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The K^*_0(800) scalar resonance from Roy-Steiner representations of pi K scattering
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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.
Forward citations
Cited by 2 Pith papers
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Revisiting Roy-Steiner-equation analysis of pion-kaon scattering from lattice QCD data
A Roy-Steiner dispersive analysis of lattice QCD pion-kaon data at m_pi = 391 MeV finds the κ resonance at (966-i198) MeV, a broad resonance rather than the virtual-state pole reported in K-matrix analyses.
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Lattice QCD study of the $K^*(892)$ resonance at the physical point
Lattice QCD yields the K*(892) resonance pole at physical pion mass and continuum limit as 883(22) - i20(13) MeV, in agreement with experiment.
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