Baryonic Resonances from Baryon Decuplet-Meson Octet Interaction

Abstract

We study $S$-wave interactions of the baryon decuplet with the octet of pseudoscalar mesons using the lowest order chiral Lagrangian. In the S=1 sector, we find an attractive interaction in the $\Delta K$ channel with I=1 while it is repulsive for I=2. The attractive interaction leads to a pole in the second Riemann sheet of the complex plane and is manifested as a large strength in the scattering amplitude close to the $\Delta K$ threshold, which is not the case for I=2. We use the unitarized coupled channel approach to also investigate all the other possible values of strangeness and isospin. We find two bound states in the SU(3) limit corresponding to the octet and decuplet representations. These are found to split into eight different trajectories in the complex plane when the SU(3) symmetry is broken gradually. Finally, we are able to provide a reasonable description for a good number of 4-star ${3/2}^{-}$ resonances listed by the Particle Data Group. In particular, the $\Xi (1820)$, the $\Lambda (1520)$ and the $\Sigma (1670)$ states are well reproduced. We predict a few other resonances and also evaluate the couplings of the observed resonances to the various channels from the residues at the poles of the scattering matrix from where partial decay widths into different channels can be evaluated.

Discussion and figures added

References in corpus (19)

• Chiral dynamics in the presence of bound states: kaon-nucleon interactions revisited
• Evidence for Narrow S=+1 Baryon Resonance in Photo-production from Neutron
• Non perturbative chiral approach to s-wave \bar{K}N interactions
• Chiral Dynamics of the Two Λ(1405) States
• Chiral Dynamics and the Low Energy Kaon-Nucleon Interaction
• Relativistic chiral SU(3) symmetry, large N_c sum rules and meson-baryon scattering
• SU(3) Chiral Dynamics with Coupled Channels: Eta and Kaon Photoproduction
• Chiral Dynamics and the $S_{11}(1535)$ Nucleon Resonance
• Heavy Baryon Chiral Perturbation Theory with Light Deltas
• Chiral unitary approach to S-wave meson baryon scattering in the strangeness S=0 sector
• Low lying S=-1 excited baryons and chiral symmetry
• On meson resonances and chiral symmetry
• Quark mass dependence of s-wave baryon resonances
• $S=-1$ Meson-Baryon Unitarized Coupled Channel Chiral Perturbation Theory and the $S_{01}-$ $\Lambda$(1405) and $-\Lambda$(1670) Resonances
• On baryon resonances and chiral symmetry
• On the spin, parity and nature of the $\Xi (1620)$ resonance
• Chiral approach to the rho meson in nuclear matter
• Chiral Unitary Approach To The N*N*pi, N*N*eta Couplings For The N*(1535) Resonance
• Covariant meson-baryon scattering with chiral and large N_c constraints

Cited by in corpus (112)

