Relativistic chiral SU(3) symmetry, large N_c sum rules and meson-baryon scattering

Abstract

The relativistic chiral SU(3) Lagrangian is used to describe kaon-nucleon scattering imposing constraints from the pion-nucleon sector and the axial-vector coupling constants of the baryon octet states. We solve the covariant coupled-channel Bethe-Salpeter equation with the interaction kernel truncated at chiral order Q^3 where we include only those terms which are leading in the large N_c limit of QCD. The baryon decuplet states are an important explicit ingredient in our scheme, because together with the baryon octet states they form the large N_c baryon ground states of QCD. Part of our technical developments is a minimal chiral subtraction scheme within dimensional regularization, which leads to a manifest realization of the covariant chiral counting rules. All SU(3) symmetry-breaking effects are well controlled by the combined chiral and large N_c expansion, but still found to play a crucial role in understanding the empirical data. We achieve an excellent description of the data set typically up to laboratory momenta of p_lab about 500 MeV.

131 pages, 14 figures

References in corpus (1)

• Pion-Lambda-Sigma Coupling Extracted from Hyperonic Atoms

Cited by in corpus (282)

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• The properties of D and D* mesons in the nuclear medium
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• Photoproduction of eta meson within a coupled-channels K-matrix approach
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• Anomalous enhancement of the isospin-violating $\Lambda (1405)$ production by a triangle singularity in ${\Lambda }_c\to {\pi }^{+}{\pi }^0{\pi }^0{\Sigma }^0$
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• New insights into the pole parameters of the $\Lambda (1380)$, the $\Lambda (1405)$ and the $\Sigma (1385)$
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• Axial-vector form factors of the baryon octet and chiral symmetry
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• Kaon-nucleon scattering to one-loop order in heavy baryon chiral perturbation theory
• $\Lambda$ and $\Sigma$ Excitations and the Quark Model
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• On kinematical constraints in fermion-antifermion systems
• Structure of the $\mathbf{\Lambda }(1670)$ resonance
• In-medium Properties of Hadrons -- Observables
• Chiral symmetry and strangeness at SIS energies
• Low-energy constants in the chiral Lagrangian with baryon octet and decuplet fields from Lattice QCD data on CLS ensembles
• Pole trajectories of the $\Lambda (1405)$ helps establish its dynamical nature
• Combined large-$N_c$ and heavy-quark operator analysis of 2-body meson-baryon counterterms in the chiral Lagrangian with charmed mesons
• Structure of Lambda(1405) and chiral dynamics
• Effects of Final State Interactions on Landau Singularities
• Recent developments in antikaon-nucleon dynamics
• On Some properties of Di-hadronic states
• Low energy reaction $K^{-}p\to \Lambda \eta$ and the negative parity $\Lambda$ resonances
• Study of $K^{-}$ absorption at rest in nuclei followed by $p\Lambda$ emission
• Catalytic phi meson production in heavy-ion collisions
• Complete Relativistic Description of the N*(1520)
• The K^- αscattering length and the reaction dd \to αK^+ K^-
• Quantum interferences in the $\gamma N\to e^{+}{e}^{-}N$ reaction close to the vector meson production threshold
• Electromagnetic Interactions in a Chiral Effective Lagrangian for Nuclei
• Charmed baryon resonances with heavy-quark symmetry
• Meson-baryon nature of Lambda(1405) in chiral dynamics
• Complete Strangeness Measurements in Heavy-Ion Collisions
• Low-energy axial-vector transitions from decuplet to octet baryons
• On kinematical constraints in the hadrogenesis conjecture for the baryon resonance spectrum
• $K^{\ast 0}$ and ${\Sigma }^{\ast }$ production in Au+Au collisions at $\sqrt{s_{NN}}=$ 200 GeV and 62.4 GeV
• KN scattering amplitude revisited in a chiral unitary approach and a possible broad resonance in S=+1 channel
