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By employing the nonlinear Regge trajectory relation$M=m_R+\beta_x(x+c_{0x})^{2/3}\,\,(x=l,\,n_r)$, we investigate the heavy-heavysystems, such as the doubly heavy diquarks, the doubly heavy mesons, theheavy-heavy baryons, and the heavy-heavy tetraquarks. The fitted Reggetrajectories illustrate that these heavy-heavy systems satisfy the aboveformula and show the existence of a universal description of the heavy-heavysystems. The universality embodies not only the universal behavior$M{\sim}x^{2/3}$ but also the universal parameters. The values of $c_{fn_r}$and $c_{fl}$ vary with different heavy-heavy systems, but they are close toone. There is an inequality $\beta_{n_r}>\beta_{l}$, and it holds for all theheavy-heavy systems. Moreover, the expression of $\beta_x$ [Eq. (11)] explainsits variation with the change of the constituents' masses.

Regge trajectory relation for the universal description of the heavy-heavy systems: diquarks, mesons, baryons and tetraquarks