Chiral Dynamics of the Two Λ(1405) States

Abstract

Using a chiral unitary approach for the meson--baryon interactions, we show that two octets of J^π=1/2^- baryon states, which are degenerate in the limit of exact SU(3) symmetry, and a singlet are generated dynamically. The SU(3) breaking produces the splitting of the two octets, resulting in the case of strangeness S=-1 in two poles of the scattering matrix close to the nominal Λ(1405) resonance. These poles are combinations of the singlet state and the octets. We show how actual experiments see just one effective resonance shape, but with properties which change from one reaction to another.

21 pages, 5 figures

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• On the spin, parity and nature of the $\Xi (1620)$ resonance
• Negative Parity 70-plet Baryon Masses in the 1/Nc Expansion
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• Five-quark components in baryons
• Hyperon II: Properties of excited hyperons
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• Reply to Comment on "Surprises in threshold antikaon-nucleon physics"
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• Role of the possible ${\Sigma }^{\ast }({\frac{1}{2}}^{-})$ state in the $\Lambda p\to \Lambda p{\pi }^0$ reaction
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• Decay properties of $N^{\ast }(1895)$
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• Microscopic 8-quark study of the antikaon nucleon nucleon systems
• Analysis of the Crystal Ball data on $K^{-}p\to {\pi }^0{\Sigma }^0$ reaction with center-of-mass energies of $1536\sim 1676$ MeV
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• Exploring the $D^{\ast }\rho$ system within QCD sum rules
• Physics with Identified Particles at STAR
• Study of X(5568) in a unitary coupled-channel approximation of $B\bar{K}$ and $B_s\pi$
• The negative-parity spin-1/2 $\Lambda$ baryon spectrum from lattice QCD and effective theory
• Complementary studies on $N^{\ast }$ from $e^{+}{e}^{-}$, $pp$ and $p\bar{p}$ collisions
• Chiral dynamics of baryon resonances and hadrons in a nuclear medium
• Tests on the molecular structure of $f_2(1270)$, $f_2^{\prime }(1525)$ from $\psi (nS)$ and ${\rm Y}(nS)$ decays
• Study ${\Xi }_c^{+}\to \Lambda {\bar{K}}^0{\pi }^{+}$ and search for the low-lying baryons $\Xi (1/2^{-})$ and $\Sigma (1/2^{-})$
• $J/\psi$ decay into $\varphi (\omega )$ and vector-vector molecular states
• Observation of ${\Lambda }_c^{+}\to \Lambda a_0(980{)}^{+}$ and Evidence for $\Sigma (1380{)}^{+}$ in ${\Lambda }_c^{+}\to \Lambda {\pi }^{+}\eta$
• $\Lambda$ and $\Sigma$ Excitations and the Quark Model
• Hadronic molecules with four charm or beauty quarks
• The molecular nature of some exotic hadrons
• Semileptonic ${\Lambda }_b\to {\bar{\nu }}_{l}l{\Lambda }_c(2595)$ and ${\Lambda }_b\to {\bar{\nu }}_{l}l{\Lambda }_c(2625)$ decays in the molecular picture of ${\Lambda }_c(2595)$ and ${\Lambda }_c(2625)$
• Description of $\rho (1700)$ as a $\rho K\bar{K}$ system with the fixed center approximation
• Chiral Unitary Dynamics of Hadrons and Hadrons in a Nuclear Medium
• Structure of the $\mathbf{\Lambda }(1670)$ resonance
• High-density kaonic-proton matter (KPM) composed of Lambda* equiv K-p multiplets and its astrophysical connections
• Structure of hadron resonances with a nearby zero of the amplitude
• Recent developments in antikaon-nucleon dynamics
• Structure of Lambda(1405) and chiral dynamics
• Resonances and the Weinberg--Tomozawa 56-baryon --35-meson interaction
• Hadronic molecular states with the quark contents $bc\bar{s}\bar{q}$, $b\bar{c}s\bar{q}$, and $b\bar{c}\bar{s}q$
• Determination of the compositeness of resonances from decays: the case of the $B_s^0\to J/\psi f_1(1285)$
• Is two-poles' $\Lambda (1405)$ one state or two?
