The exact Born-Oppenheimer oscillator strength distribution moments of H2+(1sσg) for the excitation to all the continua

In the Born-Oppenheimer (BO) approximation, the exact oscillator strength distribution moments (OSDM) of H2+ (1sσg) for the excitation to all the continua Si(μ, R) and their associated moments Li (μ, R) for various internuclear distances R, where μ 0, ±1, ±2, are accurately computed. The moments for μ <='' 0 at R = 2.0 au reported here are shown to be in good agreement with those obtained from the sum of the partial photoionization cross sections calculated using the exact BO continuum wavefunctions. The values of Li(μ, R) at R = ∞, i.e. the H atom, are also shown to be in excellent agreement with those reported previously. It is very interesting to report that all the moments smoothly approach the asymptotic atom limits i.e. H and He+. For the first time the moments Li(μ, R) as well as the moments L(μ, R) of the total excitation, including both the total ionization and discrete excitation which relate to the mean energies of straggling, stopping, Lamb shift etc, are accurately computed and reported. (author)