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The multiple scattering model of a quantum particle in a random Lorentz gasconsisting of fixed point scatterers is considered in arbitrary dimension. Anefficient method is developed to numerically compute the map of the density ofscattering resonances in the complex plane of the wavenumber without findingthem one by one. The method is applied to two collision models for theindividual scatterers, namely a resonant model, and a non-resonant hard-spheremodel. The results obtained with the former are compared to the literature. Inparticular, the spiral arms surrounding the single-scatterer resonance areidentified as proximity resonances. Moreover, the hard-sphere model is used toreveal previously unknown structures in the resonance density. Finally, it isshown how Anderson localization affects the distribution of resonance widths,especially in the one-dimensional case.

Resonance distribution in the quantum random Lorentz gas