Simultaneous ionization-excitation of helium to the 3s, 3p, and 3d states of He$^+$

We extended our work on ionization of helium with simultaneous excitation to the $n=2$ states~[1,2] to include the $n=3$ manifold of the residual ion. This requires the inclusion of pseudo-states constructed on the 3s, 3p, and 3d ionic core. We used a parallelized version of the B-spline R-matrix (BSR) package~[3] to perform a calculation with 1,254 target states, resulting in up to 3,027 coupled channels and matrices of rank up to 200,000 to be diagonalized. The triple-differential cross section (TDCS) was extracted by the projection method~[1,4]. We obtain excellent agreement with experiment~[5,6] regarding the angular dependence of the TDCS for all kinematical situations available for comparison. Some discrepancies remain for the absolute magnitude. Results for the $n=2$ states are stable and closely agree with previous predictions~[1,2].\\[4pt] [1] O.~Zatsarinny and K.~Bartschat, Phys.\ Rev.\ Lett.~{\bf 107} (2011) 023203.\\[0pt] [2] O.~Zatsarinny and K.~Bartschat, J.~Phys.\ B~{\bf 47} (2014) 061001.\\[0pt] [3] O.~Zatsarinny and K.~Bartschat, Comp.\ Phys~{\bf 174} (2006) 273.\\[0pt] [4] O.~Zatsarinny and K.~Bartschat, J.~Phys.\ B~{\bf 46} (2013) 112001.\\[0pt] [5] S.~Bellm, J.~Lower, and K.~Bartschat, Phys.~Rev.~Lett.~{\bf 96} (2006) 223201.\\[0pt] [6] S.~Bellm {\it et al.}, Phys.~Rev.~A~{\bf 78} (2008) 032710.