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arXiv · 2505.21193

Portraits of Charmoniumlike States

Qingyang Liu·Xiangyu Jiang·Ying Chen·Chunjiang Shi·Wei Sun
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Abstract

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.

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Qingyang Liu, Xiangyu Jiang, Ying Chen, Chunjiang Shi, Wei Sun. 2025-05-27. Portraits of Charmoniumlike States. https://arxiv.org/abs/2505.21193

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