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

Fuente: arXiv
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Main Authors: Hoffer, Joshua, Eichmann, Gernot, Fischer, Christian S.
Format: Preprint
Published: 2024
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author Hoffer, Joshua
Eichmann, Gernot
Fischer, Christian S.
author_facet Hoffer, Joshua
Eichmann, Gernot
Fischer, Christian S.
contents 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 axialvector states with $J^{P C} = 1^{+-}$ including the $Z_c (3900)$ we find a much more complicated picture depending on the flavour content. We systematically compare our results for the spectrum with existing experimental results and provide predictions for future analyses.
format Preprint
id arxiv_https___arxiv_org_abs_2402_12830
institution arXiv
publishDate 2024
record_format arxiv
spellingShingle Hidden-flavour four-quark states in the charm and bottom region
Hoffer, Joshua
Eichmann, Gernot
Fischer, Christian S.
High Energy Physics - Phenomenology
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 axialvector states with $J^{P C} = 1^{+-}$ including the $Z_c (3900)$ we find a much more complicated picture depending on the flavour content. We systematically compare our results for the spectrum with existing experimental results and provide predictions for future analyses.
title Hidden-flavour four-quark states in the charm and bottom region
topic High Energy Physics - Phenomenology
url https://arxiv.org/abs/2402.12830