Representation of the electronic continuum of H-2 with B-spline basis

We present an L(2) integrable method with B-spline basis to describe the electronic continuum of two-electron diatomic molecules. The method is applied to obtain (i) energy positions and widths of the lowest (1) Sigma(u)(+) doubly-excited states of the H-2 molecule, and (ii) photoionization cross sections of H-2 in the fixed-nuclei approximation. Our results are compared with existing theoretical and experimental works. We show the existence of avoided crossings between two series of doubly-excited states, (2p sigma(u)ns sigma(g)) and (2p sigma(u)nd sigma(g)), converging to the 2p sigma(u) ionization threshold of H-2.