Ma. Zwaan et al., THE TULLY-FISHER RELATION FOR LOW SURFACE BRIGHTNESS GALAXIES - IMPLICATIONS FOR GALAXY EVOLUTION, Monthly Notices of the Royal Astronomical Society, 273(2), 1995, pp. 35-38
We present the B-band Tully-Fisher relation for low surface brightness
(LSB) galaxies. These LSB galaxies follow the same Tully-Fisher relat
ion as normal spiral galaxies. This implies that the mass-to-light rat
io (M/L) of LSB galaxies is typically a factor of 2 larger than that o
f normal galaxies of the same total luminosity and morphological type.
Since the dynamical mass of a galaxy is related to the rotational vel
ocity and scalelength via M proportional to V(2)h, at fixed linewidth
LSB galaxies must be twice as large as normal galaxies. This is confir
med by examining the relation between scalelength and linewidth for LS
B and normal galaxies. The universal nature of the Tully-Fisher relati
on can be understood if LSB galaxies are galaxies with low mass surfac
e density, sigma ($) over bar. The mass surface density apparently con
trols the luminosity evolution of a galaxy in such a way as to keep th
e product sigma ($) over bar M/L constant.