How Resonances can synchronise with Thresholds

Abstract

The mechanism by which a threshold may capture a resonance is examined. It involves a threshold cusp interfering constructively with either or both (i) a resonance produced via confinement, (ii) attractive t- and u-channel exchanges. The fo(980), X(3872) and Z(4430) are studied in detail. The fo(980) provides a valuable model of the locking mechanism. The X(3872) is too narrow to be fitted by a cusp, and requires either a resonance or virtual state. The Z(4430) can be fitted as a resonance but also can be fitted successfully by a cusp with no nearby resonant pole.

19 pages, 6 figures. Replaces 0709.1254

References in corpus (37)

• The Cosmological Parameters 2006
• Big-Bang nucleosynthesis (Particle Data Group mini-review)
• Observation of a New Narrow Charmonium State in Exclusive B+-->K+ pi+pi- J/psi Decays
• Observation of a narrow charmonium-like state in exclusive B+ -> K+ pi+pi- J/psi decays
• Isospin breaking of the narrow charmonium state of Belle at 3872 MeV as a deuson
• Mass and width of the lowest resonance in QCD
• Short Range Structure in the X(3872)
• The D*0 D0bar threshold resonance
• UNDERSTANDING THE SCALAR MESON $q\bar{q}$ NONET
• On the nature of light scalar mesons from their large $N_c$ behavior
• Resonances in $J/\psi \to \varphi {\pi }^{+}{\pi }^{-}$ and $\varphi K^{+}{K}^{-}$
• On the structure of the scalar mesons $f_0(975)$ and $a_0(980)$
• A new analysis of $\pi K$ scattering from Roy and Steiner type equations
• Observation of a Near-threshold $D^0{\bar{D}}^0{\pi }^0$ Enhancement in $B\to D^0{\bar{D}}^0{\pi }^{0}K$ Decay
• Reconciling the X(3872) with the near-threshold enhancement in the D^0\bar{D}^{*0} final state
• Study of Resonances in Exclusive B Decays to Dbar(*)D(*)K
• Observation of a Charmed Baryon Decaying to D0 p at a Mass Near 2.94 GeV/c2
• Determination of the a0-a2 pion scattering length from K->pi+ pi0 pi0 decay
• The nature of $\sigma$, $\kappa$, $a_0(980)$ and $f_0(980)$
• Experimental Constraints on the Spin and Parity of the Lambda_c(2880)
• Study of the X(3872) and Y(4260) in B0-->J/psi pi+ pi- K0 and B-->J/psi pi+ pi- K- decays
• The $\sigma$ pole in $J/\psi \to \omega {\pi }^{+}{\pi }^{-}$
• Observation of a near-threshold enhancement in the ωϕmass spectrum from the doubly OZI suppressed decay J/ψ\to γωϕ
• ${\Lambda }_c^{+}(2940)$: A Possible Molecular State?
• A Study in Depth of f0(1370)
• Partial Wave Analysis of $J/\psi \to \gamma ({\pi }^{+}{\pi }^{-}{\pi }^{+}{\pi }^{-})$
• Single Electrons from Heavy Flavor Decays in p+p Collisions at sqrt(s) = 200 GeV
• Partners of Z(4430) and Productions in B Decays
• Decays of sigma, kappa, a0(980) and fo(980)
• Possible new resonance at the $D^{\ast }{\bar{D}}^{\ast }$ threshold in $e^{+}{e}^{-}$ annihilation
• The X(3872) and the 3941 MeV peak in omega+J/Psi
• The BES f_0(1810): a new glueball candidate
• The f2(1565) in pbar-p -> (omega-omega)pizero interactions at rest
• Partial Wave Analysis of $J/\psi \to \gamma (K^{+}{K}^{-}{\pi }^{+}{\pi }^{-})$
• The light scalar mesons within quark models
• Light scalar and vector mesons in the large $N_c$ limit from unitarized chiral perturbation theory
• Recent progress on the light meson resonance description from unitarized Chiral Perturbation Theory and large Nc

Cited by in corpus (64)

