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Starting from the 1970s, some relations connecting dark matter and baryonswere discovered, such as the Tully-Fisher relation. However, many of therelations found in galaxies are quite different from that found in galaxyclusters. Here, we report two new mysterious universal relations connectingdark matter and baryons in both galaxies and galaxy clusters. The firstrelation indicates that the total dynamical mass of a galaxy or a galaxycluster $M_{500}$ has a power-law relation with its total baryonic mass $M_b$within the `virial region': $M_{500} \propto M_b^a$, with $a \approx 3/4$. Thesecond relation indicates that the enclosed dynamical mass $M_d$ is almostdirectly proportional to the baryonic mass for galaxies and galaxy clusterswithin the central baryonic region: $M_d \propto M_b$. The close relationsbetween dark matter and baryons in both galaxies and galaxy clusters suggestthat some unknown interaction or interplay except gravity might exist betweendark matter and baryons.

Two mysterious universal dark matter-baryon relations in galaxies and galaxy clusters