The magnetic moment of the $Z_c(3900)$ as an axialvector tetraquark state with QCD sum rules

Abstract

In this article, we assign the $Z_c^{\pm }(3900)$ to be the diquark-antidiquark type axialvector tetraquark state, study its magnetic moment with the QCD sum rules in the external weak electromagnetic field by carrying out the operator product expansion up to the vacuum condensates of dimension 8. We pay special attention to matching the hadron side with the QCD side of the correlation function to obtain solid duality, the routine can be applied to study other electromagnetic properties of the exotic particles.

13 pages, 5 figures

References in corpus (11)

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• Tetraquark state candidates: $Y(4260)$, $Y(4360)$, $Y(4660)$ and $Z_c(4020/4025)$
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• The decay width of the $Z_c(3900)$ as an axialvector tetraquark state in solid quark-hadron duality
• Search for exclusive photoproduction of Z${}_c^{\pm }$(3900) at COMPASS
• Magnetic and quadrupole moments of the $Z_c(3900)$
• Octet baryon magnetic moments from QCD sum rules
• Magnetic dipole moment of $Z_b(10610)$ in light-cone QCD
• Magnetic moment of $X_Q$ state with $J^{PC}=1^{+\pm }$ in light cone QCD sum rules

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• The $XYZ$ states: experimental and theoretical status and perspectives
• Recent Progress in QCD Condensate Evaluations and Sum Rules
• Heavy hadronic molecules with pion exchange and quark core couplings: a guide for practitioners
• The magnetic moment of $P_c(4312)$ as a $\bar{D}{\Sigma }_c$ molecular state
• ${\bar{D}}_s^{(\ast )}{D}^{(\ast )}$ molecular state with $J^P=1^{+}$
• Magnetic dipole moments of the $Z_c(4020{)}^{+}$, $Z_c(4200{)}^{+}$, $Z_{cs}(4000{)}^{+}$ and $Z_{cs}(4220{)}^{+}$ states in light-cone QCD
• Magnetic moments of the spin-$\frac{3}{2}$ singly heavy baryons
• Electromagnetic form factors of the $B_c$-like tetraquarks: molecular and diquark-antidiquark pictures
• Unveiling the Structure of Hidden-Bottom Strange Pentaquarks via Magnetic Moments
• The magnetic moment of $Z_c(3900)$ as an axial-vector molecular state
• The study of exotic state $Z_c^{\pm }(3900)$ decaying to $J/\psi {\pi }^{\pm }$ in the $pp$ collisions at $\sqrt{s}$ = 1.96, 7, and 13 TeV
• Magnetic and quadrupole moments of the $Z_c(4020{)}^{+}$, $Z_c(4050{)}^{+}$, and $Z_c(4600{)}^{+}$ states in the diquark-antidiquark picture
• The electromagnetic multipole moments of the possible charm-strange pentaquarks in light-cone QCD
• Systematic analysis of the form factors of $B_c$ to $P$-wave charmonia and corresponding weak decays