Triply charmed dibaryons in the one boson exchange model
Ya-Wen Pan, Ming-Zhu Liu, Li-Sheng Geng
Abstract
The pentaquark states, ${P}_{c}(4312)$, ${P}_{c}(4440)$, and ${P}_{c}(4450)$, can be nicely arranged into a multiplet of seven molecules of ${\overline{D}}^{(*)}{\mathrm{\ensuremath{\Sigma}}}_{c}^{(*)}$ dictated by heavy quark spin symmetry, while the ${\mathrm{\ensuremath{\Xi}}}_{cc}^{(*)}{\mathrm{\ensuremath{\Sigma}}}_{c}^{(*)}$ system can be related to the ${\overline{D}}^{(*)}{\mathrm{\ensuremath{\Sigma}}}_{c}^{(*)}$ system via heavy antiquark diquark symmetry. In this work, we employ the one-boson exchange model to study the interactions between ${\mathrm{\ensuremath{\Xi}}}_{cc}^{(*)}$ and ${\mathrm{\ensuremath{\Sigma}}}_{c}^{(*)}$ with constraints from the pentaquark system. We show that a multiplet of ten triply charmed dibaryons emerge naturally in the isospin-$1/2$ sector, while only three appear in the isospin-$3/2$ sector. In addition, we study their heavy quark flavor partners. Ten triply bottom diybaryons are found in the isospin-$1/2$ sector, while only nine are likely in the isospin-$3/2$ sector. Furthermore, the predicted mass splitting between the ${0}^{+}$ ${\mathrm{\ensuremath{\Xi}}}_{cc}{\mathrm{\ensuremath{\Sigma}}}_{c}$ state and its ${1}^{+}$ counterpart is found to be consistent with the correlation implied by heavy antiquark diquark symmetry recently pointed out in Pan et al..