Lyman break galaxies at z similar to 5: Luminosity function

We present the results of a search for Lyman break galaxies (LBGs) at z similar to 5 in a 618 square-arcmin field including the Hubble Deep Field-North (HDF-N) taken by the Subaru Prime Focus Camera. Utilizing the published redshift data of the HDF-N and its flanking fields, the color selection criteria were chosen so that LBGs could be picked out most efficiently and least contaminated by foreground objects. The numbers of detected LBG candidates were 96 in 23.0 less than or equal to I-c (mag) less than or equal to 24.5 and 310 in 23.0 less than or equal to I-c less than or equal to 25.5. There is a hint of a deficiency of bright blue galaxies, although it is not as clear as has been suggested for LBGs at z similar to 3 to 4. With 305 LBG candidates in a 575 square-arcmin field, the rest-frame UV luminosity function of LBGs at 4.4 less than or similar to z < 5.3 was derived statistically by considering both the contamination by objects at the intermediate redshift and the incompleteness of the survey. The fraction of the contamination was estimated to be similar to 50% in the faintest magnitude range. The completeness of the survey was similar to 80% at the bright part of the sample, and similar to 20% in the faintest magnitude range (25.0 < I-c less than or equal to 25.5). The luminosity function of LBG candidates at z similar to 5 did not show a significant difference from those of LBGs at z similar to 3 and 4, though there might be a slight decrease in the fainter part. The UV luminosity density within the observational limit was 0.56-0.69 times smaller than that obtained for LBGs at z similar to 3, depending on the adopted cosmology and the integration range of the luminosity function. This decrease in the UV luminosity at z similar to 5 compared to that at z similar to 3 is due to the smaller number density of faint galaxies at z similar to 5. The similarity of the luminosity functions at redshifts 5 to 3 implies that most of the LBGs at z similar to 5 should have faded out at z similar to 3, and that the LBGs at z similar to 5 are different galaxies from those seen at z similar to 3, if we take the face values for the ages of the LBGs at z similar to 3 obtained by a SED fitting in which a continuous star formation in an individual galaxy was assumed. However, if the star formation in LBGs is sporadic, the similarity of the luminosity function at z similar to 3 and 5 would be explained. Such sporadic star formation has been suggested by hydrodynamical simulations and semi-analytic models with collisional starbursts, and the trend of the cosmic star formation history predicted by these studies resembles that estimated from an integration of the UV luminosity density within the observational limit.