  Recent studies reveal a radial acceleration relation (RAR) in galaxies, which
illustrates a tight empirical correlation connecting the observational
acceleration and the baryonic acceleration with a characteristic acceleration
scale. However, a distinct RAR has been revealed on BCG-cluster scales with a
seventeen times larger acceleration scale by the gravitational lensing effect.
In this work, we systematically explored the acceleration and mass correlations
between dynamical and baryonic components in 50 Brightest Cluster Galaxies
(BCGs). To investigate the dynamical RAR in BCGs, we derived their dynamical
accelerations from the stellar kinematics using the Jeans equation through Abel
inversion and adopted the baryonic mass from the SDSS photometry. We explored
the spatially resolved kinematic profiles with the largest integral field
spectroscopy (IFS) data mounted by the Mapping Nearby Galaxies at Apache Point
Observatory (MaNGA) survey. Our results demonstrate that the dynamical RAR in
BCGs is consistent with the lensing RAR on BCG-cluster scales as well as a
larger acceleration scale. This finding may imply that BCGs and galaxy clusters
have fundamental differences from field galaxies. We also find a mass
correlation, but it is less tight than the acceleration correlation.
