The $\kappa$ resonance in s wave $\pi K$ scatterings

Abstract

A new unitarization approach incorporated with chiral symmetry is established and applied to study the $\pi K$ elastic scatterings. We demonstrate that the $\kappa$ resonance exists, if the scattering length parameter in the I=1/2, J=0 channel does not deviate much from its value predicted by chiral perturbation theory. The mass and width of the $\kappa$ resonance is found to be $M_{\kappa }=594\pm 79MeV$, ${\Gamma }_{\kappa }=724\pm 332MeV$, obtained by fitting the LASS data up to 1430MeV. Better determination to the pole parameters is possible if the chiral predictions on scattering lengths are taken into account.

arXiv commentMinor corrections made on discussions and typos. 1 ref. added version to appear in Nuclear Physics A

References in corpus (14)

• Chiral Unitary approach to meson-meson and meson-baryon interactions and nuclear applications
• A low-lying scalar meson nonet in a unitarized meson model
• UNDERSTANDING THE SCALAR MESON $q\bar{q}$ NONET
• The inverse amplitude method in Chiral Perturbation Theory
• Dalitz Plot Analysis of the Decay D^+ --> K^- pi^+ pi^+ and Indication of a Low-Mass Scalar K pi Resonance
• S-wave Kpi scattering in chiral perturbation theory with resonances
• Evidence for a scalar kappa(900) resonance in pi-K scattering
• Analysis of Kπ-scattering phase shift and existence of κ(900)-particle
• K-matrix analysis of the K-pi S-wave in the mass region 900-2100 Mev and nonet classification of scalar qqbar-states
• Left Hand Singularities, Hadron Form Factors and the Properties of the Sigma Meson
• There is no $\kappa (900)$
• The [1,2] Padé Amplitudes for $\pi \pi$ Scatterings in Chiral Perturbation Theory
• The Constraints of Unitary on $\pi \pi$ Scattering Dispersion Relations
• Further remarks on $\pi \pi$ scattering dispersion relations

Cited by in corpus (69)