• Baryons as relativistic three-quark bound states
• The nature of the Lambda(1405) resonance in chiral dynamics
• Threshold cusps and triangle singularities in hadronic reactions
• Dynamically generated $N^{\ast }$ and ${\Lambda }^{\ast }$ resonances in the hidden charm sector around 4.3 GeV
• Progress Toward Understanding Baryon Resonances
• Low lying axial-vector mesons as dynamically generated resonances
• Chiral perturbation theory for heavy hadrons and chiral effective field theory for heavy hadronic molecules
• Vector meson-vector meson interaction in a hidden gauge unitary approach
• Dynamically generated resonances from the vector octet-baryon octet interaction
• Sigma_c Dbar and Lambda_c Dbar states in a chiral quark model
• The ρρinteraction in the hidden gauge formalism and the f_0(1370) and f_2(1270) resonances
• Origin of resonances in the chiral unitary approach
• Analytic properties of the scattering amplitude and resonances parameters in a meson exchange model
• The s-wave charmed baryon resonances from a coupled-channel approach with heavy quark symmetry
• Odd Parity Light Baryon Resonances
• Chiral dynamics in the gamma p --> pi^0 eta p and gamma p --> pi^0 K^0 Sigma^+ reactions
• SU(6) Extension of the Weinberg-Tomozawa Meson-Baryon Lagrangian
• Baryon states with open beauty in the extended local hidden gauge approach
• Dynamically generated open charmed baryons beyond the zero range approximation
• Effects of pseudoscalar-baryon channels in the dynamically generated vector-baryon resonances
• Pion photoproduction in a dynamical coupled-channels model
• Dynamically generated resonances from the vector octet-baryon decuplet interaction
• Baryon states with open charm in the extended local hidden gauge approach
• Unitary coupled channel analysis of the $\Lambda (1520)$ resonance
• Photon induced Lambda(1520) production and the role of the K^* exchange
• D-wave baryon resonances with charm from coupled-channel dynamics
• Photoproduction of pi^0 eta on protons and the Delta(1700)D_{33} resonance
• Nucleon resonances $N(1875)$ and $N(2100)$ as strange partners of LHCb pentaquarks
• Transition form factors of the N*(1535) as a dynamically generated resonance
• $\Xi$ baryon strong decays in a chiral quark model
• A hidden-charm pentaquark state in ${\Lambda }_b^0\to J/\psi p{\pi }^{-}$ decay
• Low-lying even parity meson resonances and spin-flavor symmetry
• An explanation of the ${\Delta }_{5/2^{-}}(1930)$ as a $\rho \Delta$ bound state
• On the nature of the lowest $1/2^{-}$ baryon nonet and decuplet
• Study of exotic hadrons in S-wave scatterings induced by chiral interaction in the flavor symmetric limit
• The phase and pole structure of the N*(1535) in piN-->piN and gammaN-->piN
• Strong decays of baryons and missing resonances
• The role of ${\Delta }^{++\ast }(1620)$ resonances in $pp\to n{K}^{+}{\Sigma }^{+}$ reaction and its important implications
• The $\Omega (2012)$ as a hadronic molecule
• Low-lying Lambda Baryons from the Lattice
• Information on the structure of the a1 from tau decay
• Hadronic molecular assignment for the newly observed ${\Omega }^{\ast }$ state
• Strong decay modes $\bar{K}\Xi$ and $\bar{K}\Xi \pi$ of the $\Omega (2012)$ in the $\bar{K}\Xi (1530)$ and $\eta \Omega$ molecular scenario
• Radiative decay of the Lambda(1520)
• Molecular picture for the $\Omega (2012)$ revisited
• Clues to the nature of the Delta^*(1700) resonance from pion- and photon-induced reactions
• Open charm meson in nuclear matter at finite temperature beyond the zero range approximation
• Revisiting the $\Omega (2012)$ as a hadronic molecule and its strong decays
• Plausible explanation of the ${\Delta }_{5/2^{+}}(2000)$ puzzle
• $\Omega (2012)$ through the looking glass of flavour SU(3)
• The $T_{c\bar{s}}(2900)$ as a threshold effect from the interaction of the $D^{\ast }{K}^{\ast }$, $D_s^{\ast }\rho$ channels
• Theoretical study of the $\Omega (2012)$ state in the ${\Omega }_c^0\to {\pi }^{+}\Omega (2012{)}^{-}\to {\pi }^{+}(\bar{K}\Xi {)}^{-}$ and ${\pi }^{+}(\bar{K}\Xi \pi {)}^{-}$ decays
• Radiative decay of the Delta(1700)
• Chiral coupled channel dynamics of the Lambda(1520) and the K-P -> pi0 pi0 Lambda reaction
• Abnormal isospin violation and $a_0-f_0$ mixing in the $D_s^{+}\to {\pi }^{+}{\pi }^0{a}_0(980)(f_0(980))$ reactions
