Isf0(975) a narrow resonance?

We use a new approach to study the ππ, K K¯ I=J=0 interaction from information on the central production and elastic processes with energies from the ππ threshold to 1.7 GeV. Our amplitude analysis separates the pole term for ${\mathit{f}}_0$(975) from the background term, meanwhile enforcing unitarity. A second-sheet pole (988-23i MeV) and a third-sheet pole (797-185i MeV) are found for ${\mathit{f}}_0$(975). We conclude that if the ${\mathit{f}}_0$(975) is a Breit-Wigner resonance, it has a large decay width corresponding to its third-sheet pole, but shows up as a narrow structure in ππ and K K¯ invariant mass spectra due to its second-sheet pole. An alternative K-matrix analysis is also briefly reported, which gives a similar conclusion.