Some mass relations for mesons and baryons in Regge phenomenology

In the quasilinear Regge trajectory ansatz, some useful linear mass inequalities, quadratic mass inequalities, and quadratic mass equalities are derived for mesons and baryons. Based on these relations, mass ranges of some mesons and baryons are given. The masses of (b) over barc and s (s) over bar belonging to the pseudoscalar, vector, and tensor meson multiplets are also extracted. The J(P) of the baryon Xi(+)(cc)(3520) is assigned to be 1/2(+). The parameters of the 1/2(+) and 3/2(+) SU(4) baryon trajectories are extracted and the masses of the orbital excited baryons lying on the 1/2(+) and 3/2(+) trajectories are estimated. The J(P) assignments of baryons Xi(c)(2980), Xi(c)(3055), Xi(c)(3077), Xi(c)(3123) are discussed. The predictions are in reasonable agreement with the existing experimental data and those suggested in many other different approaches. The mass relations and the predictions may be useful for the discovery of the unobserved meson and baryon states and the J(P) assignment of these states.