Multichannel calculation of excited vector $\phi$ resonances and the $\phi(2170)$

Understand

A multichannel calculation of excited $J^{PC}=1^{--}$ $\phi$ states is carried out within a generalization of the Resonance-Spectrum Expansion, which may shed light on the classification of the $\phi(2170)$ resonance, discovered by BABAR and originally denoted X(2175).

• In this framework, a complete spectrum of bare $s\bar{s}$ states is coupled to those OZI-allowed decay channels that should be most relevant for the considered energy range.
• The included $S$- and $P$-wave two-meson channels comprise the lowest pseudoscalar, vector, scalar, and axial-vector mesons, while in the $q\bar{q}$ sector both the $^{3}S_1$ and $^{3}D_1$ states are coupled.
• The only two free parameters are tuned so as to reproduce mass and width of the $\phi(1020)$, but come out reasonably close to previously used values.