Channel coupling in heavy quarkonia: energy levels, mixing, widths and new states

Abstract

The mechanism of channel coupling via decay products is used to study energy shifts, level mixing as well as the possibility of new near-threshold resonances in $c\bar{c},b\bar{b}$ systems. The Weinberg eigenvalue method is formulated in the multichannel problems, which allows to describe coupled-channel resonances and wave functions in a unitary way, and to predict new states due to channel coupling. Realistic wave functions for all single-channel states and decay matrix elements computed earlier are exploited, and no new fitting parameters are involved. Examples of level shifts, widths and mixings are presented; the dynamical origin of X(3872) and the destiny of the single-channel $2^3{P}_1(c\bar{c})$ state are clarified. As a result a sharp and narrow peak in the state with quantum numbers $J^{PC}=1^{++}$ is found at 3.872 GeV, while the single-channel resonance originally around 3.940 GeV, becomes increasingly broad and disappears with growing coupling to open channels.

27 pages, 13 figures The article is accepted for publication in Physical Review D

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Cited by in corpus (48)

• Hadronic molecules
• The hidden-charm pentaquark and tetraquark states
• Exotics: Heavy Pentaquarks and Tetraquarks
• Bottomonium spectrum revisited
• Interpretation of the X(3872) as a charmonium state plus an extra component due to the coupling to the meson-meson continuum
• X(3872) and Y(4140) using diquark-antidiquark operators with lattice QCD
• Higher mass bottomonia
• Dynamical origin and the pole structure of X(3872)
• Hadron interaction with heavy quarkonia
• Interplay of quark and meson degrees of freedom in near-threshold states: A practical parametrisation for line shapes
• X(3872) in the molecular model
• A practical parametrization for line shapes of near-threshold states
• $X(4140)$, $X(4270)$, $X(4500)$ and $X(4700)$ and their $cs\bar{c}\bar{s}$ tetraquark partners
• Coupled-Channel Effects for the Bottomonium with Realistic Wave Functions
• Molecular structures in charmonium spectrum: The $XYZ$ puzzle
• Understanding the internal structures of the $X(4140)$, $X(4274)$, $X(4500)$ and $X(4700)$
• Central exclusive production within the Durham model: a review
• Quark mass dependence of the X(3872) binding energy
• Bottomonium Spectrum with Coupled-Channel Effects
• The ratio of decay widths of X(3872) to ${\psi }^{\prime }\gamma$ and $J/\psi \gamma$ as a test of the X(3872) dynamical structure
• Delicate interplay between the D0-D*0, rho0-J/psi, and omega-J/psi channels in the X(3872) resonance
• Exploring the resonances $X(4140)$ and $X(4274)$ through their decay channels
• How Large is the Contribution of Excited Mesons in Coupled-Channel Effects?
• Light-meson masses in an unquenched quark model
• Relativistic theory of string breaking in QCD
• ${\Lambda }_c(2910)$ and ${\Lambda }_c(2940)$ as the conventional baryons dressed with the $D^{\ast }N$ channel
• The $c\bar{c}$ interaction above threshold and the radiative decay $X(3872)\to J/\psi \gamma$
• Theory of hadron decay into baryon-antibaryon final state
• Recoupling Mechanism for exotic mesons and baryons
• Angular momentum coefficients for meson strong decay and unquenched quark models
• The scalar exotic resonances X(3915), X(3960), X(4140)
• Charmonium states in a coupled-channel model
• Diabatic description of charmoniumlike mesons II: mass corrections and strong decay widths
• Heavy Quark Fluorescence
• Topics in Hadron Spectroscopy in 2009
• Remarks on meson loop effects on quark models
• One-pion exchange in the X(3872) revisited
• Scalar mesons in the chiral theory with quark degrees of freedom
• Masses and radiative decay widths of the $D_{s0}^{\ast }(2317)$ and $D_{s1}^{\prime }(2460)$ and their bottom analogs
• The leptonic widths of high $\psi$-resonances in unitary coupled-channel model
• $X(3960)$, $X_0(4140)$, and other compact $cs\bar{c}\bar{s}$ states
• Hindered magnetic dipole transitions between P-wave bottomonia and coupled-channel effects
• The charmed mesons in the region above 3.0 GeV
• ${\chi }_{c1}(2p)$: an overshadowed charmoniumlike resonance
• The Relativistic Cornell-type Mechanism of Exotic Scalar Resonances
• Coupled-channel analysis of the X(3872)
• Proposed mixing between $2P$ and $1F$ wave charmonia
• Coupled-channel meson-meson scattering in the diabatic framework