Научно-исследовательский институт ядерной физики имени Д.В. Скобельцына
Московского государственного университета имени М.В. Ломоносова

An empirical principle for the construction of a linear relationship
between the total angular momentum and squared-mass of baryons is
proposed. In order to examine linearity of the trajectories, a rigorous
least-squares regression analysis was performed. Unlike the standard
Regge-Chew-Frautschi approach, the constructed trajectories do not have
non-linear behaviour. A similar regularity may exist for lowest-mass
mesons. The linear baryonic trajectories are well described by a
semi-classical picture based on a spinning relativistic string with
tension. The obtained numerical solution of this model was used to
extract the (di)quark masses.