Dynamical study of $\mathbf{QQ}-\bar{\mathbf{u}}\bar{\mathbf{d}}$ mesons

Abstract

It has been recently conjectured by Selem and Wilczek \cite{Sel06} the existence of a $ss-[\bar{u}\bar{d}]$ meson due to strong correlations between the two light antiquarks. We make a detailed study of this system within a dynamical quark model which has proven to be successful in reproducing the most important features of low-energy hadron phenomenology. Our results, obtained within a parameter-free calculation, show that the antidiquark component of the $ss\bar{u}\bar{d}$ system indeed entails the stronger attraction, and drives its energy much lower than the $\bar{N}\Xi$ threshold, but still above the $\overline{K^0}{K^{\ast }}^{-}$ or $\overline{{K^{\ast }}^0}{K}^{-}$ thresholds. We have also studied the $cc\bar{u}\bar{d}$ and $bb\bar{u}\bar{d}$ systems. Exotic mesons are only expected to exist in the limit of large mass for the two-quark subsystem, $bb\bar{u}\bar{d}$, since the calculated mass is below the $\overline{B^0}{B^{\ast }}^{-}$ or $\overline{{B^{\ast }}^0}{B}^{-}$ thresholds.

10 pages, 5 tables. Accepted for publication in Phys. Rev. D

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• Doubly heavy tetraquarks in a chiral-diquark picture
• The doubly charmed pseudoscalar tetraquarks $T_{cc;\bar{s}\bar{s}}^{++}$ and $T_{cc;\bar{d}\bar{s}}^{++}$
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• Search for $\bar{b}\bar{b}us$ and $\bar{b}\bar{c}ud$ tetraquark bound states using lattice QCD
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• Semileptonic decays of the scalar tetraquark $Z_{bc;\overline{u}\overline{d}}^0$
• Analysis of the scalar doubly heavy tetraquark states with QCD sum rules
• Exotic hadrons and hadron-hadron interactions in heavy ion collisions
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• Investigation on the bottom analogs of the $T_{cc}^{+}$
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