标题： APM星系团的相关函数 显示英文标题

标题： Correlation Functions of the APM Clusters of Galaxies

摘要： 我们发现APM星系团的两点关联函数的幅度远高于APM小组所声称的。 随着丰富度限值从R = 53增加到80，关联长度从17.5到28.9 h^{-1}Mpc增加。 这表明APM星系团关联函数的丰富度依赖性也远强于APM小组所报告的。 丰富度依赖性可以用拟合公式r_0 = 0.53 d_c + 0.01来表示，这与Bahcall的公式r_0 = 0.4 d_c一致。 我们尝试找出差异的可能原因。 然而，我们的APM星系团关联函数估计结果被发现对计算方法和样本定义的变化具有鲁棒性。 显示英文摘要

摘要： We have found that the two-point correlation function of the APM clusters of galaxies has an amplitude much higher than that claimed by the APM group. As the richness limit increases from R = 53 to 80, the correlation length increases from 17.5 to 28.9 h^{-1}Mpc. This indicates that the richness dependence of the APM cluster correlation function is also much stronger than what the APM group has reported. The richness dependence can be represented by a fitting formula r_0 = 0.53 d_c + 0.01, which is consistent with the Bahcall's formula r_0 = 0.4 d_c. We have tried to find the possible reason for discrepancies. However, our estimates for the APM cluster correlation function are found to be robust against variation of the method of calculation and of sample definition.