Evidence that the a0(980) and f0(980) are not elementary particles

Abstract

We study the interesting problem of whether it is possible to distinguish composite from elementary particles. In particular we generalize a model-independent approach of S. Weinberg to the case of unstable particles. This allows us to apply our formalism to the case of the a0(980) and f0(980) resonances and to address the question whether these particles are predominantly genuine, confined quark states (of $\bar{q}q$ or $qq\bar{q}\bar{q}$ structure) or governed by mesonic components.

15 pages, 4 Figures

References in corpus (2)

• The new analysis of the KLOE data on the phi->eta pi0 gamma decay
• Is the a_0(1450) a candidate for the lowest q\bar{q} ^3P_0 state?

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• Strong decay mode $J/\psi p$ of hidden charm pentaquark states $P_c^{+}(4380)$ and $P_c^{+}(4450)$ in ${\Sigma }_c{\bar{D}}^{\ast }$ molecular scenario
• Dynamical coupled-channel approaches on a momentum lattice
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• X(3872) in the molecular model
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• Decay behaviors of Pc hadronic molecules
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• Ds0*(2317) and Ds1(2460) mesons in two-body B-meson decays
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• Reconciling the X(4630) with the Y(4660)
• From the lineshape of the $X(3872)$ to its structure
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• Production of $Y(4260)$ as a hadronic molecule state of $\bar{D}{D}_1+c.c.$ in $e^{+}{e}^{-}$ annihilations
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• Generalized weak-binding relations of compositeness in effective field theory
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• Compositeness of baryonic resonances: Applications to the Delta(1232), N(1535), and N(1650) resonances
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• Generalization of Weinberg's Compositeness Relations
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• Analysis of the $B^{+}\to J/\psi \varphi K^{+}$ data at low $J/\psi \varphi$ invariant masses and the $X(4140)$ and $X(4160)$ resonances
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• Production of exotic hadrons in $pp$ and nuclear collisions
• Classification of the scalar mesons: a strange pole expedition into charm and beauty territory
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• Triangle singularity in the $B^{-}\to K^{-}{\pi }^{0}X(3872)$ reaction and sensitivity to the $X(3872)$ mass
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• Pseudoscalar and vector open-charm mesons at finite temperature
• Light quark mass dependence in heavy quarkonium physics
• Triangle singularity in $B^{-}\to K^{-}X(3872);X\to {\pi }^0{\pi }^{+}{\pi }^{-}$ and the X(3872) mass
• On the chiral covariant approach to $\rho \rho$ scattering
• Partial twisting for scalar mesons
• Nature of the sigma meson as revealed by its softening process
• Weinberg's Compositeness
• Photoproduction of $a_0(980)$ and $f_0(980)$
• Triangle singularities in $J/\psi \to \eta {\pi }^0\varphi$ and ${\pi }^0{\pi }^0\varphi$
• Study of scalar meson f_0(980) and K_0^*(1430) from B \to f_0(980)ρ(ω, ϕ) and B \to K^*_0(1430)ρ(ω) Decays
• X(6200) as a compact tetraquark in the QCD string model
• Coupled-channel effects in the pp -> ppK+K- reaction
• Hadronic-loop induced mass shifts in scalar heavy-light mesons
• Towards an understanding of the light scalar mesons
• Elementarity of composite systems
• $B_s\pi$--$B\bar{K}$ interactions in finite volume and the $X(5568)$
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• Eta meson production in nucleon-nucleon collisions within an effective Lagrangian model
• The role of the next-to-leading order triangle-shaped diagram in two-body hadronic decays
• Probing the nature of $Y(4260)$ and $Z_c(3900)$ in the isospin violating process $Y(4260)\to J/\psi \eta {\pi }^0$
