We analyze light vector and scalar meson mass spectra using a novel approach where a modified soft wall model with a UV cutoff is considered. Including this cutoff introduces an extra energy scale. For this model, we found that the masses for the scalar and vector spectra are well fitted within a very small root mean square (RMS) error for 14 of these states, with nonlinear trajectories given by two common parameters, the UV locus ${z}_{0}$, and the quadratic dilaton profile slope $\ensuremath{\kappa}$. We concluded that in this model the ${f}_{0}(500)$ scalar resonance cannot be fitted holographically as a $q\overline{q}$ state since we could not find a trajectory that included this pole. This result is in agreement with the most recent phenomenological and theoretical methods.
Tópico:
Particle physics theoretical and experimental studies