Calculation of Franck-Condon factors and r-centroids using isospectral Hamiltonian approach

The calculation of Franck-Condon factors is of interest to study the vibrational transitions in diatomic molecules. Morse potential is one of the commonly used models for these calculations. Using isospectral Hamiltonian approach, a family of isospectral potentials, which have the same energy eigenvalues as that of Morse potential has been obtained. The eigenfunctions for this family of isospectral potentials are different from that of the original potential. The Franck-Condon factors and r-centroid values obtained using the deformed wavefunctions can be varied to match the experimental data.