  We present the results of a search for low surface brightness galaxies
(hereafter LSBs) in the Coma cluster. Bernstein et al. report on deep CCD
observations in R of a 7.5 by 7.5 arcminute region in the core of the Coma
cluster, and we extend this work by finding and measuring 36 LSBs within this
field. We report both R and Bj results. The average magnitude based on the best
fit exponential to the images is 22.5 (R) and the typical exponential scale is
1.3 arcseconds. The range of exponential scales is 0.4 to 1.2 kpc (distance
modulus 34.89), and the range of central surface brightnesses is 24 to 27.4 R
magnitudes per square arcsecond. Many of these objects are similar in terms of
scale length and central surface brightness to those found by others in nearby
clusters such as Fornax (Bothun, Impey and Malin), as well as in the low
luminosity end of the dwarfs cataloged in the review by Ferguson and Binggeli.
We find no evidence for a dependence of color on central surface brightness or
on distance from the D galaxies or the X-ray center of Coma. We also find that
these LSBs make a small contribution to the overall mass of the cluster. We
discuss these results in terms of possible scenarios of LSB formation and
evolution.
