We present H spectroscopic observations and detailed modelling of the Balmer filaments in the supernova remnant Tycho. We used Galaxy H Fabry-P'erot Spectrometer on the William Herschel Telescope with a 3.4’3.4’ field-of-view, 0.2" pixel scale and km/s resolution at 1" seeing for hours, resulting in 82 spatial-spectral bins that resolve the narrow H line in the entire Tycho’s northeastern rim. For the first time, we can mitigate artificial line broadening from unresolved differential motion, and probe H emission parameters in varying shock and ambient medium conditions. Broad H line remains unresolved within spectral coverage of 392 km/s. We employed Bayesian inference to obtain reliable parameter confidence intervals, and quantify the evidence for models with multiple line components. The median H narrow-line full-width at half-maximum of all bins and models is km/s at the confidence level, varying within [35, 72] km/s between bins and clearly broadened compared to the intrinsic (thermal) km/s. Possible line splits are accounted for, significant in of the filament, and presumably due to remaining projection effects. We also find wide-spread evidence for intermediate-line emission of a broad-neutral precursor, with median km/s ( confidence). Finally, we present a measurement of the remnant’s systemic velocity, km/s, and map differential line-of-sight motions. Our results confirm the existence and interplay of shock precursors in Tycho’s remnant. In particular, we show that suprathermal narrow-line emission is near-universal in Tycho and that, in absence of an alternative explanation, collisionless supernova remnant shocks constitute a viable acceleration source for Galactic TeV Cosmic-Ray protons.

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