Modified two-centre continuum wavefunction:: application to the dissociative ionization of H2+ by fast electrons

A 3C-type two-centre wavefunction with four parameters that we will call a modified two-centre continuum wavefunction (MTCC) is proposed. This function is constructed in a closed analytical form by solving the Schrodinger equation of an electron (with wave vector k and position vector r) in the Coulomb field of two fixed charged nuclei. The obtained solution fulfils the correct boundary conditions asymptotically up to the order O((kr)(-2)). The MTCC function is applied to calculations of the seven-fold differential cross section of the dissociative ionization of the simplest homo-nuclear diatomic system H-2(+) by fast electrons. The good agreement of the obtained results with exact ones shows that the MTCC function could be a very elegant and useful compromise in the description of slow electrons emerging from diatomic targets.