The $S_{11}-N$(1535) and $-N$(1650) Resonances in Meson-Baryon Unitarized Coupled Channel Chiral Perturbation Theory

Abstract

The $s-$wave meson-baryon scattering is analyzed for the strangeness S=0 sector in a Bethe-Salpeter coupled channel formalism incorporating Chiral Symmetry. Four channels have been considered: $\pi N$, $\eta N$, $K\Lambda$, $K\Sigma$. The needed two particle irreducible matrix amplitude is taken from lowest order Chiral Perturbation Theory in a relativistic formalism and low energy constants are fitted to the elastic $\pi N$ phase-shifts and the ${\pi }^{-}p\to \eta n$ and ${\pi }^{-}p\to K^0\Lambda$ cross section data. The position of the complex poles in the second Riemann sheet of the scattering amplitude determine masses and widths of the $S_{11}-$ $N$(1535) and $-N$(1650) resonances, in reasonable agreement with experiment. A good overall description of data, from $\pi N$ threshold up to 2 GeV, is achieved keeping in mind that the two pion production channel has not been included.

35 pages, LaTeX + 7 ps-figure files. Some minor mistakes have been corrected for and a new appendix discussing the matching to HBChPT has been also added

References in corpus (1)

• Low energy analysis of pi N --> pi N

Cited by in corpus (128)

