The Spectrum of $P$-Wave Hidden-Charm Exotic Mesons in the Diquark Model

Abstract

We study the fine structure in the spectrum of known and predicted negative-parity hidden-charm exotic meson states, which comprise the lowest $P$-wave multiplet in the dynamical diquark model. Starting with a form previously shown to successfully describe the $S$-wave states, we develop a 5-parameter Hamiltonian that includes spin-orbit and tensor terms. After discussing the experimental status of the observed $J^{PC}=1^{--}$ states $Y$ with respect to masses and decay modes (classified by eigenvalues of heavy-quark spin), we note a number of inconsistencies between measurements from different experiments that complicate a unique determination of the spectrum. Outlining a variety of scenarios for interpreting the $Y$ data, we perform fits to each one, obtaining results that demonstrate differing possibilities for the $P$-wave spectra. Choosing one of these fits for illustration, we predict masses for all 28 isomultiplets in this $1P$ multiplet, compare the results to tantalizing hints in the data, and discuss the rich discovery potential for new states.

15 pages, 1 LaTeX figures. Small revisions to the Reference section. Level diagram has now been included as a figure

References in corpus (16)

• Multiquark Resonances
• Pentaquark and Tetraquark states
• Exotics: Heavy Pentaquarks and Tetraquarks
• Observation of the resonant character of the $Z(4430{)}^{-}$ state
• Measurement of e^+e^- to pi^+pi^-J/psi Cross Section via Initial State Radiation at Belle
• The Z(4430) and a New Paradigm for Spin Interactions in Tetraquarks
• Excited and exotic charmonium spectroscopy from lattice QCD
• Precise measurement of the $e^{+}{e}^{-}\to {\pi }^{+}{\pi }^{-}J/\psi$ cross section at center-of-mass energies from 3.77 to 4.60 GeV
• A New Picture for the Formation and Decay of the Exotic $XYZ$ Mesons
• Employing spin symmetry to disentangle different models for the XYZ states
• Cross section measurements of $e^{+}{e}^{-}\to \omega {\chi }_{c0}$ from $\sqrt{s}=$4.178 to 4.278 GeV
• The Dynamical Diquark Model: First Numerical Results
• Spectroscopy of Exotic Hadrons Formed from Dynamical Diquarks
• Model-independent observation of exotic contributions to $B^0\to J/\psi K^{+}{\pi }^{-}$ decays
• Observation of a vector charmoniumlike state in $e^{+}{e}^{-}\to D_s^{+}{D}_{s1}(2536{)}^{-}+c.c.$
• Analysis of the vector tetraquark states with P-waves between the diquarks and antidiquarks via the QCD sum rules

Cited by in corpus (18)

• The Simple Spectrum of $c\bar{c}c\bar{c}$ States in the Dynamical Diquark Model
• Spectrum of the Hidden-Bottom and the Hidden-Charm/Strange Exotics in the Dynamical Diquark Model
• Hidden charm tetraquark states in a diquark model
• Study of the process $e^{+}{e}^{-}\to {\pi }^0{\pi }^{0}J/\psi$ and neutral charmonium-like state $Z_c(3900{)}^0$
• Fine Structure of Pentaquark Multiplets in the Dynamical Diquark Model
• Spectrum of $cc\bar{b}\bar{b}$, $bc\bar{c}\bar{c}$, and $bc\bar{b}\bar{b}$ Tetraquark States in the Dynamical Diquark Model
• Study of the resonance structures in $e^{+}{e}^{-}\to {\pi }^{+}{\pi }^{-}J/\psi$ process
• Analysis of the pseudoscalar hidden-charm tetraquark states with the QCD sum rules
• Exotic Hadrons from Scattering in the Diabatic Dynamical Diquark Model
• Doubly charmed hexaquarks in the diquark picture
• Radiative Transitions of Charmoniumlike Exotics in the Dynamical Diquark Model
• $Y(4626)$ as a $P$-wave $[cs][\bar{c}\bar{s}]$ tetraquark state
• $\lambda$ and $\rho$ Regge trajectories for hidden bottom and charm tetraquarks $(Qq)(\bar{Q}{\bar{q}}^{\prime })$
• The ground states of hidden-charm tetraquarks and their radial excitations
• Three-body strong decays of the $Y(4230)$ via the light-cone QCD sum rules
• Spectrum of Hidden-Charm, Open-Strange Exotics in the Dynamical Diquark Model
• Partial Wave Analysis of $e^{+}{e}^{-}\to {\pi }^{+}{\pi }^{-}J/\psi$ and Cross Section Measurement of $e^{+}{e}^{-}\to {\pi }^{\pm }{Z}_c(3900{)}^{\mp }$ from 4.1271 to 4.3583 GeV
• Looking for a vector charmonium-like state $Y$ in $e^{+}{e}^{-}\to \bar{D}{D}_1(2420)+c.c.$