  We study the large-scale anisotropic two-point correlation function using
46,760 luminous red galaxies at redshifts 0.16 -- 0.47 from the Sloan Digital
Sky Survey. We measure the correlation function as a function of separations
parallel and perpendicular to the line-of-sight in order to take account of
anisotropy of the large-scale structure in redshift space. We find a slight
signal of baryonic features in the anisotropic correlation function, i.e., a
``baryon ridge'' which corresponds to a baryon acoustic peak in the spherically
averaged correlation function which has already been reported using the same
sample. The baryon ridge has primarily a spherical structure with a known
radius in comoving coordinates. It enables us to divide the redshift distortion
effects into dynamical and geometrical components and provides further
constraints on cosmological parameters, including the dark energy
equation-of-state. With an assumption of a flat $\Lambda$ cosmology, we find
the best-fit values of $\Omega_{\rm m} = 0.218^{+0.047}_{-0.037}$ and
$\Omega_{\rm b} = 0.047^{+0.016}_{-0.016}$ (68% C.L.) when we use the overall
shape of the anisotropic correlation function of $40<s<200\himpc$ including a
scale of baryon acoustic oscillations. When an additional assumption
$\Omega_{\rm b}h^2=0.024$ is adopted, we obtain $\Omega_{\rm
DE}=0.770^{+0.051}_{-0.040}$ and $w=-0.93^{+0.45}_{-0.35}$. These constraints
are estimated only from our data of the anisotropic correlation function, and
they agree quite well with values both from the cosmic microwave background
(CMB) anisotropies and from other complementary statistics using the LRG
sample. With the CMB prior from the 3 year WMAP results, we give stronger
constraints on those parameters.
