Breaking degeneracy of dark matter models by the scale-scale correlations of galaxies

Recently, scale-scale correlations have been detected in the distributions of quasars' Ly alpha absorption lines and the maps of cosmic temperature fl uctuations. This paper investigates the scale-scale correlations in galaxy distributions. Using samples of mass held given by N-body simulation, we fi rst show that the scale-scale correlation of two-dimensional and three-dime nsional mass distributions at present day are capable of breaking the degen eracy between the SCDM (standard cold dark matter model) and OCDM (open CDM model) or LCDM (flat CDM model) and even show the difference between the O CDM and LCDM. Using biased galaxy samples produced in an appropriate bias m odel, we show that the scale-scale correlation of galaxy distribution at ze ro redshift is still a powerful tool to break the degeneracy in the paramet er space, including both cosmological and biasing parameters. We analyze th e scale-scale correlations of the APM bright galaxy catalog and compare it with the mock catalog in the SCDM, OCDM, and LCDM models. We find that all the spectra of local and nonlocal scale-scale correlations predicted by the OCDM model are in excellent agreement with those of the APM-BGC sample, wh ile the SCDM and LCDM mock catalog appear to have somewhat weaker scale-sca le correlations than the observation.