Hidden-flavor four-quark states in the charm and bottom region

Hoffer, Joshua; Eichmann, Gernot; Fischer, Christian S.

doi:10.1103/PhysRevD.109.074025

Title: Hidden-flavor four-quark states in the charm and bottom region

Journal Article · 21 April 2024 · Physical Review. D.

DOI: https://doi.org/10.1103/PhysRevD.109.074025 · OSTI ID:2339909

; Eichmann, Gernot;

We discuss the spectrum and the internal composition of ground and excited four-quark states in the charm and bottom energy region. To this end we extend previous calculations within the framework of the relativistic four-body Faddeev-Yakubovsky equation to include quantum numbers with $J^{P C} = 0^{+ +}, 0^{- +}, 1^{- -}, 1^{+ -}$ and $1^{+ +}$ and study their internal composition in terms of heavy-light meson pairs, hadroquarkonia and diquark-antidiquark clusters. We observe similar patterns in the charm and bottom energy region with different compositions of the four-quark states depending on $J^{P C}$ quantum numbers. Most notably, we find that all states with $C \cdot P = + 1$ are dominated by heavy-light meson contributions, whereas for axial-vector states with $J^{P C} = 1^{+ -}$ including the $Z_{c} (3900)$ we find a much more complicated picture depending on the flavor content. We systematically compare our results for the spectrum with existing experimental results and provide predictions for future analyses. Published by the American Physical Society 2024

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Sponsoring Organization:: USDOE

Grant/Contract Number:: SC0023598

OSTI ID:: 2339909

Journal Information:: Physical Review. D., Journal Name: Physical Review. D. Journal Issue: 7 Vol. 109; ISSN PRVDAQ; ISSN 2470-0010

Publisher:: American Physical SocietyCopyright Statement

Country of Publication:: United States

Language:: English

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