Spectroscopy of the hidden-charm $[qc][\bar{q}\bar{c}]$ and $[sc][\bar{s}\bar{c}]$ tetraquarks

Abstract

We calculate the spectrum of $q\bar{q}c\bar{c}$ and $s\bar{s}c\bar{c}$ tetraquarks, where $q$, $s$ and $c$ stand for light ($u,d$), strange and charm quarks, respectively, in a relativized diquark model, characterized by one-gluon-exchange (OGE) plus confining potential. In the diquark model, a $q\bar{q}c\bar{c}$ ($s\bar{s}c\bar{c}$) tetraquark configuration is made up of a heavy-light diquark, $qc$ ($sc$), and anti-diquark, $\bar{q}\bar{c}$ ($\bar{s}\bar{c}$). According to our results, 13 charmonium-like observed states can be accommodated in the tetraquark picture, both in the hidden-charm ($q\bar{q}c\bar{c}$) and hidden-charm hidden-strange ($s\bar{s}c\bar{c}$) sectors.

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