Covalent hadronic molecules induced by shared light quarks

Abstract

After examining the Feynman diagrams corresponding to the ${\bar{D}}^{(\ast )}{\Sigma }_c^{(\ast )}$, ${\bar{D}}^{(\ast )}{\Lambda }_c$, $D^{(\ast )}{\bar{K}}^{\ast }$, and $D^{(\ast )}{\bar{D}}^{(\ast )}$ hadronic molecular states, we propose a possible binding mechanism induced by shared light quarks. This mechanism is similar to the covalent bond in chemical molecules induced by shared electrons. We use the method of QCD sum rules to calculate its corresponding light-quark-exchange diagrams, and the obtained results indicate a model-independent hypothesis: the light-quark-exchange interaction is attractive when the shared light quarks are totally antisymmetric so that obey the Pauli principle. We build a toy model with four parameters to formulize this picture, and estimate binding energies of some possibly-existing covalent hadronic molecules. A unique feature of this picture is that binding energies of the $(I)J^P=(0)1^{+}$ $D{\bar{B}}^{\ast }/D^{\ast }\bar{B}$ hadronic molecules are much larger than those of the $(I)J^P=(0)1^{+}$ $D{D}^{\ast }/\bar{B}{\bar{B}}^{\ast }$ ones, while the $(I)J^P=(1/2)1/2^{+}$ $\bar{D}{\Sigma }_c/\bar{D}{\Sigma }_b/B{\Sigma }_c/B{\Sigma }_b$ hadronic molecules have similar binding energies.

Comments: 28 pages, 16 figures, 2 tables, revised version to be published in Commun. Theor. Phys