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The goal of the present work is to obtain a reliable estimate of the masses of the ground and radially excited states of fully-heavy tetraquark systems. In order to do this, we use a nonrelativistic model of tetraquarks which are assumed to be compact and consist of diquark-antidiquark pairs. This nonrelativistic model is composed of Hulthen potential, a linear confining potential and spin-spin interaction. We computed ground, first, and second radially excited cccc and bb bb tetraquark masses. It was found that predicted masses of ground states of cccc and bb bb tetraquarks are significantly higher than the thresholds of the fall-apart decays to the lowest allowed two-meson states. These states should be broad and are thus difficult to observe experimentally. First radially excited states are considerably lower than their corresponding (2S-2S) two-meson thresholds. We hope that our study may be helpful to the experimental search for ground and excited cccc and bb bb tetraquark states.
The goal of the present work is to obtain a reliable estimate of the masses of the ground and radially excited states of fully-heavy tetraquark systems. In order to do this, we use a nonrelativistic model of tetraquarks which are assumed to be compact and consist of diquark-antidiquark pairs. This nonrelativistic model is composed of Hulthen potential, a linear confining potential and spin-spin interaction. We computed ground, first, and second radially excited cccc and bb bb tetraquark masses. It was found that predicted masses of ground states of cccc and bb bb tetraquarks are significantly higher than the thresholds of the fall-apart decays to the lowest allowed two-meson states. These states should be broad and are thus difficult to observe experimentally. First radially excited states are considerably lower than their corresponding (2S-2S) two-meson thresholds. We hope that our study may be helpful to the experimental search for ground and excited cccc and bb bb tetraquark states.
The three pentaquark states, $$P_c(4312)$$ P c ( 4312 ) , $$P_c(4440)$$ P c ( 4440 ) and $$P_c(4457)$$ P c ( 4457 ) , discovered by the LHCb Collaboration in 2019, can be arranged into a complete heavy quark spin symmetry multiplet of hadronic molecules of $$\bar{D}^{(*)}\Sigma _{c}^{(*)}$$ D ¯ ( ∗ ) Σ c ( ∗ ) . In the heavy quark mass limit, the $$\Sigma _{c}^{(*)}$$ Σ c ( ∗ ) baryons can be related to the doubly charmed tetraquark states of isospin 1, i.e., $$T_{\bar{c}\bar{c}}^{(*)}$$ T c ¯ c ¯ ( ∗ ) ( $$T_{\bar{c}\bar{c}}^{0}$$ T c ¯ c ¯ 0 , $$T_{\bar{c}\bar{c}}^{1}$$ T c ¯ c ¯ 1 , $$T_{\bar{c}\bar{c}}^{2}$$ T c ¯ c ¯ 2 ), via heavy antiquark diquark symmetry, which dictates that the $$\bar{D}^{(*)}\Sigma _{c}^{(*)}$$ D ¯ ( ∗ ) Σ c ( ∗ ) interactions are the same as the $$\bar{D}^{(*)}T_{\bar{c}\bar{c}}^{(*)}$$ D ¯ ( ∗ ) T c ¯ c ¯ ( ∗ ) interactions up to heavy antiquark diquark symmetry breakings. In this work, we employ the contact-range effective field theory to systematically study the $$\bar{D}^{(*)}T_{\bar{c}\bar{c}}^{(*)}$$ D ¯ ( ∗ ) T c ¯ c ¯ ( ∗ ) systems, and we show the existence of a complete heavy quark spin symmetry multiplet of hadronic molecules composed of a doubly charmed tetraquark state and a charmed meson. These are a new kind of hadronic molecules and, if discovered, can lead to a better understanding of the many exotic hadrons discovered so far. In addition, we summarise the triply charmed hexaquark states formed by different combinations of hadrons. In particular, we show that $$\bar{\Omega }_{ccc}{p}$$ Ω ¯ ccc p system can bind by the Coulomb force, which is analogous to a hydrogenlike atom.
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