Rk. Nesbet, NONADIABATIC PHASE-MATRIX METHOD FOR VIBRATIONAL-EXCITATION AND DISSOCIATIVE ATTACHMENT IN ELECTRON-MOLECULE SCATTERING, Physical review. A, 54(4), 1996, pp. 2899-2905
The R-matrix theory of vibronic processes in electron-molecule scatter
ing is developed from a generalized variational formalism, valid for a
ny enclosed system of interacting particles with different mass parame
ters. The question of choice of variational basis functions is discuss
ed, examining practical reasons for using basis functions that do not
have specified boundary values or normal gradients on the boundary sur
face of the enclosed volume. A nonadiabatic theory is derived in which
the vibronic R matrix, including channels describing dissociation pro
cesses, is deduced from the fixed-nuclei electronic R matrix, given as
a function of electronic energy and internuclear distance.