The luminosity function of the fossil group RX J1552.2+2013

We determine the first fossil group luminosity function based on spectroscopy of the member galaxies. The fossil group RX J1552.2+2013 has 36 confirmed members, is at a mean redshift of 0.136, and has a velocity dispersion of 623 km s(-1) (or 797 km s(-1) if four emission-line galaxies in the outskirts of the velocity distribution are included). The luminosity function of RX J1552.2+2013, measured within the inner region of the system (similar to(1)/R-3(vir)) in the range -23.5 < M-i' < -17.5, is well fitted by a Schechter function with M-i'(*) = -21.3 +/- 0.4 and alpha = -0.6 +/- 0.3 or by a Gaussian function centered on M-i' = -20.0 +/- 0.4 with sigma = 1.29 +/- 0.24 i' mag ( H-0 = 70 km s(-1)Mpc(-1), Omega(M) = 0.3, and Omega(Lambda) = 0.7). The luminosity function obtained from a photometric survey in the g', r', and i' bands ( and statistical background correction) confirms the spectroscopically determined results. There is a significant dip in the luminosity function at M-r' = -18 mag, as is also observed for other clusters. RX J1552.2+2013 is a rich, red-galaxy-dominated system, with at least 19 galaxies with magnitudes between m(3) and m(3) + 2, within a surveyed circular area of radius 625 h(70)(-1) kpc centered on the peak of the X-ray emission. Its mass, similar to 3 X 10(14) M-circle dot, M/ L of 507M(circle dot)/ L-B circle dot, and L-X of 6.3 X 10(43) h(50)(-2) ergs s(-1) (bolometric) are more representative of a fossil cluster than of a fossil group. The central object of RX J1552.2+2013 is a cD galaxy that may have accreted the more luminous (similar to L*) former members of the group. Although dynamical friction and subsequent merging are probably the processes responsible for the lack of bright galaxies in the system, for the fainter members there must be another mechanism in action ( perhaps tidal disruption) to deplete intermediate-luminosity galaxies (M-r' approximate to -18) from the fossil group.