• On coupled-channel dynamics in the presence of anomalous thresholds
• The Adler-Weisberger and Goldberger-Miyazawa-Oehme sum rules as probes of constraints from analyticity and chiral symmetry in dynamical models for pion-nucleon scattering
• The $\Lambda (1405)$ in resummed chiral effective field theory
• Meson-baryon scattering in resummed baryon chiral perturbation theory using time-ordered perturbation theory
• Charge-conjugation asymmetry and molecular content: the $D_{s0}^{\ast }(2317{)}^{\pm }$ in matter
• K^- ^3He and K^+K^- interactions in the pd -> ^3He K^+K^- reaction
• Large-N_c sum rules for charmed baryons at subleading orders
• Quark model study of the $\pi N\to \pi N$ reactions up to the $N(1440)$ resonance region
• Proposal and theoretical formalism for studying baryon radiative decays from J/ψ\to B^*\bar B + \bar{B^*}B \to γB\bar B
• What We Know About the Lambda(1405)
• Baryon polarization in low-energy unpolarized meson-baryon scattering
• Pion-nucleon amplitude near threshold: the sigma-term and scattering lengths beyond few loops
• $\bar{K}\bar{D}N$ molecular state as a "$uuds\bar{c}$ pentaquark" in a three-body calculation
• Chiral Analysis of the Nucleon Mass and Sigma Commutator
• The chiral Lagrangian with three flavors and large-Nc sum rules
• $\Lambda (1405)$ mediated triangle singularity in the $K^{-}d\to p{\Sigma }^{-}$ reaction
• Two, three, many body systems involving mesons
• Construction of KbarN potential and structure of Lambda(1405) based on chiral unitary approach
• The Baryon-Baryon Interaction in the Large-$N_c$ Limit
• Dynamically generated hidden-charm baryon resonances
• Constraints from a large-N_c analysis on meson-baryon interactions at chiral order Q^3
• Dense Hadronic Matter in Neutron Stars
• Hadrons in Medium
• The odd-parity strange baryons $\Sigma ({\frac{1}{2}}^{-})$ below 1.8 GeV with Hamiltonian effective field theory
• Self-consistent antikaon dynamics in isospin-asymmetric nuclear medium
• Quark-mass dependence of baryon resonances
• Polarized $p{K}^{-}$ scattering in Unitary Baryon Chiral Perturbation Theory
• $K^{-}d\to \pi \Lambda N$ reaction for studying charge symmetry breaking in the $\Lambda N$ interaction
• Electric Mean Squared Radii of Lambda(1405) in Chiral Dynamics
• Determining Compositeness of Hadronic Resonances: the $\Lambda (1405)$ Radiative Decay and the $a_0(980)$-$f_0(980)$ Mixing
• The structure of N(1535) in the aspect of chiral symmetry
• Dynamics of strong and radiative decays of Ds mesons
• Further Theoretical Analysis on the $K^{-}{}^3\text{He}\to \Lambda pn$ Reaction for the $\bar{K}NN$ Bound-State Search in the J-PARC E15 Experiment
• Antikaon-nucleon dynamics and its application to few-body systems
• Chiral excitations of open-beauty systems
• $K^{-}d\to \pi \Lambda N$ reaction with in-flight kaons for studying the $\Lambda N$ interaction
• Dynamics of strong and radiative decays of Ds-mesons in the hadrogenesis conjecture
• Interactions of the Pseudoscalar Meson Octet and the Baryon Decuplet in the Continuum and a Finite Volume
• Search for the low-lying excited baryon ${\Sigma }^{\ast }(1/2^{-})$ through process ${\Lambda }_c^{+}\to \Lambda K^0{\pi }^{+}$
• Photo- and Electron-Production of Mesons on Nucleons and Nuclei
• Resonances in chiral unitary approaches
• Effective Kbar N interaction with strong pi Sigma dynamics constrained by chiral SU(3) symmetry
• S=--1 Meson-Baryon Scattering in Coupled Channel Unitarized Chiral Perturbation Theory
• Chiral dynamics and baryon resonances
• Charming Baryons
• Chiral SU(3) Bethe Salpeter Model: Extension to SU(6) and SU(8) Spin-Flavor Symmetries
• Strangeness production at finite temperature and baryon density in an effective relativistic mean field model
• The $\Lambda (1405)$ resonance as a genuine three-quark or molecular state
• Strange mesons in nuclei and neutron stars
• Study of the $\Sigma$(1385) and $\Lambda$(1405) resonances in K${}^{+}$ photoproduction processes
• The axial-vector form factor of the nucleon in a finite box