• Glueballs, Hybrids, Multiquarks. Experimental facts versus QCD inspired concepts
• Charmless hadronic B decays involving scalar mesons: Implications to the nature of light scalar mesons
• The K^*_0(800) scalar resonance from Roy-Steiner representations of pi K scattering
• Resonances from meson-meson scattering in U(3) CHPT
• Evidence for kappa Meson Production in J/psi -> bar{K}^*(892)^0K^+pi^- Process
• Determination of spin and parity of the $Z_c(3900)$
• The $\sigma$ pole in $J/\psi \to \omega {\pi }^{+}{\pi }^{-}$
• Chiral dynamics in form factors, spectral-function sum rules, meson-meson scattering and semilocal duality
• Finite volume effects in pion-kaon scattering and reconstruction of the kappa(800) resonance
• The pole structure of the unitary, crossing symmetric low energy $\pi \pi$ scattering amplitudes
• Evidence of psi(3770) non-DD-bar Decay to J/psi pi+pi-
• A Review on Partial-wave Dynamics with Chiral Effective Field Theory and Dispersion Relation
• The quark-mass dependence of elastic $\pi K$ scattering from QCD
• S wave Kπscattering and effects of κin J/ψ\to {\bar K}^{*0}(892)K^+π^-
• An improved study of the kappa resonance and the non-exotic $s$ wave $\pi K$ scatterings up to $\sqrt{s}=2.1$GeV of LASS data
• Chiral study of the $a_0(980)$ resonance and $\pi \eta$ scattering phase shifts in light of a recent lattice simulation
• $\pi \pi \to K\bar{K}$ scattering up to 1.47 GeV with hyperbolic dispersion relations
• Production of $\sigma$ in $\psi (2S)\to {\pi }^{+}{\pi }^{-}J/\psi$
• The kappa in E791 data for D->K-pi-pi
• Scalar kappa meson in K* photoproduction
• Partial waves and large $N_C$ resonance sum rules
• $K_0^{\ast }(800)$ as a companion pole of $K_0^{\ast }(1430)$
• Observation of charged kappa in J/psi -> K*(892)-+Kspi+-, K*(892)-+ -> Kspi-+ at BESII
• Strange resonance poles from $K\pi$ scattering below 1.8 GeV
• Dispersive $\pi K\to \pi K$ and $\pi \pi \to K\bar{K}$ amplitudes from scattering data, threshold parameters and the lightest strange resonance $\kappa$ or $K_0^{\ast }(700)$
• A Dispersive Analysis on the $f_0(600)$ and $f_0(980)$ Resonances in $\gamma \gamma \to {\pi }^{+}{\pi }^{-},{\pi }^0{\pi }^0$ Processes
• Classification of the scalar mesons: a strange pole expedition into charm and beauty territory
• The origin of light $0^{+}$ scalar resonances
• Lattice study on kaon pion scattering length in the $I=3/2$ channel
• Virtual states and generalized completeness relation in the Friedrichs Model
• $O(p^6)$ extension of the large--$N_C$ partial wave dispersion relations
• Pole Analysis of Unitarized One Loop $\chi$PT Amplitudes - A Triple Channel Study
• Is the $f_0(600)$ meson a dynamically generated resonance? -- a lesson learned from the O(N) model and beyond
• On Friedrichs Model with Two Continuum States
• New Insights on Low Energy $\pi N$ Scattering Amplitudes
• On the scalar $\pi K$ form factor beyond the elastic region
• The Kappa in J/Psi -> Kpplus-piminus-Kminus-piplus
• The preliminary lattice QCD calculation of $\kappa$ meson decay width
• Two-pole structures in a relativistic Friedrichs-Lee-QPC scheme
• On the scalar nonet in the extended Nambu Jona-Lasinio model
• Distinguishing cusp effects and near-threshold-pole effects
• Global parametrizations of $\pi \pi$ scattering with dispersive constraints: Beyond the S0 wave
• A study of charged kappa in $J/\psi \to K^{\pm }{K}_s{\pi }^{\mp }{\pi }^0$
• Subthreshold rho contribution in J/psi decay to omega pion pion and Kaon anti-Kaon pion
• A possible subthreshold pole in $S_{11}$ channel from $\pi N$ Roy-Steiner equation analyses
• Scrutinizing $\pi \pi$ scattering in light of recent lattice phase shifts
• New Insights on Low Energy $\pi N$ Scattering Amplitudes: Comprehensive Analyses at $\mathcal{O}(p^3)$ Level
• Scalar and axial-vector mesons
• Relativistic Friedrichs-Lee model and quark-pair creation model
• How does the $S_{11}$ $N^{\ast }(890)$ state emerge from a naive $K$ matrix fit?
• Dispersive Analysis of Low Energy $\gamma N\to \pi N$ Process and Studies on the $N^{\ast }(890)$ Resonance
• Chiral Nonet Mixing in $\pi K$ Scattering
• Low Lying Scalar Resonances and Chiral Symmetry
• Light scalar $K_0^{\ast }(700)$ meson in vacuum and a hot medium
• Singularities and Accumulation of Singularities of $\pi$N Scattering amplitudes
• Analyticity and the $N_c$ counting rule of $S$ matrix poles
• Lightest scalars as chiral partners of the Nambu--Goldstone bosons
• Nonperturbative scalar-meson resonances with open charm and beauty
• Revisiting $O(N)$ $\sigma$ model at unphysical pion masses and high temperatures
• A unitarity analysis on the I=0 $d$ wave $\pi \pi$ scattering amplitude
• On Lowest Lying ${\frac{1}{2}}^{-}$ Octet Baryons
• Unitarity and Unitarization
• On the pole trajectory of the subthreshold negative parity nucleon with varying pion masses
• Review on recent progress in the study of the $N^{\ast }(920)$ subthreshold singularity and the $\sigma /f_0(500)$ meson
• Dynamical generation of hadronic resonances in effective models with derivative interactions
• On the Existence of $N^{\ast }(890)$ Resonance in $S_{11}$ Channel of $\pi N$ Scatterings
• On the scalar $\pi K$ form factor beyond the elastic region
• The pole structure of low energy $\pi N$ scattering amplitudes
• Unitarity Analyses of $\pi N$ Elastic Scattering Amplitudes