Abstract
An existence of the scalar meson f0(500) is unambiguously confirmed by the pion scalar form factor analysis. The same is concerned also of the f0(980) scalar meson, though it is placed on the tail of the elastic region to be investigated in the analysis under consideration, therefore with less precise parameters values.
Highlights
In contrast to other S U(3) known multiplets of hadrons, the identification of the scalar mesons nonet [1] is long-standing puzzle
It is even more concerned of the lowest of them, the sigma-meson [2] [3], to be called f0(500) resonance. In this presentation first of all we demonstrate an existence of the f0(500) by a pion scalar form factor (FF) analysis. With this aim we construct an explicit form of the pion scalar FF by using its phase representation and the best description of the S-wave iso-scalar ππ phase shift data by the parametrization in the absolute valued of the pion c.m. three-momentum q to be found starting from fully general considerations
Investigating poles of the latter function, one finds that −q3 and −q2 on the second Riemann sheet in t-variable correspond to f0(500) and f0(980) scalar meson resonances with the masses and widths mf0(500) = (360 ± 33)MeV, Γf0(500) = (587 ± 85)MeV, mf0(980) = (957 ± 72)MeV, Γf0(980) = (164 ± 142)MeV, where the errors correspond to the transferred errors of the coefficients A1, ...A5
Summary
In contrast to other S U(3) known multiplets of hadrons, the identification of the scalar mesons nonet [1] is long-standing puzzle. It is even more concerned of the lowest of them, the sigma-meson [2] [3], to be called f0(500) resonance. In this presentation first of all we demonstrate an existence of the f0(500) by a pion scalar form factor (FF) analysis. With this aim we construct an explicit form of the pion scalar FF by using its phase representation and the best description of the S-wave iso-scalar ππ phase shift data by the parametrization in the absolute valued of the pion c.m. three-momentum q to be found starting from fully general considerations
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