No abstract

Under the assumption that both light and heavy quarkonia populate approximately linear Regge trajectories with the requirements of additivity of intercepts and inverse slopes, the masses of different meson multiplets are estimated. The predictions derived from the quasi-linear Regge trajectories are in reasonable agreement with those given by many other references. * † Mailing address 1 The investigation of the meson spectrum is of great importance for better understanding the dynamics of the strong interactions, since the mesons are the ideal laboratory for the study of strong interactions in the strongly coupled non-perturbative regime [1]. According to the recent issue of Review of Particle Physics[2], there are many mesons so far absent from the Meson Summary Table, therefore, for the sake of the completeness of meson spectrum, especially for the heavy meson spectrum, there are still a lot of work to be done both theoretically and experimentally.Regge theory is concerned with the particle spectrum, the forces between particles, and the high energy behavior of scattering amplitudes [3]. One of the most distinctive features of Regge theory is the Regge trajectory by which the mass and the spin of a hadron are related.Knowledge of the Regge trajectories is useful not only for spectral purpose, but also for many non-spectral purpose. The intercepts and slopes of the Regge trajectories are of fundamental importance in hadron physics [4].To a large extent, our knowledge of meson spectrum is based on some phenomenological QCD motivated models. A series of recent papers by Anisovich et al. [5] show that meson states fit to the quasi-linear Regge trajectories with sufficiently good accuracy, although some suggestions that the realistic Regge trajectories could be nonlinear exist [6,7].In the analysis of Ref.[5], the Regge trajectories for heavy mesons were not concerned. In the analysis of Refs. [8,9], the mass relation for heavy mesons was investigated in the quasi-linear Regge trajectory ansatz with the simplification that the Regge slopes in the light quark sector are the same for all the meson multiplets. With the help of the rich available experimental data, in the present work, we shall extract the parameters of the quasi-linear Regge trajectories for both light and heavy meson states, and estimate the masses of the states lying on these Regge trajectories. In our consideration, we don't constrain that the Regge slope is flavorindependent, and we shall adopt the argument adopted by Ref.[5] that the state with spin J and its partners with the same quantum numbers but spin J + 2, J + 4, · · ·, rather than both J P C and (J + 1) −P,−C states, populate a common quasi-linear Regge trajectory. The suggestion [9] 2 that the Regge trajectories are not linear but rather have curvatures in the region of lower spin may be relevant to the usual assignment that both J P C and (J + 1) −P,−C states belong to a common linear Regge trajectory. In fact, based on this assignment, if one tries to fit the π (0 −+ ) to the linear tra...