The ${\Lambda }_c(2595)$ resonance as a dynamically generated state: the compositeness condition and the large $N_c$ evolution

Abstract

Recent studies have shown that the well established ${\Lambda }_c(2595)$ resonance contains a large meson-baryon component, which can vary depending on the specific formalism. In this work, we examine such a picture by utilizing the compositeness condition and the large number of colors ($N_c$) expansion. We examine three different models fulfilling two body unitarity in coupled-channels, and adopting renormalization schemes where the mass of the ${\Lambda }_c(2595)$ resonance is well described, but not necessarily its width, since we do not consider three body channels and work at the isospin symmetric limit. Both approximations might have an effect larger on the width than on the mass. In this context, our studies show that the compositeness of the ${\Lambda }_c(2595)$ depends on the number of considered coupled channels, and on the particular regularization scheme adopted in the unitary approaches and, therefore, is model dependent. In addition, we perform an exploratory study of the ${\Lambda }_c(2595)$ in the large $N_c$ expansion, within a scheme involving only the $\pi {\Sigma }_c$ and $K{\Xi }_c^{\prime }$ channels, whose dynamics is mostly fixed by chiral symmetry. In this context and formulating the leading-order interaction as a function of $N_c$, we show that for moderate $N_c>3$ values, the mass and width of the ${\Lambda }_c(2595)$ deviate from those of a genuine $qqq$ baryon, implying the relevance of meson-baryon components in its wave function. Furthermore, we study the properties of the ${\Lambda }_c(2595)$, in the strict $N_c\to \infty$ limit, using an extension of the chiral Weinberg-Tomozawa interaction to an arbitrary number of flavors and colors. This latter study hints at the possible existence of a (perhaps) sub-dominant $qqq$ component in the ${\Lambda }_c(2595)$ resonance wave function, which would become dominant when the number of colors gets sufficiently large.

arXiv comment33 pages, 2 figures

References in corpus (82)

