Fully-heavy hadronic molecules $$B_c^{(*)+} B_c^{(*)-}$$ B c ( ∗ ) + B c ( ∗ ) - bound by fully-heavy mesons
Abstract A lot of exotic hadrons have been reported in the past twenty years, which bring us the renaissance of the hadron spectroscopy. Most of them can be understood as hadronic molecules, whose interactions are mainly due to the exchange of light mesons, and specifically, light vector mesons thro...
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SpringerOpen
2025-06-01
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| Series: | European Physical Journal C: Particles and Fields |
| Online Access: | https://doi.org/10.1140/epjc/s10052-025-14364-x |
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| author | Wen-Ying Liu Hua-Xing Chen |
| author_facet | Wen-Ying Liu Hua-Xing Chen |
| author_sort | Wen-Ying Liu |
| collection | DOAJ |
| description | Abstract A lot of exotic hadrons have been reported in the past twenty years, which bring us the renaissance of the hadron spectroscopy. Most of them can be understood as hadronic molecules, whose interactions are mainly due to the exchange of light mesons, and specifically, light vector mesons through the coupled-channel unitary approach within the local hidden-gauge formalism. It is still controversial whether the interaction arising from the exchange of heavy mesons is capable of forming hadronic molecules. We apply the coupled-channel unitary approach to study the fully-heavy $$b {\bar{b}} c {\bar{c}}$$ b b ¯ c c ¯ system, where the exchanged mesons can only be the fully-heavy vector mesons $$J/\psi $$ J / ψ , $$B_c^*$$ B c ∗ , and $$\Upsilon $$ Υ . Especially, the $$J/\psi $$ J / ψ meson is much lighter than the $$B_c^{(*)}$$ B c ( ∗ ) mesons, so the present study can be taken as a general investigation on the question whether a lower-mass fully-heavy meson is able to bind two higher-mass fully-heavy hadrons. Our results suggest the existence of the fully-heavy hadronic molecules $$|B_c^{+} B_c^{-}; J^{PC}=0^{++} \rangle $$ | B c + B c - ; J PC = 0 + + ⟩ , $$|B_c^{*+} B_c^{-} - c.c.; J^{PC}=1^{+-} \rangle $$ | B c ∗ + B c - - c . c . ; J PC = 1 + - ⟩ , and $$|B_c^{*+} B_c^{*-}; J^{PC}=2^{++} \rangle $$ | B c ∗ + B c ∗ - ; J PC = 2 + + ⟩ as well as the possible existence of $$|B_c^{*+} B_c^{-} + c.c.; J^{PC}=1^{++} \rangle $$ | B c ∗ + B c - + c . c . ; J PC = 1 + + ⟩ . These states are potential to be observed in the $$J/\psi \Upsilon $$ J / ψ Υ , $$\mu ^+ \mu ^- J/\psi $$ μ + μ - J / ψ , and $$\mu ^+ \mu ^- \Upsilon $$ μ + μ - Υ channels in future ATLAS, CMS, and LHCb experiments. |
| format | Article |
| id | doaj-art-59e40d949a87465aa7e9f8176faaa02d |
| institution | DOAJ |
| issn | 1434-6052 |
| language | English |
| publishDate | 2025-06-01 |
| publisher | SpringerOpen |
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| series | European Physical Journal C: Particles and Fields |
