标题： 从APM星系巡天测得的实空间关联函数 显示英文标题

标题： The Real Space Correlation Function Measured from the APM Galaxy Survey

摘要： 我们给出了APM巡天中星系在范围为$17 < b_J < 20$的亮度下的实空间相关函数的确定。 我们在尺度$r < 4 Mpc/h$上恢复了相关函数的幂律形式$\xi(r) = (r/4.5)^{-1.7}$，在平坦宇宙和在共动坐标中固定的聚类情况下。如果假设聚类按照线性扰动理论演化，我们得到$\xi(r) = (r/5.25)^{-1.7}$。 我们在尺度$4 < r < 25 Mpc/h$上恢复了$\xi(r)$中的肩部特征，相关函数在上升超过幂律后，在$r > 40 Mpc/h$附近与零一致。 我们得到的$\xi(r)$形式在大尺度上是平滑的，使得可以确定红移空间中相关函数的畸变，这些畸变是由星系的特殊运动引起的。 将实空间的相关函数与 Loveday 等人（1995）对红移空间相关函数的测量进行比较，我们发现一个$omega^{0.6}/b$的值（其中$\omega$是宇宙的密度参数，b 是光密度与质量密度之间的偏差因子）为单位一在 2 sigma 水平上被排除。 显示英文摘要

摘要： We present a determination of the real space correlation function for galaxies in the APM Survey, with magnitudes in the range $17 < b_J < 20$. We recover a power law form for the correlation function $\xi(r) = (r/4.5)^{-1.7}$ on scales $r < 4 Mpc/h$, for a flat universe and clustering that is fixed in comoving coordinates.If we assume that clustering evolves according to linear perturbation theory, we obtain $\xi(r) = (r/5.25)^{-1.7}$. We recover a shoulder feature in $\xi(r)$ for scales $4 < r < 25 Mpc/h$, with the correlation function rising above the power law, before becoming consistent with zero around $r > 40 Mpc/h$. The form we obtain for $\xi(r)$ is smooth on large scales, allowing a determination of the distortions in the correlation function in redshift space, caused by the peculiar motions of galaxies to be made. Comparing the real space correlation function with the measurement of the redshift space correlation function by Loveday et al (1995), we find that a value for $omega^{0.6}/b$ (where $\omega$ is the density parameter of the universe and b is the bias factor between the density of light and mass) of unity is ruled out at the 2 sigma level.