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We present the brightest cluster galaxies (BCGs) catalog for SPectroscoicIDentification of eROSITA Sources (SPIDERS) DR14 cluster program value-addedcatalog. We list the 416 BCGs identified as part of this process, along withtheir stellar mass, star formation rates, and morphological properties. Weidentified the BCGs based on the available spectroscopic data from SPIDERS andphotometric data from SDSS. We computed stellar masses and SFRs of the BCGs onthe basis of SDSS, WISE, and GALEX photometry using spectral energydistribution fitting. Morphological properties for all BCGs were derived bySersic profile fitting using the software package SIGMA in different opticalbands (g,r,i). We combined this catalog with the BCGs of galaxy groups andclusters extracted from the deeper AEGIS, CDFS, COSMOS, XMM-CFHTLS, and XMM-XXLsurveys to study the stellar mass - halo mass relation using the largest sampleof X-ray groups and clusters known to date. This result suggests that the massgrowth of the central galaxy is controlled by the hierarchical mass growth ofthe host halo. We find a strong correlation between the stellar mass of BCGsand the mass of their host halos. This relation shows no evolution since z$\sim$ 0.65. We measure a mean scatter of 0.21 and 0.25 for the stellar mass ofBCGs in a given halo mass at low ( $0.1<z < 0.3$ ) and high ( $0.3<z<0.65$ )redshifts, respectively. We further demonstrate that the BCG mass is covariantwith the richness of the host halos in the very X-ray luminous systems. We alsofind evidence that part of the scatter between X-ray luminosity and richnesscan be reduced by considering stellar mass as an additional variable.

Stellar mass -- halo mass relation for the brightest central galaxies of X-ray clusters since z~0.65