• Aspects of Strangeness -1 Meson-Baryon Scattering
• Pole trajectories of the $\Lambda (1405)$ helps establish its dynamical nature
• Jet Fragmentation via Recombination of Parton Showers
• Compositeness of hadron resonances in finite volume
• The Lambda(1405) state in a chiral unitary approach with off-shell corrections to dimensional regularized loop functions
• Formation of Deeply Bound Kaonic Atoms in (K^-,N) Reactions
• Theoretical study of the Lambda(1405) resonance in Xi_b^0 -> D^0 pi Sigma decay
• Low energy reaction $K^{-}p\to \Lambda \eta$ and the negative parity $\Lambda$ resonances
• Photo-production of lowest ${\Sigma }_{1/2^{-}}^{\ast }$ state within the Regge-effective Lagrangian approach
• Production mechanism of hidden-charm pentaquark states $P_{c\bar{c}s}$ with strangeness $S=-1$
• The K^- αscattering length and the reaction dd \to αK^+ K^-
• How does the $X(3872)$ show up in $e^{+}{e}^{-}$ collisions: dip versus peak
• Lambda(1405) in a baryon-meson scattering with a bound state embedded in the continuum
• Complete Relativistic Description of the N*(1520)
• Study of a possible S=+1 dynamically generated baryonic resonance
• Lambda(1405) as a K-bar N Feshbach resonance in the Skyrme model
• Photo- and electroproduction of $\Lambda (1405)$ via ${\gamma }^{(\ast )}p\to K^{+}{\pi }^{+}{\Sigma }^{-}$
• The anti-decuplet candidate Xi--(1862) as a heptaquark with the overlap of two anti-kaons and a nucleon
• Studying the bound state of the $K^{-}p$ system in the Bethe-Salpeter formalism
• Meson-baryon scattering in resummed baryon chiral perturbation theory using time-ordered perturbation theory
• KN scattering amplitude revisited in a chiral unitary approach and a possible broad resonance in S=+1 channel
• Structure, formation and decay of $\bar{K}NN$ system by Faddeev-AGS calculations
• Degeneracy patterns of chiral companions at finite temperature
• The $\Lambda (1405)$ in resummed chiral effective field theory
• Review on dynamically generated resonances
• Meson-baryon nature of Lambda(1405) in chiral dynamics
• Baryon Resonances
• Dynamically Generated Resonances in the Chiral Unitary Approach to Meson Baryon Interaction
• Baryon polarization in low-energy unpolarized meson-baryon scattering
• Charge-conjugation asymmetry and molecular content: the $D_{s0}^{\ast }(2317{)}^{\pm }$ in matter
• Study of the resonance contributions in the ${\Xi }_b^{-}\to p{K}^{-}{K}^{-}$ decay
• $\Lambda (1405)$ from lattice QCD
• New insights in \bar{K}N scattering and the Λ(1405)
• On Lowest Lying ${\frac{1}{2}}^{-}$ Octet Baryons
• What We Know About the Lambda(1405)
• Singlet baryons in the graded symmetry approach to partially quenched QCD
• Possible molecules of triple-heavy pentaquarks within the extended local hidden gauge formalism
• Effective Kbar N interaction and role of chiral symmetry
• $\Lambda (1405)$ mediated triangle singularity in the $K^{-}d\to p{\Sigma }^{-}$ reaction
• Double strangeness pentaquarks and other exotic hadrons in the ${\Xi }_b\to \Xi J/\Psi \varphi$ decay
• $K^{-}d\to \pi \Sigma n$ reactions and structure of the $\Lambda (1405)$
• Mesonic and non-mesonic branching ratios of K^- absorption in the nuclear medium
• Two, three, many body systems involving mesons
