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Non-resonant light interacting with diatomics via the polarizabilityanisotropy couples different rotational states and may lead to stronghybridization of the motion. The modification of shape resonances andlow-energy scattering states due to this interaction can be fully captured byan asymptotic model, based on the long-range properties of the scattering[Crubellier et al. arXiv:1412.0569]. Remarkably, the properties of thefield-dressed shape resonances in this asymptotic multi-channel description arefound to be approximately linear in the field intensity up to fairly largeintensity. This suggests a perturbative single-channel approach to besufficient to study the control of such resonances by the non-resonant field.The multi-channel results furthermore indicate the dependence on fieldintensity to present, at least approximately, universal characteristics. Herewe combine the nodal line technique to solve the asymptotic Schr\"odingerequation with perturbation theory. Comparing our single channel results tothose obtained with the full interaction potential, we find nodal linesdepending only on the field-free scattering length of the diatom to yield anapproximate but universal description of the field-dressed molecule, confirminguniversal behavior.

Asymptotic model for shape resonance control of diatomics by intense non-resonant light: Universality in the single-channel approximation