• Properties of baryon resonances from a multichannel partial wave analysis
• Dynamically generated $N^{\ast }$ and ${\Lambda }^{\ast }$ resonances in the hidden charm sector around 4.3 GeV
• Chiral unitary approach to S-wave meson baryon scattering in the strangeness S=0 sector
• Electroexcitation of nucleon resonances from CLAS data on single pion electroproduction
• 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
• The Heavy Quark Spin Symmetry Partners of the X(3872)
• Electroexcitation of nucleon resonances
• Coupled-channel dynamics in the reactions piN --> piN, etaN, KLambda, KSigma
• Meson-baryon reactions with strangeness -1 within a chiral framework
• Heavy quark spin symmetric molecular states from ${\bar{D}}^{(\ast )}{\Sigma }_c^{(\ast )}$ and other coupled channels in the light of the recent LHCb pentaquarks
• The s-wave charmed baryon resonances from a coupled-channel approach with heavy quark symmetry
• Photoproduction of eta-mesic 3He
• Chiral dynamics of the S11(1535) and S11(1650) resonances revisited
• Scalar mesons moving in a finite volume and the role of partial wave mixing
• Comprehensive analysis of the wave function of a hadronic resonance and its compositeness
• Charmed and strange baryon resonances with heavy-quark spin symmetry
• Prediction of super-heavy $N^{\ast }$ and ${\Lambda }^{\ast }$ resonances with hidden beauty
• Chirally motivated $\bar{K}N$ amplitudes for in-medium applications
• Hidden charm N and Delta resonances with heavy-quark symmetry
• On the spin, parity and nature of the $\Xi (1620)$ resonance
• High statistics study of the reaction $\gamma p\to p{\pi }^0\eta$
• Hamiltonian effective field theory study of the ${\mathbf{N}}^{\ast }(1535)$ resonance in lattice QCD
• Couplings in coupled channels versus wave functions in the case of resonances: application to the two $\Lambda (1405)$ states
• Odd Parity Light Baryon Resonances
• Chiral dynamics in the gamma p --> pi^0 eta p and gamma p --> pi^0 K^0 Sigma^+ reactions
• Odd parity bottom-flavored baryon resonances
• SU(6) Extension of the Weinberg-Tomozawa Meson-Baryon Lagrangian
• eta in the nuclear medium within a chiral unitary approach
• Dynamically generated open charmed baryons beyond the zero range approximation
• $\eta$ bound states in nuclei
• On the cross section ratio sigma_n/sigma_p in eta photoproduction
• Magnetic moments of the Lambda(1405) and Lambda(1670) resonances
• Exotic dynamically generated baryons with negative charm quantum number
• Quarkonium Contribution to Meson Molecules
• $Z_{cs}(3985{)}^{-}$ as the $U$-spin partner of $Z_c(3900{)}^{-}$ and implication of other states in the ${\text{SU(3)}}_F$ symmetry and heavy quark symmetry
• Photon induced Lambda(1520) production and the role of the K^* exchange
• QCD and the Strange Baryon Spectrum
• D-meson propagation in hot dense matter
• The properties of D and D* mesons in the nuclear medium
• Contribution of constituent quark model $c\bar{s}$ states to the dynamics of the $D_{s0}^{\ast }(2317)$ and $D_{s1}(2460)$ resonances
• Large-Nc Properties of the rho and f0(600) Mesons from Unitary Resonance Chiral Dynamics
• Theoretical study of the Xi(1620) and Xi(1690) resonances in Xi_c -> pi^+ MB decays
• The role of the background in the extraction of resonance contributions from meson-baryon scattering
• Pion photoproduction off the proton in a gauge-invariant chiral unitary framework
• Transition form factors of the N*(1535) as a dynamically generated resonance
• Chiral dynamics of p-wave in K^- p and coupled states
• 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
• A covariant model for the gamma N -> N(1535) transition at high momentum transfer
• Role of vector and pseudoscalar mesons in understanding $1/2^{-}$ $N^{\ast }$ and $\Delta$ resonances
• Large-$N_c$ naturalness in coupled-channel meson-meson scattering
• Pion- and photo-induced transition amplitudes to $\Lambda K$, $\Sigma K$, and $N\eta$
• Is the Theta+ a K pi N bound state?
• Low-energy etaN interactions: scattering lengths and resonance parameters
• The phase and pole structure of the N*(1535) in piN-->piN and gammaN-->piN
• Meson-baryon scattering lengths in HB$\chi$PT
• Compositeness of the strange, charm and beauty odd parity $\Lambda$ states
• ${\Xi }_c$ and ${\Xi }_b$ excited states within a ${\mathrm{SU}(6)}_{\mathrm{lsf}}\times$HQSS model
• Eta-N Final State Interaction in incoherent Photoproduction of Eta-mesons from the Deuteron near Threshold
• Compositeness of baryonic resonances: Applications to the Delta(1232), N(1535), and N(1650) resonances
• Charming mesons with baryons and nuclei
• Low energy Kbar N interactions and Faddeev calculation of the K- d scattering length in isospin and particle bases
• Large Nc Weinberg-Tomozawa interaction and negative parity s--wave baryon resonances
• A combined analysis of the $Z_c(3900)$ and the $Z_{cs}(3985)$ exotic states
