Dark Matter Halos Merging Trees: the Merging Cell Model in a CDM Cosmology

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We have constructed the merging history of dark matter halos in a SCDM cosmology, by means of a the ``Merging Cell Model'' (Rodrigues & Thomas 1996). It is based on the linear theory of growth of density fluctuations, and the Top-Hat model, and it takes into account mergers between halos through simplified criteria. The halo mass function, the progenitors and children mass distribution, the distribution of formation times, and the halo autocorrelation function (in the Lagrangian space of initial conditions) have been computed. To test the reliability of the model, results have been compared to the analytical predictions of the extended Press & Schechter theory, that in turn well describes results of N-body simulations. A general good agreement has been found, thus providing us with a reliable tool for rapidly addressing the issue of galaxy formation and evolution in hierarchical scenarios. The model is particularly suitable for studying galaxy clusters at low redshift, and the population of Lyman-break galaxies at high z.