Estimate of integrateds-wave Raman scattering intensity from the2P11ultraviolet absorption line shape in liquid helium

We show in a unified model that the shift and width of the ultraviolet absorption line shapes in liquid helium are related to the integrated Raman-scattering cross sections. This relation is used to estimate the magnitude of the integrated $s$-wave scattering by use of the observed ultraviolet spectrum. We find $0.25\lesssim \frac{{\mathcal{I}}_s}{{\mathcal{I}}_d}\lesssim 3.4$ The model gives standard results for $d$-wave scattering. We discuss some other possible uses of the model.