The K^*_0(800) scalar resonance from Roy-Steiner representations of pi K scattering

Details The K^*_0(800) scalar resonance from Roy-Steiner representations of pi K scattering The K^*_0(800) scalar resonance from Roy-Steiner representations of pi K scattering

2006-07-12

arxiv.org/abs/hep-ph/0607133v2

Eur.Phys.J.C48:553,2006

Physics

High Energy Physics

High Energy Physics - Phenomenology

16 pages, 8 figures. Domain of validity of a Roy-Steiner representation corrected and enlarged, and features of the K^*_0(800)

Scientific paper

10.1140/epjc/s10052-006-0036-2

We discuss the existence of the light scalar meson K^*_0(800) (also called kappa) in a rigorous way, by showing the presence of a pole in the pi K --> pi K amplitude on the second Riemann sheet. For this purpose, we study the domain of validity of two classes of Roy-Steiner representations in the complex energy plane. We prove that one of them is valid in a region sufficiently broad in the imaginary direction. From this representation, we compute the l=0 partial wave in the complex plane with neither additional approximation nor model dependence, relying only on experimental data. A scalar resonance with strangeness S=1 is found with the following mass and width: E_kappa = 658 \pm 13 MeV and Gamma_kappa = 557 \pm 24 MeV.

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