• Dynamical Generation of Hyperon Resonances
• $\bar{K}\bar{D}N$ molecular state as a "$uuds\bar{c}$ pentaquark" in a three-body calculation
• Signature of $N^{\star }$ resonance in mass spectrum of the $K\bar{K}N$ decay channels
• Unitarization Technics in Hadron Physics with Historical Remarks
• Trace of $\Lambda (1405)$ resonance in low energy $K^{-}+{}^3\mathrm{He}\to ({\pi }^0{\Sigma }^0)+d$ reaction
• Properties of the Lambda(1405) Measured at CLAS
• Strong decays of $a_0$, $f_0$, $f_2$, and $K_2^{\ast }$ resonances as dynamically generated states of two vector mesons
• The Observed Correlations for the Strange Multibaryon States in Systems with $\Lambda$-Hyperon from pa Collision at Momentum of 10 Gev/$c$
• Constraints from a large-N_c analysis on meson-baryon interactions at chiral order Q^3
• A possible interpretation of $\Lambda$ baryon spectrum with pentaquark components
• Three-body hadron systems with strangeness
• 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
• Structure of $\Lambda$(1405) resonance and $\gamma p\to K^{+}+(\pi \Sigma {)}^0$ reaction
• Construction of KbarN potential and structure of Lambda(1405) based on chiral unitary approach
• The odd-parity strange baryons $\Sigma ({\frac{1}{2}}^{-})$ below 1.8 GeV with Hamiltonian effective field theory
• Excited Hyperons Produced in Proton-Proton Collisions with Anke@COSY
• Baryonic Resonances from Baryon Decuplet-Meson Octet Interactions and the Exotic Resonance S=1, I=1, J^P=3/2-
• The lightest flavor--singlet qqq baryons as witnesses to color
• Chirally motivated $\pi \Sigma$-$\bar{K}N$ model in a finite volume
• On the origin and movement of the poles in the coupled channels model for $\bar{K}N$ interactions
• Amplitude analysis of $\bar{K}N$ scattering
• Deduction of $M(Sigmapi)$ for $Lambda(1405)$ with mixed $T_{Sigmapileftarrow{K}^{-}p}and{T}_{SigmapileftarrowSigmapi}$ from Hemingway's data
• Polarized $p{K}^{-}$ scattering in Unitary Baryon Chiral Perturbation Theory
• Dynamically generated resonances
• Determining Compositeness of Hadronic Resonances: the $\Lambda (1405)$ Radiative Decay and the $a_0(980)$-$f_0(980)$ Mixing
• Role of ${\Sigma }^{\ast }(1/2^{-})$ baryons in ${\Lambda }_c\to \Lambda {\pi }^{+}{\pi }^{+}{\pi }^{-}$ decay
• Partial wave analysis of $\psi (3686)\to \Lambda {\bar{\Sigma }}^0{\pi }^0+c.c.$
• Electric Mean Squared Radii of Lambda(1405) in Chiral Dynamics
• Quark-mass dependence of baryon resonances
• Prediction of the masses and decay processes of strange, charmed and bottomed pentaquarks from the linear molecular crypto-heptaquark model
• Interactions of the Pseudoscalar Meson Octet and the Baryon Decuplet in the Continuum and a Finite Volume
• Charmed mesons in nuclei with heavy-quark spin symmetry
• A new N* resonance as a hadronic molecular state
• Charmed baryonic resonances in medium
• Signature of strange dibaryon in kaon-induced reaction
• Antikaon-nucleon dynamics and its application to few-body systems
• Recent developments in chiral dynamics of hadrons and hadrons in a nuclear medium
• Resonances in chiral unitary approaches
• The nature of the Lambda(1405)
• $K^{-}d\to \pi \Lambda N$ reaction with in-flight kaons for studying the $\Lambda N$ interaction
• Evidence for two Lambda(1405) resonance states
