Abstract

In this work, we consider a nonquadratic dilaton Phi(z) = (kappa z)(2-a) in the context of the static soft wall model to describe the mass spectrum of a wide range of vector mesons from the light up to the heavy sectors. The effect of this nonquadratic approach is translated into nonlinear Regge trajectories with the generic form M-2 = a(n + b)(nu). We apply this sort of fits for the isovector states of omega, phi, J/psi, and Upsilon mesons and compare with the corresponding holographic duals. We also extend these ideas to the heavy-light sector by using the isovector set of parameters to extrapolate the proper values of kappa and alpha through the average constituent mass (m) over bar for each mesonic specie considered. In the same direction, we address the description of possible non-q (q) over bar candidates using (m) over bar as a holographic threshold, associated with the structure of the exotic state, to define the values of kappa and alpha. We study the pi(1) mesons in the light sector and the Z(c), Y, and Z(b) mesons in the heavy sector as possible exotic vector states. Finally, the RMS error for describing these twenty-seven states with fifteen parameters (four values for kappa and alpha respectively and seven values for (m) over bar) is 12.61%.