Comments on the Quark Content of the Scalar Meson f 0 ( 1370 )

Based on the measurements of (D+ s ,D +) → f0(1370)π we determine, in a model independent way, the allowed ss̄ content in the scalar meson f0(1370). We find that, on the one hand, if this isoscalar resonance is a pure nn̄ state [nn̄ ≡ (uū + dd̄)/ √ 2 ], a very large W -annihilation term will be needed to accommodate D+ s → f0(1370)π. On the other hand, the ss̄ component of f0(1370) should be small enough to avoid excessive D + s → f0(1370)π induced from the external W -emission. Measurement of f0(1370) production in the decay D + s → K+K−π+ will be useful to test the above picture. For the decay D0 → f0(1370)K0 which is kinematically barely or even not allowed, depending on the mass of f0(1370), we find that the finite width effect of f0(1370) plays a crucial role on the resonant three-body decay D0 → f0(1370)K0 → π+π−K.