| spelling | doaj-art-59e40d949a87465aa7e9f8176faaa02d2025-08-20T02:39:44ZengSpringerOpenEuropean Physical Journal C: Particles and Fields1434-60522025-06-018561910.1140/epjc/s10052-025-14364-xFully-heavy hadronic molecules $$B_c^{(*)+} B_c^{(*)-}$$ B c ( ∗ ) + B c ( ∗ ) - bound by fully-heavy mesonsWen-Ying Liu0Hua-Xing Chen1School of Physics, Southeast UniversitySchool of Physics, Southeast UniversityAbstract A lot of exotic hadrons have been reported in the past twenty years, which bring us the renaissance of the hadron spectroscopy. Most of them can be understood as hadronic molecules, whose interactions are mainly due to the exchange of light mesons, and specifically, light vector mesons through the coupled-channel unitary approach within the local hidden-gauge formalism. It is still controversial whether the interaction arising from the exchange of heavy mesons is capable of forming hadronic molecules. We apply the coupled-channel unitary approach to study the fully-heavy $$b {\bar{b}} c {\bar{c}}$$ b b ¯ c c ¯ system, where the exchanged mesons can only be the fully-heavy vector mesons $$J/\psi $$ J / ψ , $$B_c^*$$ B c ∗ , and $$\Upsilon $$ Υ . Especially, the $$J/\psi $$ J / ψ meson is much lighter than the $$B_c^{(*)}$$ B c ( ∗ ) mesons, so the present study can be taken as a general investigation on the question whether a lower-mass fully-heavy meson is able to bind two higher-mass fully-heavy hadrons. Our results suggest the existence of the fully-heavy hadronic molecules $$|B_c^{+} B_c^{-}; J^{PC}=0^{++} \rangle $$ | B c + B c - ; J PC = 0 + + ⟩ , $$|B_c^{*+} B_c^{-} - c.c.; J^{PC}=1^{+-} \rangle $$ | B c ∗ + B c - - c . c . ; J PC = 1 + - ⟩ , and $$|B_c^{*+} B_c^{*-}; J^{PC}=2^{++} \rangle $$ | B c ∗ + B c ∗ - ; J PC = 2 + + ⟩ as well as the possible existence of $$|B_c^{*+} B_c^{-} + c.c.; J^{PC}=1^{++} \rangle $$ | B c ∗ + B c - + c . c . ; J PC = 1 + + ⟩ . These states are potential to be observed in the $$J/\psi \Upsilon $$ J / ψ Υ , $$\mu ^+ \mu ^- J/\psi $$ μ + μ - J / ψ , and $$\mu ^+ \mu ^- \Upsilon $$ μ + μ - Υ channels in future ATLAS, CMS, and LHCb experiments.https://doi.org/10.1140/epjc/s10052-025-14364-x |
| spellingShingle | Wen-Ying Liu Hua-Xing Chen Fully-heavy hadronic molecules $$B_c^{(*)+} B_c^{(*)-}$$ B c ( ∗ ) + B c ( ∗ ) - bound by fully-heavy mesons European Physical Journal C: Particles and Fields |
| title | Fully-heavy hadronic molecules $$B_c^{(*)+} B_c^{(*)-}$$ B c ( ∗ ) + B c ( ∗ ) - bound by fully-heavy mesons |
| title_full | Fully-heavy hadronic molecules $$B_c^{(*)+} B_c^{(*)-}$$ B c ( ∗ ) + B c ( ∗ ) - bound by fully-heavy mesons |
| title_fullStr | Fully-heavy hadronic molecules $$B_c^{(*)+} B_c^{(*)-}$$ B c ( ∗ ) + B c ( ∗ ) - bound by fully-heavy mesons |
| title_full_unstemmed | Fully-heavy hadronic molecules $$B_c^{(*)+} B_c^{(*)-}$$ B c ( ∗ ) + B c ( ∗ ) - bound by fully-heavy mesons |
| title_short | Fully-heavy hadronic molecules $$B_c^{(*)+} B_c^{(*)-}$$ B c ( ∗ ) + B c ( ∗ ) - bound by fully-heavy mesons |
| title_sort | fully heavy hadronic molecules b c b c b c ∗ b c ∗ bound by fully heavy mesons |
| url | https://doi.org/10.1140/epjc/s10052-025-14364-x |
| work_keys_str_mv | AT wenyingliu fullyheavyhadronicmoleculesbcbcbcbcboundbyfullyheavymesons AT huaxingchen fullyheavyhadronicmoleculesbcbcbcbcboundbyfullyheavymesons |