• The hidden-charm pentaquark and tetraquark states
• Multiquark Resonances
• Heavy-Quark QCD Exotica
• Observation of a narrow pentaquark state, $P_c(4312{)}^{+}$, and of two-peak structure of the $P_c(4450{)}^{+}$
• Exotics: Heavy Pentaquarks and Tetraquarks
• A review of the open charm and open bottom systems
• Observation of the resonant character of the $Z(4430{)}^{-}$ state
• New Charmonium States in QCD Sum Rules: a Concise Review
• Higher Charmonia and X,Y,Z states with Screened Potential
• Threshold cusps and triangle singularities in hadronic reactions
• The Z(4430) and a New Paradigm for Spin Interactions in Tetraquarks
• How to reveal the exotic nature of the P_c(4450)
• Four-Quark Hadrons: an Updated Review
• Study of doubly heavy tetraquarks in Lattice QCD
• A New Picture for the Formation and Decay of the Exotic $XYZ$ Mesons
• Explaining the Many Threshold Structures in the Heavy-Quark Hadron Spectrum
• An explanation of Belle states Z_b(10610) and Z_b(10650)
• Coupled-Channel and Screening Effects in Charmonium Spectrum
• Nature of X(3872) from data
• ${\chi }_{c0}^{}(3915)$ As the Lightest $c\bar{c}s\bar{s}$ State
• Hadron interaction with heavy quarkonia
• Ambiversion of X(3872)
• X(3872) in the molecular model
• Fully-heavy tetraquark spectroscopy in the relativistic quark model
• Hidden charm tetraquark states in a diquark model
• Re-analysis of data on a0(1450) and a0(980)
• Charged charmonium-like Z+(4430) from rescattering in conventional B decays
• A model-independent confirmation of the $Z(4430{)}^{-}$ state
• Kinematical Cusp and Resonance Interpretations of the $X(2900)$
• Hidden-charm and radiative decays of the Z(4430) as a hadronic D_1 \bar{D^\ast} bound state
• Low-energy $D^{\ast +}{D}_1^0$ Scattering and the Resonance-like Structure $Z^{+}(4430)$
• Study of the near-threshold $\omega \varphi$ mass enhancement in doubly OZI suppressed $J/\psi \to \gamma \omega \varphi$ decays
• Searching for the rules that govern hadron construction
• Hadronic Spectrum - Multiquark States
• ${\mathrm{Z}}^{+}(4430)$ and Analogous Heavy Flavor States
• An update on the Kappa
• The strong decay patterns of $Z_c$ and $Z_b$ states in the relativized quark model
• An alternative fit to Belle mass spectra for DD, D*D* and Lambda_C Lambda_c
• Tetraquark Cusp Effects from Diquark Pair Production
• Interference effects in the X(4260) signal
• The hidden-charm strong decays of the $Z_c$ states
• Comments on `Systematics of radial and angular-momentum Regge trajectories of light non-strange $q\bar{q}$ states', Masjuan, Arriola and Broniowski
• Isovector scalar $a_0(980)$ and $a_0(1450)$ resonances in the $B\to \psi (K\bar{K},\pi \eta )$ decays
• On the width of N-Delta and Delta-Delta states
• $Z_c(4430)$ and $Z_c(4200)$ as triangle singularities
• Study of the lineshape of $X(3872)$ using $B$ decays to $D^0\overline{D}{}^{\ast 0}K$
• Observation of $e^{+}{e}^{-}\to \eta h_c$ at center-of-mass energies from 4.085 to 4.600 GeV
• The two-body open charm decays of $Z^{+}(4430)$
• Recoupling Mechanism for exotic mesons and baryons
• $D_{s0}(2590)$ as a dominant $c\bar{s}$ state with a small $D^{\ast }K$ component
• Light 2++ and 0++ mesons
• Are the XYZ states unconventional states or conventional states with unconventional properties?
• Charged charmonium-like states as rescattering effects in B -> D_sJ D^(*) decays
• Hyperon production in ${\Lambda }_c^{+}\to K^{-}p{\pi }^{+}$ and ${\Lambda }_c^{+}\to K_S^{0}p{\pi }^0$
• Synchonisation of Resonances with Thresholds
• A fresh look at eta2(1645), eta2(1870), eta2(2030) and f2(1910) in pbar-p -> eta + 3pizero
• Search for the X(1812) in $B^{\pm }\to K^{\pm }\omega \varphi$
• Analysis of the possible $D{\bar{D}}_{s0}^{\ast }(2317)$ and $D^{\ast }{\bar{D}}_{s1}^{\ast }(2460)$ molecules with QCD sum rules
• A New Dynamical Picture for the Production and Decay of the $XYZ$ Mesons
• Modifications on parameters of $Z(4430)$ in a dense medium
• A new perspective on MOND
• A helpful analogy between the covalent bond and Particle Spectroscopy
• Charged charmonium-like structures and the initial single chiral particle emission mechanism
• Systematic study of fully heavy-flavored tetraquarks $Q_1{Q}_2{\bar{Q}}_1{\bar{Q}}_2(Q_{1;2}\in \left\{b;c\right\})$: Mass spectra, threshold analysis, and confrontation with LHC data