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• Radiative decays of the spin-$2$ partner of $X(3872)$
• The composite nature of the $\Lambda (1520)$ resonance
• The $a_0(980)$ in the single Cabibbo-suppressed process ${\Lambda }_c\to {\pi }^0\eta p$
• Hadronic decays of the heavy-quark-spin molecular partner of $T_{cc}^{+}$
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• Analysis on the composite nature of the light scalar mesons $f_0(980)$ and $a_0(980)$
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• The ${\Lambda }_c(2595)$ resonance as a dynamically generated state: the compositeness condition and the large $N_c$ evolution
• KKbar photoproduction from protons
• Study of scalar meson $a_0(980)$ from $B\to a_0(980)\pi$ Decays
• Lowest lying even-parity ${\bar{B}}_s$ mesons: heavy quark spin-flavor symmetry, chiral dynamics, and constituent quark model bare masses
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• On the scalar nonet in the extended Nambu Jona-Lasinio model
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• Testing the nature of the $\Lambda (1520)$ resonance in proton-induced production
• Remarks on non-perturbative three--body dynamics and its application to the $KK\bar{K}$ system
• $D_{s0}^{\ast }(2317{)}^{+}$ in the decay of $B_c$ into $J/\psi DK$
• Global coupled-channel analysis of $e^{+}{e}^{-}\to c\bar{c}$ processes in $\sqrt{s}=3.75-4.7$ GeV
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• Remarks on meson loop effects on quark models
• A study of the gamma* - f0(980) transition form factors
• Comment on "Once more about the KK molecule approach to the light scalars"
• Properties of light resonances from unitarized Chiral perturbation theory: Nc behavior and quark mass dependence
• Role of the triangle mechanism in the ${\Lambda }_b\to {\Lambda }_c{\pi }^{-}{f}_0(980)$ reaction
• The three-pion decays of the $a_1(1260)$
• Masses of Heavy and Light Scalar Tetraquarks in a Non-Relativistic Quark Model
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• Branching Ratio and CP Asymmetry of B_s \to K^*_0(1430)ρ(ω,ϕ) Decays in the PQCD Approach
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• Study of scalar meson a_0(1450) from B \to a_0(1450)K^* Decays
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• Compositeness of hadrons, nuclei, and atomic systems
• Is two-poles' $\Lambda (1405)$ one state or two?
• Photoproduction and mixing effects of scalar a0 and f0 mesons
• Determination of the compositeness of resonances from decays: the case of the $B_s^0\to J/\psi f_1(1285)$
• The $X(6900)$ peak could be a molecular state
• $J/\psi \to \gamma \pi \pi$, $\gamma {\pi }^0\eta$ reactions and the $f_0(980)$ and $a_0(980)$ resonances
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• Remark on the effective range approach to the f_0-a_0 mesons
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• Compositeness of hadron resonances in finite volume
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• Two- and three-body structure of the Y(4660)
• Two-pion exchange for coupled-channel scattering of two heavy mesons
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• QCD sum rule study on the $f_0(980)$ structure as a pure $K\bar{K}$ bound state
• Inverse scattering problem with a bare state
• Production of $f_0(980)$ meson at the LHC: Color evaporation versus color-singlet gluon-gluon fusion
• Composite nature of $Z_b$ states from data analysis
• Roles of the scalar $f_0(500)$ and $f_0(980)$ in the process $D^0\to {\pi }^0{\pi }^0{\bar{K}}^0$
• ${\bar{B}}^0\to {\bar{K}}^{(\ast )0}X$, $B^{-}\to K^{(\ast )-}X$, ${\bar{B}}_s^0\to \eta ({\eta }^{\prime },\varphi )X$ from the $X(3872)$ molecular perspective
• $P_c(4457)$ interpreted as a $J^P=1/2^{+}$ state by ${\bar{D}}^0{\Lambda }_c^{+}(2595)$-${\pi }^0{P}_c(4312)$ interaction
• Bottomonia in an unquenched quark model