• Search for the low-lying excited baryon ${\Sigma }^{\ast }(1/2^{-})$ through process ${\Lambda }_c^{+}\to \Lambda K^0{\pi }^{+}$
• Theoretical approaches to low energy $\bar{K}N$ interactions
• Mesons in Nuclei and Partial Restoration of Chiral Symmetry
• The $\bar{K}N$ interaction in higher partial waves
• Vector- and Pseudoscalar-baryon coupled channel systems
• Photo- and Electron-Production of Mesons on Nucleons and Nuclei
• Differential technique for the covariant orbital angular momentum operators
• $\Lambda (1405)$ and $\bar{\Lambda }(1405)$ in $J/\psi$ four-body decays
• Challenges in Hadron Physics
• Strangeness photoproduction at extremely forward angles at the BGO-OD experiment
• A note on the tensor and vector exchange contributions to $K\bar{K}\to K\bar{K},D\bar{D}\to D\bar{D}$ and ${\pi }^{+}{\pi }^{-}\to {\pi }^{+}{\pi }^{-}$ reactions
• 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
• Producing $\Lambda (1405)$ and $\Lambda (1520)$ in ${\pi }^{-}p$ reaction to explore their inner structures
• The $\Lambda (1405)$ resonance as a genuine three-quark or molecular state
• Energy dependence of $K^{-}$-"$pp$" effective potential derived from coupled-channel Green's function
• Chiral dynamics, structure of Lambda(1405), and Kbar N phenomenology
• Dynamically generated hadronic states in the $\bar{K}N$ and $\eta N$ coupled-channels interactions
• Correlation function for the $n{\bar{D}}_{s0}^{\ast }(2317)$ interaction and the issue of elastic unitarity
• Meson and Baryon resonances
• Lambda(1405) N to Y N transition in nuclear medium for non-mesonic absorption of Kbar in nucleus
• SU(3) flavor symmetry considerations for the $\bar{K}N$ coupled channels system
• Role of the $\Lambda (1600)$ in the $K^{-}p\to \Lambda {\pi }^0{\pi }^0$ reaction
• Probing the isospin structure and low-lying resonances in ${\Lambda }_c^{+}\to n{\bar{K}}^0{\pi }^{+}$ decays
• Investigation of the $\bar{K}$--${}^6$Li Interaction and the Search for the $\Lambda (1405)$ Resonance
• Effective Kbar N interaction with strong pi Sigma dynamics constrained by chiral SU(3) symmetry
• Strange mesons in nuclei and neutron stars
• Polarization of $\Lambda (1405)$ in the $\gamma p\to K^{+}\pi \Sigma$ reaction
• Strangeness and Charm in Nuclear Matter
• Compositeness of Hadrons and Near-Threshold Dynamics
• Compositeness of Near Threshold Quasi-Bound States
• Pseudoscalar mesons in nuclei and partial restoration of chiral symmetry
• Recent Developments in Chiral Unitary Dynamics of Resonances
• Electromagnetic transition form factors and Dalitz decays of hyperons
• The Peak Structure in the In-Flight ${}^3\text{He}(K^{-},\Lambda p)n$ Reaction Around the $\bar{K}NN$ Threshold
• Chiral, parity-doublet, effective-Lagrangian mean-field theories for nuclear and astrophysical phenomenology
• Hadronic few-body systems in chiral dynamics, -- Few-body systems in hadron physics --
• Studies on photo- and electro-productions of $\Lambda (1405)$ via ${\gamma }^{(\ast )}p\to K^{\ast +}{\pi }^0{\Sigma }^0$
• 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
• $N^{\ast }(1920)(1/2^{+})$ state in the $NK\bar{K}$ system
• Three body systems with strangeness and exotic systems
• Origin of resonances in chiral dynamics