{"paper":{"title":"Existence of the $DD^*\\bar{K}^*$ and $BB^*K^*$ three-body molecular states","arxiv_id":"2602.12010","primary_cat":"hep-ph","submitted_at":"2026-02-12T14:40:28+00:00","version_compiled":"v2"},"notice":"Every quoted sentence is the authors' text from the arXiv listing abstract. Labels and probabilities are the outputs of classifier-1.13.0 on the question bank abstract-p1-20260923, exactly as returned. No sentence in this record was written by a language model.","schema":"pith.compiled-record/v0","status":"compiled","abstract":{"source":"arXiv listing abstract v2","sentences":[{"i":0,"p":0.99,"id":"s0","own":true,"role":"contribution","text":"We investigate the existence of the three-body molecular state composed of $DD^*\\bar{K}^*$ within the one-boson-exchange (OBE) model.","hedge":{"p":0.87,"label":"unclear"},"own_p":0.91,"main_claim_p":0.03,"quantitative":false,"quantitative_p":0.04,"role_probabilities":{"gap":0.0,"method":0.0,"result":0.0,"background":0.01,"limitation":0.0,"future_work":0.0,"contribution":0.99,"interpretation":0.0}},{"i":1,"p":0.53,"id":"s1","own":false,"role":"background","text":"A major challenge is that while the pseudoscalar-meson couplings are well-determined, the couplings for scalar- and vector-meson exchanges render significant model dependence.","hedge":{"p":1.0,"label":"asserted"},"own_p":0.11,"main_claim_p":0.02,"quantitative":false,"quantitative_p":0.1,"role_probabilities":{"gap":0.22,"method":0.0,"result":0.0,"background":0.53,"limitation":0.25,"future_work":0.0,"contribution":0.0,"interpretation":0.0}},{"i":2,"p":0.82,"id":"s2","own":true,"role":"method","text":"To ensure the reliability of our predictions and reduce model dependence, we recalibrate the coupling constants of the OBE model.","hedge":{"p":0.94,"label":"asserted"},"own_p":0.94,"main_claim_p":0.02,"quantitative":false,"quantitative_p":0.04,"role_probabilities":{"gap":0.0,"method":0.82,"result":0.0,"background":0.0,"limitation":0.0,"future_work":0.0,"contribution":0.18,"interpretation":0.0}},{"i":3,"p":0.97,"id":"s3","own":true,"role":"method","text":"We treat the pole position of $Z_c(3900)$, or equivalently the scalar $\\sigma$-exchange coupling constant, as the only unknown parameter.","hedge":{"p":0.99,"label":"asserted"},"own_p":0.83,"main_claim_p":0.03,"quantitative":false,"quantitative_p":0.08,"role_probabilities":{"gap":0.0,"method":0.97,"result":0.0,"background":0.0,"limitation":0.0,"future_work":0.0,"contribution":0.03,"interpretation":0.0}},{"i":4,"p":0.97,"id":"s4","own":true,"role":"method","text":"The coupling constants for the vector $\\rho$- and $\\omega$-exchanges are determined by the pole positions of the well established states $X(3872)$ and $T_{cc}(3875)$.","hedge":{"p":1.0,"label":"asserted"},"own_p":0.76,"main_claim_p":0.02,"quantitative":false,"quantitative_p":0.23,"role_probabilities":{"gap":0.0,"method":0.97,"result":0.0,"background":0.0,"limitation":0.0,"future_work":0.0,"contribution":0.03,"interpretation":0.0}},{"i":5,"p":0.93,"id":"s5","own":true,"role":"result","text":"We demonstrate that these parameter sets also successfully describe the $T_{cs0}(2870)$ without further tuning.","hedge":{"p":1.0,"label":"asserted"},"own_p":0.9,"main_claim_p":0.05,"quantitative":false,"quantitative_p":0.11,"role_probabilities":{"gap":0.0,"method":0.02,"result":0.93,"background":0.0,"limitation":0.0,"future_work":0.0,"contribution":0.03,"interpretation":0.01}},{"i":6,"p":1.0,"id":"s6","own":true,"role":"result","text":"For the three-body system, our results indicate that an $I\\left(J^P\\right)=1 / 2\\left(0^{-}\\right)$ three-body molecular bound state exists when $Z_c(3900)$ is a virtual state located within approximately $-10~\\text{MeV}$ of the $D\\bar{D}^*$ threshold.","hedge":{"p":0.76,"label":"hedged_possibility"},"own_p":0.94,"main_claim_p":0.7,"quantitative":true,"quantitative_p":0.98,"role_probabilities":{"gap":0.0,"method":0.0,"result":1.0,"background":0.0,"limitation":0.0,"future_work":0.0,"contribution":0.0,"interpretation":0.0}},{"i":7,"p":0.66,"id":"s7","own":true,"role":"result","text":"Furthermore, we extend our analysis to the complex energy plane using the complex scaling method to search for molecular resonances, though no evidence of resonances is found in considered channels.","hedge":{"p":0.99,"label":"asserted"},"own_p":0.96,"main_claim_p":0.06,"quantitative":false,"quantitative_p":0.08,"role_probabilities":{"gap":0.0,"method":0.22,"result":0.66,"background":0.0,"limitation":0.0,"future_work":0.0,"contribution":0.12,"interpretation":0.0}},{"i":8,"p":0.98,"id":"s8","own":true,"role":"contribution","text":"We also apply this formalism to the bottom analog $BB^*K^*$ system.","hedge":{"p":0.92,"label":"asserted"},"own_p":0.93,"main_claim_p":0.03,"quantitative":false,"quantitative_p":0.06,"role_probabilities":{"gap":0.0,"method":0.02,"result":0.0,"background":0.0,"limitation":0.0,"future_work":0.0,"contribution":0.98,"interpretation":0.0}},{"i":9,"p":1.0,"id":"s9","own":true,"role":"result","text":"In this sector, the conditions for the existence of a three-body bound state are more relaxed, as a $Z_c(3900)$ virtual state located within $-25~\\text{MeV}$ below the threshold suffices, although three-body molecular resonances remain absent.","hedge":{"p":0.89,"label":"asserted"},"own_p":0.94,"main_claim_p":0.14,"quantitative":true,"quantitative_p":0.99,"role_probabilities":{"gap":0.0,"method":0.0,"result":1.0,"background":0.0,"limitation":0.0,"future_work":0.0,"contribution":0.0,"interpretation":0.0}},{"i":10,"p":1.0,"id":"s10","own":false,"role":"future_work","text":"We suggest that future experiments precisely measure the pole position of $Z_c(3900)$ or search for the three-body bound state in $DD\\bar{K}\\pi\\pi$ and $DD\\bar{K}$ channels, as these efforts would mutually illuminate the nature of the associated 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