Evolution of the spiral structure of galaxies from the HST COSMOS field

We have investigated the pitch angle ($\psi$) of the spiral arms of galaxies in the Hubble Space Telescope COSMOS field. The sample consists of 102 face-on galaxies with a two-armed pattern at a mean redshift $⟨z⟩\approx 0.5$. The typical values of $\psi$ in the spiral arms of distant galaxies are shown to be close to those for nearby spiral galaxies. Within one galaxy the scatter of $\psi$ for different arms is, on average, half the mean pitch angle. In the $z$ range from 1 to 0 we have found a tendency for $\psi$ to decrease. Our analysis of the $\psi$ distributions in galaxies at different redshifts is consistent with the assumption that in most of the galaxies at $z\le 0.5$ the spiral arms are tidal in origin or they arose from transient recurrent instabilities in their disks.