Portraits of Charmoniumlike States

Fuente: arXiv
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Autori principali: Liu, Qingyang, Jiang, Xiangyu, Chen, Ying, Shi, Chunjiang, Sun, Wei
Natura: Preprint
Pubblicazione: 2025
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author Liu, Qingyang
Jiang, Xiangyu
Chen, Ying
Shi, Chunjiang
Sun, Wei
author_facet Liu, Qingyang
Jiang, Xiangyu
Chen, Ying
Shi, Chunjiang
Sun, Wei
contents The charm quark density-density correlation is calculated for $1S$ and $1P$ conventional charmonia and $J^{PC}=1^{-+},0^{+-}$ charmoniumlike states from lattice QCD and are interpreted as spatial wave functions of these states with some approximations. The angular distributions of $c\bar{c}$ in conventional charmonia are found to be in accordance with the expectation of two-body systems, while that of the $1^{-+}$ state exhibits an $S$-wave feature. However, the $c\bar{c}$ radial distributions turn out to be strikingly different from the non-relativistic quark model and can be understood by the Dirac theory of two-body bound states. These results provide the first gauge invariant and model-independent three-dimensional portraits of charmonium(like) states.
format Preprint
id arxiv_https___arxiv_org_abs_2505_21193
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle Portraits of Charmoniumlike States
Liu, Qingyang
Jiang, Xiangyu
Chen, Ying
Shi, Chunjiang
Sun, Wei
High Energy Physics - Phenomenology
High Energy Physics - Lattice
The charm quark density-density correlation is calculated for $1S$ and $1P$ conventional charmonia and $J^{PC}=1^{-+},0^{+-}$ charmoniumlike states from lattice QCD and are interpreted as spatial wave functions of these states with some approximations. The angular distributions of $c\bar{c}$ in conventional charmonia are found to be in accordance with the expectation of two-body systems, while that of the $1^{-+}$ state exhibits an $S$-wave feature. However, the $c\bar{c}$ radial distributions turn out to be strikingly different from the non-relativistic quark model and can be understood by the Dirac theory of two-body bound states. These results provide the first gauge invariant and model-independent three-dimensional portraits of charmonium(like) states.
title Portraits of Charmoniumlike States
topic High Energy Physics - Phenomenology
High Energy Physics - Lattice
url https://arxiv.org/abs/2505.21193