No indication of f0(1370) in pi pi phase shift analyses

Abstract

The scalar meson f_0(1370) - indicated in particular in the low energy p\bar p \to 3 body reactions - is a crucial element in certain schemes of the scalar meson spectroscopy including glueballs. The most definitive results can be obtained from elastic and inelastic pi pi phase shift analyses using the constraints from unitarity where the discrete ambiguities can be identified and resolved. We reconsider the phase shift analyses for pi^+ pi^- \to pi+ π-, pi^0 pi^0, K \bar K, eta eta. While a clear resonance signal for f_0(1500) in the resp. Argand diagrams is seen in all channels above a large ``background'' from f_0(600) there is no clear signal of a second resonance ``f_0(1370)'' in this mass range in any reaction, at the level of \sim 10% branching ratio into pi-pi.

arXiv comment5 pages, 3 figures. Conference on Hadron Spectroscopy (Hadron2009), Tallahassee, Florida, Nov 29 - Dec 4, 2009

Cited by in corpus (7)

• The Status of Glueballs
• Towards the glueball spectrum from unquenched lattice QCD
• Regge analysis of the pi pi scattering amplitude
• On nature of the scalar-isoscalar mesons in the uniformizing-variable method based on analyticity and unitarity
• Probing the substructure of $f_0(1370)$
• Masses and widths of scalar-isoscalar multi-channel resonances from data analysis
• Parameters of scalar resonances from the combined analysis of data on processes $\pi \pi \to \pi \pi ,K\bar{K},\eta \eta$ and $J/\psi$ decays