Accepted Monday Nov 02, 2009
A multichannel calculation of excited JPC=1- f states is carried out within a generalization of the Resonance-Spectrum Expansion, which may shed light on the classification of the f(2170) resonance, discovered by BABAR and originally denoted X(2175). In this framework, a complete spectrum of bare s[`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[`q] sector both the 3S1 and 3D1 states are coupled. The only two free parameters are tuned so as to reproduce mass and width of the f(1020), but come out reasonably close to previously used values. Among the model's T-matrix poles, there are good candidates for observed resonances, as well other ones that should exist according to the quark model. Besides the expected resonances as unitarized confinement states, a dynamical resonance pole is found at (2186-i246) MeV. The huge width makes its interpretation as the f(2170) somewhat dubious, but further improvements of the model may change this conclusion.