The clustering of the SDSS-IV extended Baryon Oscillation Spectroscopic Survey DR14 LRG sample: structure growth rate measurement from the anisotropic LRG correlation function in the redshift range 0.6 < z < 1.0

We analyse the anisotropic clustering of the Sloan Digital Sky Survey-IV Extended Baryon Oscillation Spectroscopic Survey (MOSS) Luminous Red Galaxy Data. Release 14 (DR14) sample combined with Baryon Oscillation Spectroscopic Survey (BOSS) CMASS sample of galaxies in the redshift range 0.6 < z <. 1.0, which consists 0180 118 galaxies from eBOSS and 46 439 galaxies from the BOSS-CMASS sample. The eBOSS-CMASS Luminous Red Galaxy sample has a sky coverage of 1844 deg(2), with an effective volume of 0+9 Gpc(3), The analysis was made in configuration space using a Legendre multipole expansion. The Redshift Space Distortion signal is modelled as a combination of the Convolution i.agrangian Perturbation Model and the Gaussian Streaming Model. We constrain the logarithmic growth of structure times the amplitude of dark matter density fluctuations, f(z(eff))sigma(8)(z(eff)) = 0.454 +/- 0.134, and the Alcock-Paczynski dilation scales which constraints the angular diameter distance D-A(z(eff)) = 1466.5 +/- 133.2(r(s)/r(s)(fid)) and H(z(eff)) = 105.8 +/- 15.7(r(s)(fid)/r(s))km s(-1)Mpc(-1), where r(s) is the sound horizon at the end of the baryon drag epoch and r(s)(fid) is its value in the fiducial cosmology at an effective redshift z(eff) = 0.72. These results are in full agreement with the current Lambda-Cold Dark Matter (Lambda-CDM) cosmological model inferred from Planck measurements. This study is the first eBOSS LRG full-shape analysis i.e. including Redshift Space Distortions simultaneously with the Alcock-Paczynski effect and the Baryon Acoustic Oscillation scale.