• Role of a triangle singularity in the $\pi N(1535)$ contribution to $\gamma p\to p{\pi }^0\eta$
• Helicity Amplitudes of the Lambda(1670) and two Lambda(1405) as dynamically generated resonances
• Exotic hadrons in s-wave chiral dynamics
• Isobar model analysis of pi0-eta photoproduction on protons
• Evaluation of the polarization observables I^S and I^C in the reaction gamma p --> pi^0 eta p
• Spectrum of low-lying $s^{3}Q\bar{Q}$ configurations with negative parity
• Coupling of \bar K*N to the Lambda(1520)
• Interpretation of the ${\Omega }_c\to {\pi }^{+}\Omega (2012)\to {\pi }^{+}(\bar{K}\Xi )$ relative to ${\Omega }_c\to {\pi }^{+}\bar{K}\Xi$ from the $\Omega (2012)$ molecular perspective
• $\Lambda (1520)$ and $\Sigma (1385)$ in the nuclear medium
• Can $\Omega (2012)$ be explained as a molecular state?
• Strong decays of the hadronic molecule ${\Omega }^{\ast }(2012)$
• The rho meson in a scenario of pure chiral restoration
• Medium effects on the electrical and Hall conductivities of a hot and magnetized pion gas
• Tau decay and the structure of the a1
• Triangle mechanisms in the build up and decay of the $N^{\ast }(1875)$
• The composite nature of the $\Lambda (1520)$ resonance
• Are there three Xi(1950) states?
• The ${\Xi }^{\ast }\bar{K}$ and $\Omega \eta$ interaction within a chiral unitary approach
• Testing the nature of the $\Lambda (1520)$ resonance in proton-induced production
• Medium effects on the relaxation of dissipative flows in a hot pion gas
• Analysis of $\Omega (2012)$ as a molecule in the chiral quark model
• Correlations of $\mathbf{\pi N}$ Partial Waves for Multi-Reaction Analyses
• The s-wave pion-nucleus optical potential
• $\rho$ self energy at finite temperature and density in the real-time formalism
• Analysis of angular distributions in gamma N \to pi0 eta N
• Medium effects on the electrical conductivity of a hot pion gas
• How and when can one identify hadronic molecules in the baryon spectrum
• $A$ dependence of the $\gamma$- and $p$-induced production of the $\Lambda (1520)$ from nuclei
• Spin-3/2 pentaquark in the QCD sum rule
• 70 Years of Hyperon Spectroscopy: A review of strange $\Xi$, $\Omega$ baryons, and the spectrum of charmed and bottom baryons
• Chiral dynamics of baryon resonances and hadrons in a nuclear medium
• In-medium vector mesons and low mass lepton pairs from heavy ion collisions
• Eta Photoproduction as a Test of the Extended Chiral Symmetry
• Chiral Unitary Dynamics of Hadrons and Hadrons in a Nuclear Medium
• The $\varphi p$ bound state in the unitary coupled-channel approximation
• Resonances and the Weinberg--Tomozawa 56-baryon --35-meson interaction
• Analysis of $\omega$ self-energy at finite temperature and density in the real-time formalism
• Study of a possible S=+1 dynamically generated baryonic resonance
• rho-rho-N and rho-rho-Delta molecules with $J^P=5/2^{+}$ and $J^P=7/2^{+}$
• Baryon Resonances
• Possible quantum numbers of the pentaquark Θ^+(1540) in QCD sum rules
• Dynamically Generated Resonances in the Chiral Unitary Approach to Meson Baryon Interaction
• Review on dynamically generated resonances
• Theoretical study of the $\gamma d\to {\pi }^0\eta d$ reaction
• Testing the nature of the $\Lambda$(1520) in the $J/\psi \to \bar{\Lambda }{K}^{-}p$ and $J/\psi \to \bar{\Lambda }{\pi }^{+}{\pi }^{-}\Lambda$ reactions
• Dynamically generated resonances
• Polarized $p{K}^{-}$ scattering in Unitary Baryon Chiral Perturbation Theory
• Radiative decays of the $\Omega (2012)$ as a hadronic molecule
• Baryonic Resonances from Baryon Decuplet-Meson Octet Interactions and the Exotic Resonance S=1, I=1, J^P=3/2-
• Photo- and Electron-Production of Mesons on Nucleons and Nuclei
• Resonances from Baryon decuplet-Meson octet interaction
• Interactions of the Pseudoscalar Meson Octet and the Baryon Decuplet in the Continuum and a Finite Volume
• Recent developments in chiral dynamics of hadrons and hadrons in a nuclear medium
• Chiral SU(3) Bethe Salpeter Model: Extension to SU(6) and SU(8) Spin-Flavor Symmetries
• Recent Developments in Chiral Unitary Dynamics of Resonances
• The dynamically generated $h_1$ state by the $K^{\ast }{\bar{K}}^{\ast }$ interaction and its $K_1(1270)\bar{K}$ and $b_1(1235)\pi$ decays
• Selected topics on Hadrons in Nuclei