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In two previous papers a semi-analytical model was presented for thehierarchical clustering of halos via gravitational instability from peaks in arandom Gaussian field of density fluctuations. This model is better foundedthan the extended Press-Schechter model, which is known to agree with numericalsimulations and to make similar predictions. The specific merger rate, however,shows a significant departure at intermediate captured masses. The origin ofthis was suspected as being the rather crude approximation used for the densityof nested peaks. Here, we seek to verify this suspicion by implementing a moreaccurate expression for the latter quantity which accounts for the correlationamong peaks. We confirm that the inclusion of the peak-peak correlationimproves the specific merger rate, while the good behavior of the remainingquantities is preserved.Comment: ApJ accepted. 15 pages, including 4 figures. Also available at  ftp://pcess1.am.ub.es/pub/ApJ/effectpp.ps.g

The Effects of the Peak‐Peak Correlation on the Peak Model of Hierarchical Clustering