Decay properties of the $Z_c(3900)$ through the Fierz rearrangement

Abstract

We systematically construct all the tetraquark currents/operators of $J^{PC}=1^{+-}$ with the quark configurations $[cq][\bar{c}\bar{q}]$, $[\bar{c}q][\bar{q}c]$, and $[\bar{c}c][\bar{q}q]$ ($q=u/d$), and derive their relations through the Fierz rearrangement of the Dirac and color indices. Using the transformations of $[qc][\bar{q}\bar{c}]\to [\bar{c}c][\bar{q}q]$ and $[\bar{c}q][\bar{q}c]$, we study decay properties of the $Z_c(3900)$ as a compact tetraquark state; while using the transformation of $[\bar{c}q][\bar{q}c]\to [\bar{c}c][\bar{q}q]$, we study its decay properties as a hadronic molecular state.

20 pages, 5 figures, 4 tables, to be published in CPC

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Cited by in corpus (7)

• An updated review of the new hadron states
• Strong decays of fully-charm tetraquarks into di-charmonia
• Hadronic molecules in B decays
• Hidden-charm pentaquark states through the current algebra: From their productions to decays
• Decay behaviors of the fully-bottom and fully-charm tetraquark states
• Decay properties of the $X(3872)$ through the Fierz rearrangement
• Light meson emissions of the selected charmonium-like states within compact tetraquark configurations