• Observation of a narrow charmonium-like state in exclusive B+ -> K+ pi+pi- J/psi decays
• Observation of a New Narrow Charmonium State in Exclusive B+-->K+ pi+pi- J/psi Decays
• Observation of $J/\psi p$ resonances consistent with pentaquark states in ${\Lambda }_b^0\to J/\psi K^{-}p$ decays
• Observation of a charged charmoniumlike structure in e+e- to pi+pi-J/psi at \sqrt{s}=4.26 GeV
• Non perturbative chiral approach to s-wave \bar{K}N interactions
• Chiral Symmetry Amplitudes in the S-Wave Isoscalar and Isovector Channels and the σ, f_0(980), a_0(980) Scalar Mesons
• Chiral symmetry amplitudes in the s-wave isoscalar and isovector channels and the $\sigma ,f_0(980),a_0(980)$ scalar mesons
• Observation of a resonance-like structure in the pi^+- psi' mass distribution in exclusive B-->K pi^+- psi' decays
• Evidence that the a0(980) and f0(980) are not elementary particles
• The 1/N Expansion for Baryons
• Couplings in coupled channels versus wave functions: application to the X(3872) resonance
• SU(N) gauge theories at large N
• On the nature of light scalar mesons from their large $N_c$ behavior
• Low lying axial-vector mesons as dynamically generated resonances
• Spectrum of heavy baryons in the quark model
• On meson resonances and chiral symmetry
• Coupled-channel study of crypto-exotic baryons with charm
• Vector meson-vector meson interaction in a hidden gauge unitary approach
• Nature of the f_0(600) from its N_c dependence at two loops in unitarized Chiral Perturbation Theory
• Bethe-Salpeter Approach for Unitarized Chiral Perturbation Theory
• The ρρinteraction in the hidden gauge formalism and the f_0(1370) and f_2(1270) resonances
• Quark mass dependence of the rho and sigma from dispersion relations and Chiral Perturbation Theory
• Bound state nature of the exotic Z_b states
• Isospin breaking effects in the X(3872) resonance
• Compositeness of dynamically generated states in a chiral unitary approach
• Wave functions of composite hadron states and relationship to couplings of scattering amplitudes for general partial waves
• The s-wave charmed baryon resonances from a coupled-channel approach with heavy quark symmetry
• Comprehensive analysis of the wave function of a hadronic resonance and its compositeness
• New insights into antikaon-nucleon scattering and the structure of the Lambda(1405)
• Heavy Baryon Masses in the $1/m_Q$ and $1/N_c$ Expansions
• Structure and compositeness of hadron resonances
• Charmed and strange baryon resonances with heavy-quark spin symmetry
• Probabilistic interpretation of compositeness relation for resonances
• Resonances from meson-meson scattering in U(3) CHPT
• Scattering lengths of Nambu-Goldstone bosons off $D$ mesons and dynamically generated heavy-light mesons
• Observation of excited Lambda_b0 baryons
• Bethe-Salpeter Approach for Meson-Meson Scattering in Chiral Perturbation Theory
• DN interaction from meson exchange
• Hidden charm N and Delta resonances with heavy-quark symmetry
• Chiral dynamics in form factors, spectral-function sum rules, meson-meson scattering and semilocal duality
• Couplings in coupled channels versus wave functions in the case of resonances: application to the two $\Lambda (1405)$ states
• Mesons in large-N QCD
• Odd parity bottom-flavored baryon resonances
• SU(6) Extension of the Weinberg-Tomozawa Meson-Baryon Lagrangian
• Large-N_c Baryons
• Remarks on pole trajectories for resonances
• Light meson mass dependence of the positive parity heavy-strange mesons
• On charm baryon resonances and chiral symmetry
• Dynamically generated $J^P=1/2^{-}(3/2^{-})$ singly charmed and bottom heavy baryons
• New insights into the $D_{s0}^{\ast }(2317)$ and other charm scalar mesons
• Structure of Near-Threshold s-Wave Resonances
• Lineshapes for composite particles with unstable constituents
• Baryon states with open charm in the extended local hidden gauge approach
• Structure of near-threshold quasi-bound states
• Large-Nc Properties of the rho and f0(600) Mesons from Unitary Resonance Chiral Dynamics
• Low-lying even parity meson resonances and spin-flavor symmetry
• Ordinary and Extraordinary Hadrons
• Large-$N_c$ naturalness in coupled-channel meson-meson scattering
• Model-Independent Bottom Baryon Mass Predictions in the 1/N Expansion
• Partial waves and large $N_C$ resonance sum rules
• Study of exotic hadrons in S-wave scatterings induced by chiral interaction in the flavor symmetric limit
• Properties of the rho and sigma Mesons from Unitary Chiral Dynamics
• Compositeness of the strange, charm and beauty odd parity $\Lambda$ states
• Hadron mass scaling near the s-wave threshold
• Nature of the axial-vector mesons from their Nc behavior within the chiral unitary approach
• Structure of the Lambda(1405) baryon resonance from its large Nc behavior
• Excited Baryon Decay Widths in Large N_c QCD
• Large Nc Weinberg-Tomozawa interaction and negative parity s--wave baryon resonances
• The small $K\pi$ component in the $K^{\ast }$ wave functions
• Resonance on top of thresholds: the ${\Lambda }_c(2595{)}^{+}$ as an extremely fine-tuned state
• Lattice baryons in the 1/N expansion
• Model dependent analyses on the $N_c$ dependence of the $\sigma$ pole trajectory
• SU(3) Clebsch-Gordan Coefficients for Baryon-Meson Coupling at Arbitrary N_c
• Low-lying even parity meson resonances and spin-flavor symmetry revisited
• Elementarity of composite systems
• 1/Nc Countings in Baryons
• Off-shell effects on the interaction of Nambu-Goldstone bosons and $D$ mesons
• The composite nature of the $\Lambda (1520)$ resonance
• Lattice calculations of the spectroscopy of baryons with broken flavor SU(3) symmetry and 3, 5, or 7 colors
• Baryon resonances in large $N_c$ QCD
• SU(6)$\supset$SU(3)xSU(2) and SU(8)$\supset$SU(4)xSU(2) Clebsch-Gordan coefficients
• Large $N$ Weinberg-Tomozawa interaction and spin-flavor symmetry

Cited by in corpus (10)

• Hadronic molecules
• $Z_c(3900)$ as a $D{\bar{D}}^{\ast }$ molecule from the pole counting rule
• Heavy Flavour Physics and CP Violation at LHCb: a Ten-Year Review
• Compositeness of $T_{cc}$ and $X(3872)$ by considering decay and coupled-channels effects
• The newly observed ${\Lambda }_b(6072{)}^0$ structure and its $\rho -$mode nonstrange partners
• Compositeness of hadrons, nuclei, and atomic systems
• Two-body wave functions and compositeness from scattering amplitudes: II. Application to the physical $N^{\ast }$ and ${\Delta }^{\ast }$ resonances
• Study of $qqq\bar{q}Q$ pentaquark system in the Chiral Quark Model
• Large-N_c sum rules for charmed baryons at subleading orders
• Is the ${\Lambda }_c(2625{)}^{+}$ the heavy quark spin symmetry partner of the ${\Lambda }_c(2595{)}^{+}$?