A regularized inverted perturbation approach method: potential energy curve of the $4^1\Sigma^+_u$ state in $Na_2$

摘要

We describe a modification of the inverted perturbation approach methodallowing to construct physically sensible potential energy curves forelectronic states of diatomic molecules even when some parts of the potentialare not adequately characterized by the experimental data. The method is basedon a simple regularization procedure, imposing an additional constraint on theconstructed potential curve. In the present work it is applied to the doubleminimum 4$^1\Sigma^{+}_{\mathrm u}$ state of Na$_2$, observed experimentally bypolarization labeling spectroscopy technique.