Do $c\bar{c}n\bar{n}$ bound states exist?

Abstract

The four--quark system $c\bar{c}n\bar{n}$ is studied in the framework of the constituent quark model. Using different types of quark-quark potentials, we solve the four--body Schrödinger equation by means of the hyperspherical harmonic formalism. Exploring the low laying $J^{PC}$ states for different isospin configurations no four-quark bound states have been found. Of particular interest is the possible four-quark structure of the X(3872). We rule out the possibility that this particle is a compact tetraquark system, unless additional correlations, either in the form of diquarks or at the level of the interacting potential, not considered in simple quark models do contribute.

30 pages, 2 figures. Accepted for publication in Phys. Rev. D

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• Pentaquark and Tetraquark states
• Exotic Hadrons with Heavy Flavors -X, Y, Z and Related States-
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• Phenomenology of $P_c(4380{)}^{+}$, $P_c(4450{)}^{+}$ and related states
• Realistic calculations of Kbar-N-N, Kbar-N-N-N, and Kbar-Kbar-N-N quasibound states
• Exotic meson-meson molecules and compact four--quark states
• Possible pentaquarks with heavy quarks
• X(3872) and Y(4140) using diquark-antidiquark operators with lattice QCD
• Exotic mesons with double charm and bottom flavor
• Interpreting $Z_c(3900)$ and $Z_c(4025)/Z_c(4020)$ as charged tetraquark states
• The structure of pentaquarks $P_c^{+}$ in the chiral quark model
• Charmonium spectroscopy above thresholds
• Molecular structures in charmonium spectrum: The $XYZ$ puzzle
• Production of doubly charmed tetraquarks with exotic color configurations in electron-positron collisions
• Systematic studies of charmonium-, bottomonium-, and $B_c$-like tetraquark states
• Probabilities in nonorthogonal basis: Four--quark systems
• X(3872) and the bound state problem of $D^0{\bar{D}}^{\ast 0}$ (${\bar{D}}^0{D}^{\ast 0}$) in a chiral quark model
• Tetraquark Spectroscopy: A Symmetry Analysis
• Spectroscopy of all charm tetraquark states
• Hidden charmed states and multibody color flux-tube dynamics
• Dibaryons with two strange quarks and total spin zero in a constituent quark model
• Heavy hadron spectroscopy: a quark model perspective
• Unraveling the pattern of the $XYZ$ mesons
• Four-quark stability
• QCD quark cyclobutadiene and light tetraquark spectrum
• The role of electromagnetic interaction in the $X(3872)$ and its analogs
• Masses of tetraquark states in the hidden charm sector above $D-D^{\ast }$ threshold
• Analysis of the vector meson transitions among the heavy quarkonium states
• Exotic c c-bar Mesons
• Quark-model hadron structure
• On the existence of exotic and non-exotic multiquark meson states
• On the nature of the X(3872)
• On the Origin of the $XYZ$ Mesons
• On the origin of the narrow peak and the isospin symmetry breaking of the $X$(3872)