• Chiral dynamics and S-wave contributions in ${\bar{B}}^0/D^0\to {\pi }^{\pm }\eta l^{\mp }\nu$ decays
• Branching Ratio and CP Asymmetry of B_s \to K^*_0(1430)πDecays in the PQCD Approach
• Insights into the nature of the $P_{cs}(4459)$
• The scalar-isovector sector in the extended Linear Sigma Model
• $VP\gamma$ radiative decay of resonances dynamically generated from the vector meson-vector meson interaction
• What We Know About the Lambda(1405)
• Resonance-like coherent production of a pion pair in the reaction $pd\to pd\pi \pi$ in the GeV region
• Photoproduction of $f_0(980)$ and $f_0(1500)$ resonances off a proton target
• Binding vs. scattering length: $\eta$ in light nuclei
• Charge-conjugation asymmetry and molecular content: the $D_{s0}^{\ast }(2317{)}^{\pm }$ in matter
• Extraction of the KK-bar isovector scattering length from pp -> d K^+ K-bar^0 data near threshold
• Production of $1^{-+}$ exotic charmonium-like states in electron-positron collisions
• Amplitude Analysis for Mesons and Baryons: Tools and Technology
• Signature of $N^{\star }$ resonance in mass spectrum of the $K\bar{K}N$ decay channels
• Production potential of hidden-strange molecular pentaquarks through the ${\pi }^{-}p\to K^{\ast }\Sigma$ process
• Semileptonic decay of $B_c^{-}$ into $X(3930)$, $X(3940)$, $X(4160)$
• Theoretical study of the open-flavor tetraquark $T_{c\bar{s}}(2900)$ in the process ${\bar{B}}_s^0\to K^0{D}^0{\pi }^0$
• Pseudoscalar Goldstone Bosons Scattering off Charmed Baryons with Chiral Perturbation Theory
• Investigating $S$-wave bound states composed of two pseudoscalar mesons
• Testing the light scalar meson as a non-$q\bar{q}$ state in semileptonic $D$ decays
• Searching for a hidden charm $h_1$ state in the $X(4660)\to \eta h_1$ and $X(4660)\to \eta D^{\ast }{\bar{D}}^{\ast }$ decays
• Structure of $\Lambda$(1405) resonance and $\gamma p\to K^{+}+(\pi \Sigma {)}^0$ reaction
• Dynamical generation of hadronic resonances
• On the possibility of revealing the transition of a baryon pair state to a six-quark confinement state
• Investigation of the $X(4020)$ peak in the $D^{\ast }{\bar{D}}^{\ast }$ and $\pi h_c$ channels
• Towards a theory of baryon resonances
• Scalar isovector resonance photoproduction through the final state meson-meson interactions
• Theory Concepts for Heavy Exotic Mesons
• Drawbacks of applying perturbative schemes to meson spectroscopy
• The general propagator for S-wave threshold states
• Hadronic molecules and multiquark states
• Rescattering-induced $D\to SS$ weak decays
• Chiral Extrapolation of light resonances from Unitarized Chiral Perturbation Theory
• The effect of isospin violation on scalar meson production
• Compositeness Of Quasibound States from Effective Field Theory
• Dynamical generation of hadronic resonances in effective models with derivative interactions
• A walk through the world of chiral dynamics
• Roles of $a_0(980)$ and $a_0(1710)$ in Cabibbo-suppressed process $D^{+}\to {\pi }^0{\pi }^{+}\eta$
• Finding a clean process $B^{-}\to K^{-}{D}^0{K}^0$ to probe absolutely exotic four-quark states
• SU(3) flavor symmetry considerations for the $\bar{K}N$ coupled channels system
• Structure of exotic hadrons by a weak-binding relation with finite-range correction
• Compositness and wave function of shallow bound states in relation to scattering observables
• $a_0(980)$ as a companion pole of $a_0(1450)$
• Role of the effective range in the weak-binding relation
• Compositeness of Hadrons and Near-Threshold Dynamics
• Compositeness of Near Threshold Quasi-Bound States
• Lifetime of the eta' meson at low temperature
• Hadronic production of eta--mesons: recent results and open questions
• Light scalars as tetraquarks: decays and mixing with quarkonia
• The scalars $a_0(980)$ and $f_0(980)$ in the process $D_s^{+}\to K^{+}{K}^{-}{\pi }^{+}$
• Amplitude Analysis of the Isospin-Violating Decay $J/\psi \to \gamma \eta {\pi }^0$