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Four-quark states with charm quarks in a two-body Bethe-Salpeter approach
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abstract
We study the internal structure of a range of four-quark states with charm quark contributions using a two-body Bethe-Salpeter equation. Thereby, we examine charmonium-like states with hidden charm and quark content $c\bar{c}q\bar{q}$, open-charm states with quark content $cc\bar{q}\bar{q}$ and all-charm states with $cc\bar{c}\bar{c}$. In particular we study the internal competition between meson-meson components and diquark-antidiquark components in the wave functions of these states. Our results indicate that the $\chi_{c1}(3872)$ and the $Z_c(3900)$ are predominantly $D\bar D^*$ states and that the recently discovered open-charm state $T_{cc}^+$ is dominated by an internal $DD^*$ component. In both cases the diquark components are negligible. For the all-charm state $X(6900)$ with as yet unknown quantum numbers we identify candidates in the excitation spectra of $0^+$ and $1^+$ states. Furthermore, our framework serves to provide predictions for further, yet undiscovered open and hidden charm four-quark states.
Forward citations
Cited by 4 Pith papers
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On the nature of fully-charmed four-quark exotic state $X(6900)$ from its photoproduction off nuclei
Nuclear photoproduction of X(6900) off carbon and tungsten is predicted to differ by 10-30% between compact-tetraquark, J/psi-psi(3770) molecular, and hybrid interpretations, potentially allowing future electron-ion c...
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