Systematic study of $Z_c^{+}$ family from quark model's perspective

Abstract

Inspired by the present experimental status of charged charmonium-like states $Z_c^{+}$, the tetraquark states $[cu][\bar{c}\bar{d}]$ are systematically studied in a color flux-tube model with a multi-body confinement potential. The investigation indicates that charged charmonium-like states $Z_c^{+}(3900)$ or $Z_c^{+}(3885)$, $Z_c^{+}(3930)$, $Z_c^{+}(4020)$ or $Z_c^{+}(4025)$, $Z_1^{+}(4050)$, $Z_2^{+}(4250)$, and $Z_c^{+}(4200)$ can be uniformly described as tetraquark states $[cu][\bar{c}\bar{d}]$ with the quantum numbers $n^{2S+1}{L}_J$ and $J^P$ of $1^3{S}_1$ and $1^{+}$, $2^3{S}_1$ and $1^{+}$, $1^5{S}_2$ and $2^{+}$, $1^3{P}_1$ and $1^{-}$, $1^5{D}_1$ and $1^{+}$, and $1^3{D}_1$ and $1^{+}$, respectively. The predicted lowest charged tetraquark state $[cu][\bar{c}\bar{d}]$ with $0^{+}$ and $1^1{S}_0$ has a energy of $3780\pm 10$ MeV in the model. The tetraquark states are compact three-dimensional spatial configurations similar to a rugby ball, the higher orbital angular momentum $L$ between the diquark $[cu]$ and antidiquark $[\bar{c}\bar{d}]$, the more prolate of the states. The multibody color flux-tube, a collective degree of freedom, plays an important role in the formation of those charge tetraquark states. However, the two heavier charged states $Z_c^{+}(4430)$ and $Z_c^{+}(4475)$ can not be explained as tetraquark states $[cu][\bar{c}\bar{d}]$ in this model approach.

6 pages, 5 tables

References in corpus (10)

• Observation of a resonance-like structure in the pi^+- psi' mass distribution in exclusive B-->K pi^+- psi' decays
• Observation of the resonant character of the $Z(4430{)}^{-}$ state
• Constituent quark model study of the meson spectra
• Observation of a new charged charmoniumlike state in B -> J/psi K pi decays
• $Z_b$ and $Z_c$ Exotic States as Coupled Channel Cusps
• Could the near-threshold $XYZ$ states be simply kinematic effects?
• Employing spin symmetry to disentangle different models for the XYZ states
• Zc(4200)+ decay width as a charmonium-like tetraquark state
• About the Casimir scaling hypothesis
• Molecular Interpretation of the Supercharmonium State Z(4475)

Cited by in corpus (22)

• The hidden-charm pentaquark and tetraquark states
• Multiquark Resonances
• Pentaquark and Tetraquark states
• Heavy-Quark QCD Exotica
• QCD Sum Rules Approach to the $X,Y$ and $Z$ States
• Heavy hadronic molecules with pion exchange and quark core couplings: a guide for practitioners
• Study of charmonium-like and fully-charm tetraquark spectroscopy
• Hidden charm tetraquark states in a diquark model
• Hidden charmed states and multibody color flux-tube dynamics
• The strong decay patterns of $Z_c$ and $Z_b$ states in the relativized quark model
• Heavy pentaquark states and a novel color structure
• The hidden-charm strong decays of the $Z_c$ states
• $Z_c(4430)$ and $Z_c(4200)$ as triangle singularities
• Investigation of $cs\bar{c}\bar{s}$ tetraquark in the chiral quark model
• Triangle singularities in ${\bar{B}}^0\to {\chi }_{c1}{K}^{-}{\pi }^{+}$ relevant to $Z_1(4050)$ and $Z_2(4250)$
• Recoupling Mechanism for exotic mesons and baryons
• Production of $Z_{cs}$ in $B$ and $B_s$ decay
• Studying the $D_{1}D$ molecule in the Bethe-Salpeter equation approach
• The spin parity of $Z_c^{-}$(4100), $Z_1^{+}$(4050) and $Z_2^{+}$(4250)
• Determination of parameters of a potential model for tetraquark study by studying all S-wave mesons
• Observation and investigation of the $T_{c\bar{c}1}(4430{)}^{+}$ structure in $B^{+}\to \psi (2S)K_{\text{S}}^0{\pi }^{+}$ decays
• Exotic hadrons associated with $b$-quark