Structure of the meson Regge trajectories

Abstract

We investigate the structure of the meson Regge trajectories based on the quadratic form of the spinless Salpeter-type equation. It is found that the forms of the Regge trajectories depend on the energy region. As the employed Regge trajectory formula does not match the energy region, the fitted parameters neither have explicit physical meanings nor obey the constraints although the fitted Regge trajectory can give the satisfactory predictions if the employed formula is appropriate mathematically. Moreover, the consistency of the Regge trajectories obtained from different approaches is discussed. And the Regge trajectories for different mesons are presented. Finally, we show that the masses of the constituents will come into the slope and explain why the slopes of the fitted linear Regge trajectories vary with different kinds of mesons.

Incorporation of heavy-quark mass into soft-wall holographic models

“…For instance, the SW description of the experimental spectra of heavy quarkonia was addressed only in a few papers [8][9][10][11][12][13][14][15][16]. Perhaps an underlying reason is that the spectrum of excited light mesons has a clear expected pattern in the first approximation a linear Regge form (see, e.g., discussions in [17][18][19][20][21][22][23][24][25] and references therein). One can easily identify a 5D background that reproduces this form of spectrum, which is the quadratic exponential background of Refs.…”