 60 Sturmians on each center is being used, as well as bases of several hundred Sturmians on the target nucleus and a single $1s$ function on the proton. For excitation and ionization, various single-center bases are also considered. The extent to which simple scaling rules with target nuclear charge $Z$ are valid is being examined further for direct excitation as well as ionization and electron transfer at intermediate energies near where the cross sections peak.