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arXiv · 2410.15415

Chromopolarizability of charm-beauty quarkonium from $B_c(2S) \rightarrow B_c\pi\pi$ transition

Yun-Hua Chen·Zi-Wei Li
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Abstract

The chromopolarizability of a charm-beauty quarkonium characterizes its interaction with soft gluonic fields and can be probed through heavy quarkonium decays. Using the dispersion theory which considers the $\pi\pi$ final state interaction model-independently, we analyze the transition $B_c(2S) \rightarrow B_c\pi^+\pi^-$ and determine the chromopolarizability $\alpha_{B_c(2S) B_c}=(0.66\pm 0.25)$ GeV$^{-3}$ and the parameter $\kappa =-0.02\pm 0.13$. Our results indicate that the transitional chromopolarizability of the $c\bar{b}$ state lies between the transitional chromopolarizabilities of the $c\bar{c}$ and $b\bar{b}$ states. These findings provide valuable insights into the interactions of charm-beauty quarkonium with light hadrons.

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Yun-Hua Chen, Zi-Wei Li. 2024-10-20. Chromopolarizability of charm-beauty quarkonium from $B_c(2S) \rightarrow B_c\pi\pi$ transition. https://doi.org/10.1088/1572-9494%2Fada87f

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