Transition probabilities of the B’ ${\mathrm{}}^1$${\Sigma }_u^{+}$→X ${\mathrm{}}^1$${\Sigma }_g^{+}$ system of molecular hydrogen

From published potential-energy curves and transition dipole moments we obtain by numerical integration of the equations of nuclear motion the vibrational eigenfunctions of the X ${\mathrm{}}^1$ ${\Sigma }_g^{+}$ and B’ ${\mathrm{}}^1$ ${\Sigma }_u^{+}$ states of ${\mathrm{H}}_2$ and we calculate the probabilities of radiative transitions from the discrete vibrational levels of the excited B’ ${\mathrm{}}^1$ ${\Sigma }_u^{+}$ electronic state of ${\mathrm{H}}_2$ to the discrete and continuum vibrational levels of the ground X ${\mathrm{}}^1$ ${\Sigma }_g^{+}$ electronic state. The Franck-Condon factors are also presented.