Diatomic molecules as perturbed Morse oscillators. IV. Franck–Condon factors for very high J

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Abstract
The perturbed-Morse-oscillator formalism for describing rotating, vibrating diatomic molecules is modified so as to be suitable for very large values of the rotational quantum number J. The modification consists of putting as much as possible of the rotational energy into the unperturbed Hamiltonian, and using the remainder, along with the ’’anharmonic’’ vibrational potential, as perturbations of a Morse–Peckeris oscillator. The accuracy of the resulting vibrational wavefunctions is exhibited by using them to compute Franck–Condon factors for the R branches of the A 1Σu+ −X 1Σg+ band system of Ca2 for J=50 and J=100 and comparing with published RKR results.