Spectroscopy ofq3q¯3states in quark model and baryon-antibaryon enhancements

Abstract

We study the mass spectrum of the ${q}^{3}{\overline{q}}^{3}$ mesons both from the common $S$ wave quark model with colormagnetic interactions, and from the quark model with triquark correlations. Two cluster configurations $({q}^{3})\ensuremath{-}({\overline{q}}^{3})$ and $({q}^{2}\overline{q})\ensuremath{-}(q{\overline{q}}^{2})$ are considered. In the spectrums of both models, we find rather stable states which have the same quantum numbers as the particle resonances which are corresponding to the $p\overline{p}$ enhancement, $p\overline{\ensuremath{\Lambda}}$ enhancement, and $\ensuremath{\Lambda}\overline{\ensuremath{\Lambda}}$ enhancement with spin-$\mathbf{0}$ or $\mathbf{1}$. This implies these enhancements are not experimental artifacts. The color-spin-flavor structures of $p\overline{p}$, $p\overline{\ensuremath{\Lambda}}$, and $\ensuremath{\Lambda}\overline{\ensuremath{\Lambda}}$ enhancements are revealed. It has been found that, if there exists quark correlation in the baryonium, the $p\overline{p}$ enhancement as a baryonium is mainly a state of $|{\mathbf{120}}_{cs},{\overline{\mathbf{6}}}_{c},\mathbf{2},{\mathbf{3}}_{f}\ensuremath{\bigoplus}{\overline{\mathbf{6}}}_{f}⟩|{\overline{\mathbf{120}}}_{cs},{\mathbf{6}}_{c},\mathbf{2},{\overline{\mathbf{3}}}_{f}\ensuremath{\bigoplus}{\mathbf{6}}_{f}⟩$ in the configuration $({q}^{2}\overline{q})\ensuremath{-}(q{\overline{q}}^{2})$, with few mixtures of $|{\mathbf{70}}_{cs},{\mathbf{8}}_{c},\mathbf{2},{\mathbf{8}}_{f}⟩|{\overline{\mathbf{70}}}_{cs},{\mathbf{8}}_{c},\mathbf{2},{\mathbf{8}}_{f}⟩$ in the configuration $({q}^{3})\ensuremath{-}({\overline{q}}^{3})$, where the subscripts $cs$, $c$, and $f$ indicate colorspin, color, and flavor, respectively. The existence of spin-$\mathbf{1}$ $\ensuremath{\Lambda}\overline{\ensuremath{\Lambda}}$, $p\overline{\ensuremath{\Lambda}}$, $p\overline{p}$ enhancements is predicted.