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

Abstract : 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_0 = 658 \pm 13 MeV and Gamma_0 = 557 \pm 24 MeV.
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https://hal.archives-ouvertes.fr/hal-00085573
Contributor : Sébastien Descotes-Genon <>
Submitted on : Thursday, July 13, 2006 - 7:19:06 AM
Last modification on : Monday, June 29, 2020 - 6:24:22 PM

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S. Descotes-Genon, B. Moussallam. The K^*_0(800) scalar resonance from Roy-Steiner representations of pi K scattering. European Physical Journal C: Particles and Fields, Springer Verlag (Germany), 2006, 48, pp.553-560. ⟨10.1140/epjc/s10052-006-0036-2⟩. ⟨hal-00085573⟩

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