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We use numerical and analytical results to construct a simple ansatz for theenergy dynamical correlation function of the 1D antiferromagnetic Heisenbergmodel. This is applied to compute the phonon assisted absorption spectra ofmagnetic excitations (spinons) in quasi-one dimensional spin 1/2 insulators andshow to reproduce very well recent infrared measurements in Sr$_2$CuO$_3$.Comment: Revtex, 4 page

Dynamics of the one-dimensional Heisenberg model and optical absorption of spinons in cuprate antiferromagnetic chains