Predictions of duality for the charmed meson masses

Abstract

The constraints of duality via FESR's are applied to the processes P+P→P+V, using particles with a new quantum number (charm) as both external and internal (resonance saturation) states. The results are independent of any detailed dynamics or symmetry schemes, as well as independent of coupling strengths. We use the masses of the recently-discovered D and D ∗ to set the scale. We predict m D ∗∗ = 2372 ± 39 MeV , m F = 1938 ± 33 MeV, m F ∗∗ = 2500 ± 40 MeV . Thus slopes of Regge trajectories for charmed mesons are predicted to be substantially smaller than those for ordinary mesons.