Gamma Rays from Star Formation in Clusters of Galaxies
  Star formation in galaxies is observed to be associated with gamma-ray
emission. The detection of gamma rays from star-forming galaxies by the Fermi
Large Area Telescope (LAT) has allowed the determination of a functional
relationship between star formation rate and gamma-ray luminosity (Ackermann
et. al. 2012). Since star formation is known to scale with total infrared
(8-1000 micrometers) and radio (1.4 GHz) luminosity, the observed infrared and
radio emission from a star-forming galaxy can be used to quantitatively infer
the galaxy's gamma-ray luminosity. Similarly, star forming galaxies within
galaxy clusters allow us to derive lower limits on the gamma-ray emission from
clusters, which have not yet been conclusively detected in gamma rays. In this
study we apply the relationships between gamma-ray luminosity and radio and IR
luminosities derived in Ackermann et. al. 2012 to a sample of galaxy clusters
from Ackermann et. al. 2010 in order to place lower limits on the gamma-ray
emission associated with star formation in galaxy clusters. We find that
several clusters have predicted lower limits on gamma-ray emission that are
within an order of magnitude of the upper limits derived in Ackermann et. al.
2010 based on non-detection by Fermi-LAT. Given the current gamma-ray limits,
star formation likely plays a significant role in the gamma-ray emission in
some clusters, especially those with cool cores. We predict that both Fermi-LAT
over the course of its lifetime and the future Cherenkov Telescope Array will
be able to detect gamma-ray emission from star-forming galaxies in clusters.
