COSMOLOGICAL CONSTANT, COBE COSMIC MICROWAVE BACKGROUND ANISOTROPY, AND LARGE-SCALE CLUSTERING

A flat, scale-free, low-density cold dark matter model with a positive cosmological constant is one of the surviving scenarios after the COB E discovery of large-scale anisotropy in the cosmic background radiati on. We calculate the expected properties of the model when normalized to the anisotropy measured by COBE, for various large-scale structure observations: the CfA and IRAS galaxy power spectra, the galaxy peculi ar velocities, the bulk-flow motion, the APM galaxy angular correlatio n function, and the cluster mass function. Several effects due to the cosmological constant and properties of primordial fluctuations from i nflation are taken into account. We find that a flat model (OMEGA + OM EGA(LAMBDA) = 1) with OMEGAh almost-equal-to 0.25-0.3 is consistent wi th all the above large-scale structure observations. A value of OMEGA greater than or similar to 0.3-0.4 is also consistent with the observe d age of the globular clusters and a galaxy bias of b approximately 1. 5. The streaming velocity test fits the data at the 1.6 sigma level an d appears to be a critical test for the model.