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arXiv · 1701.00692

How Large is the Contribution of Excited Mesons in Coupled-Channel Effects?

Yu Lu·Muhammad Naeem Anwar·Bing-Song Zou
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Abstract

We study the excited $B$ mesons' contributions to the coupled-channel effects under the framework of ${}^3P_0$ model for the bottomonium. Contrary to what has been widely accepted, the contributions of $P$ wave $B$ mesons are generally the largest and this result is independent of the potential parameters to some extent. We also push the calculation beyond $B(1P)$ and carefully analyze the contributions of $B(2S)$. A form factor is a key ingredient to suppress the contributions of $B(2S)$ for low lying bottomonia. However, this suppression mechanism is not efficient for highly excited bottomonia such as $\Upsilon(5S)$ and $\Upsilon(6S)$. We give explanations why this difficulty happens to ${}^3P_0$ model and suggest analyzing flux-tube breaking model for the full calculation of coupled-channel effects.

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Yu Lu, Muhammad Naeem Anwar, Bing-Song Zou. 2017-01-03. How Large is the Contribution of Excited Mesons in Coupled-Channel Effects?. https://doi.org/10.1103/physrevd.95.034018

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