A study of the vector meson $\psi (4040)$

Abstract

We investigate the well-known $c\bar{c}$ vector state $\psi (4040)$ in the framework of a quantum field theoretical model. In particular, we study its spectral function and search for the pole(s) in the complex plane. Quite interestingly, the spectral function has a non-standard shape and two poles are present. The role of the meson-meson quantum loops (in particular $D{D}^{\ast }$ ones) is crucial and could also explain the not yet confirmed state $Y(4008)$.

Comments: 3 pages, 1 figure. Prepared for the proceedings of MESON 2018, 15th International Workshop on Meson Physics, KRAKÓW, POLAND, 7th - 12th June 2018