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Astron. Astrophys. 318, 667-672 (1997)

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Three-point correlation function in the quasilinear regime

Y.P. Jing 1, 2 and G. Börner 1, 3

1 Max-Planck-Institut für Astrophysik, Karl-Schwarzschild-Strasse 1, D-85740 Garching, Germany
2 jing@mpa-garching.mpg.de
3 grb@mpa-garching.mpg.de

Received 14 March 1996 / Accepted 26 June 1996


Using the second-order Eulerian perturbation theory (SEPT), we study the three-point correlation function [FORMULA] in the quasilinear regime for the SCDM, LCDM and MDM models, with the interesting result that these three models have distinctive three-point correlation functions. We test this SEPT prediction using a large set of high-resolution N-body simulations. The N-body results show that the SEPT prediction for [FORMULA] is not accurate even in the quasilinear regime ([FORMULA]), in contrast to previous N-body tests on the skewness. However, similar to the perturbation theory, our N-body results still predict a strong dependence of the three-point correlation on the triangle shape which is observable in the distribution of galaxies if the galaxies trace the distribution of the underlying mass

Key words: cosmology: observations – large-scale structure of Universe – cosmology: theory

Send offprint requests to: G. Börner

© European Southern Observatory (ESO) 1997

Online publication: July 3, 1998