The $f_2$- and $ρ_3$-mesons in multi-channel pion-pion scattering

In a multi-channel $S$-matrix approach, data on $ππ\toππ,K\bar{K},ηη$ in the $I^GJ^{PC}=0^+2^{++}$ sector and $ππ$ scattering in the $1^+3^{--}$ sector are analyzed to study the $f_2$- and $ρ_3$-mesons, respectively. Spectroscopic implications and possible classification of the $f_2$-states in terms of the SU(3) multiplets are also discussed.

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