Equatorial Rossby mode parameters. Left: full width at half maximum of the resonant peaks that could be identified as equatorial Rossby modes, as a function of m. The diamonds show the linewidths measured in the u_y equatorial synthetic power spectrum, and the coloured solid lines represent the theoretical Rossby mode linewidth, obtained from the classical dispersion relation (see Eq. (60)). The colour code refers to the value of the turbulent Reynolds number: Re_turb = 300 (red), 700 (blue), and 1000 (green). The black line shows the mode linewidths inferred from solar observations at the equator in the latitudinal velocity spectrum, as reported by Liang et al. (2019). Error bars from the fitting procedure reported by the authors are also shown. Right: Rossby mode amplitude (coloured solid lines) in the u_y equatorial synthetic power spectra, as a function of azimuthal order m, defined as described in the text (see Eq. (58)). The colour code is identical to the one in the left panel.