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Bottomonia in an unquenched quark model

Ru-Hui Ni1,*, Qian Deng1, Jia-Jun Wu2,3,†, and Xian-Hui Zhong1,4,‡

  • *Contact author: niruhui@ucas.ac.cn
  • †Contact author: wujiajun@ucas.ac.cn
  • ‡Contact author: zhongxh@hunnu.edu.cn

Phys. Rev. D 111, 114027 – Published 23 June, 2025

DOI: https://doi.org/10.1103/6x3t-x15s

Abstract

The bottomonium spectrum is systematically studied within an unquenched quark model. Based on a good description of both the masses and widths for the well-established states, we further give predictions for the higher S-, P-, and D-wave bottomonium states up to a mass region of ∼11.3  GeV. For the vector states, the S−D mixing and dielectron decays are studied. Additionally, to understand the role of the higher vector resonances in the e+e− annihilation reaction, we evaluate the cross section by combining our quark model predictions for the mass, dielectron, and strong decay properties. It is found that (i) The mass shifts of the high-bb¯ states due to the coupled-channel effects are on the order of a few tens of MeV; most of the high-lying resonances contain significant non-bb¯ components. (ii) The ϒ1(3D,5D,6D) states significantly mix with ϒ(4S,6S,7S), respectively, which is mainly induced by the intermediate hadronic loops. (iii) The non-bb¯ components will lead a significant suppression for the dielectron decay widths of some vector resonances. (iv) The threshold effects of open-bottom meson pairs can cause rich bump structures in the cross section of e+e−→bb¯. Our model shows that the ϒ(10753) may arise from threshold effects due to the strong coupling between ϒ(4S) and B¯*B*.

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