• Chiral unitary approach to η' N scattering at low energies
• Mixing of pseudoscalar-baryon and vector-baryon in the $J^P=1/2^{-}$ sector and the $N^{\ast }$(1535) and $N^{\ast }$(1650) resonances
• Dalitz plots and lineshape of $a_1(1260)$ from a relativistic three-body unitary approach
• Magnetic dipole moment of the S11(1535) from the γp \to γηp reaction
• Open charm meson in nuclear matter at finite temperature beyond the zero range approximation
• Finite volume effects and quark mass dependence of the N(1535) and N(1650)
• ${\Omega }_c$ excited states within a ${\mathrm{SU}(6)}_{\mathrm{lsf}}\times$HQSS model
• The role of the N*(1535) resonance and the pi^- p --> KY amplitudes in the OZI forbidden pi N --> phi N reaction
• Results from the N* program at JLab
• Eta-mesic nuclei: past, present, future
• Associated strangeness production in the pp to pK^+K^-p and pp to pK^+ pi^0 Sigma^0 reactions
• Role of the $N^{\ast }$(1535) in the $J/\psi \to \bar{p}\eta p$ and $J/\psi \to \bar{p}{K}^{+}\Lambda$ reactions
• On the nature of the lowest-lying odd parity charmed baryon ${\Lambda }_c(2595)$ and ${\Lambda }_c(2625)$ resonances
• Low-lying even parity meson resonances and spin-flavor symmetry revisited
• Chirally motivated separable potential model for $\eta N$ amplitudes
• Role of the $N^{\ast }(1535)$ in the ${\Lambda }_c^{+}\to {\bar{K}}^0\eta p$ decay
• Renormalization of the 1S0 One-Pion-Exchange NN Interaction in Presence of Derivative Contact Interactions
• Off-shell effects on the interaction of Nambu-Goldstone bosons and $D$ mesons
• New Insights on Low Energy $\pi N$ Scattering Amplitudes
• Meson Resonances at large Nc: Complex Poles vs Breit-Wigner Masses
• A chiral quark model for meson electro-production in the S11 partial wave
• Ground-state baryon masses in the perturbative chiral quark model
• Correlations of $\mathbf{\pi N}$ Partial Waves for Multi-Reaction Analyses
• Nucleon resonances in the $\gamma p\to \varphi K^{+}\Lambda$ reaction near threshold
• Production of $N^{\ast }(1535)$ and $N^{\ast }(1650)$ in ${\Lambda }_c\to {\bar{K}}^0\eta p$ $(\pi N)$ decay
• The $\rho (\omega )B^{\ast }(B)$ interaction and states of $J=0,1,2$
• Proximity of $f_0(1500)$ and $f_0(1710)$ to the scalar glueball
• The negative-parity spin-1/2 $\Lambda$ baryon spectrum from lattice QCD and effective theory
• The pp->p Lambda K+ and pp->p Sigma0 K+ reactions with chiral dynamics
• Model Dependence of the Properties of S11 Baryon Resonances
• Chiral dynamics of baryon resonances and hadrons in a nuclear medium
• Eta Photoproduction as a Test of the Extended Chiral Symmetry
• Nucleon resonances in the ${\pi }^{-}p\to K^0\Lambda$ reaction near threshold
• Pole trajectories of the $\Lambda (1405)$ helps establish its dynamical nature
• Resonances and the Weinberg--Tomozawa 56-baryon --35-meson interaction
• Meson-Baryon s-wave Resonances with Strangeness -3
• Roles of the $N(1535)$ and $a_0(980)$ in the process ${\Lambda }_c^{+}\to {\pi }^{+}\eta n$
• Unitarized chiral perturbation theory of hadrons
• Combined analysis of the ${\pi }^{-}p\to K^0\Lambda$, $\eta n$ reactions in a chiral quark model
• Production of pentaquarks with hidden charm and double strangeness in ${\Xi }_b$ and ${\Omega }_b$ decays
• On kinematical constraints in the hadrogenesis conjecture for the baryon resonance spectrum
• On coupled-channel dynamics in the presence of anomalous thresholds
• Coherent Photoproduction of eta-mesons on Three-Nucleon Systems
• Foundations of Strangeness Nuclear Physics derived from chiral Effective Field Theory
• Quark model study of the $\pi N\to \pi N$ reactions up to the $N(1440)$ resonance region
• Chiral dynamics of hadrons in nuclei
• The dynamically generated $N(1535)$ state in the ${\Lambda }_c^{+}\to p{\bar{K}}^0{\pi }^0$ decay
• Chiral unitary approach to hadron spectroscopy
• The pseudoscalar meson and baryon octet interaction with strangeness zero in the unitary coupled-channel approximation
• N K Pi molecular state with I=1 and J(Pi)=3/2-
• Quark-mass dependence of baryon resonances
• Compositeness of the Delta(1232) resonance in pi N scattering
• Resonances in chiral unitary approaches
• ${\Omega }_c$ excited states: a molecular approach with heavy-quark spin symmetry
• Charmed mesons in nuclei with heavy-quark spin symmetry
• Photo- and Electron-Production of Mesons on Nucleons and Nuclei
• Charming Baryons
• Chiral SU(3) Bethe Salpeter Model: Extension to SU(6) and SU(8) Spin-Flavor Symmetries
• The pole structure of low energy $\pi N$ scattering amplitudes
• Charmed excited baryons with heavy-quark spin symmetry
• Probing the isospin structure and low-lying resonances in ${\Lambda }_c^{+}\to n{\bar{K}}^0{\pi }^{+}$ decays
• Understanding the 1P- and 2S-wave nucleon resonances within the extended Lee-Friedrichs Model
• Unitarity Analyses of $\pi N$ Elastic Scattering Amplitudes