Coupled-channel effects for the bottomonium with realistic wave functions

Yu Lu, Muhammad Naeem Anwar, and Bing-Song Zou
Phys. Rev. D 94, 034021 – Published 10 August 2016

Abstract

With Gaussian expansion method (GEM), realistic wave functions are used to calculate coupled-channel effects for the bottomonium under the framework of P30 model. The simplicity and accuracy of GEM are explained. We calculate the mass shifts, probabilities of the B meson continuum, SD mixing angles, strong and dielectric decay widths. Our calculation shows that both SD mixing and the B meson continuum can contribute to the suppression of the vector meson’s dielectric decay width. We suggest more precise measurements on the radiative decays of ϒ(10580) and ϒ(11020) to distinguish these two effects. The above quantities are also calculated with simple harmonic oscillator (SHO) wave function approximation for comparison. The deviation between GEM and SHO indicates that it is essential to treat the wave functions accurately for near threshold states.

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  • Received 22 June 2016

DOI:https://doi.org/10.1103/PhysRevD.94.034021

© 2016 American Physical Society

Physics Subject Headings (PhySH)

Particles & Fields

Authors & Affiliations

Yu Lu1,3,*, Muhammad Naeem Anwar2,3,†, and Bing-Song Zou2,3,‡

  • 1Institute of High Energy Physics, Chinese Academy of Sciences, Beijing 100049, China,
  • 2CAS Key Laboratory of Theoretical Physics, Institute of Theoretical Physics, Chinese Academy of Sciences, Beijing 100190, China
  • 3University of Chinese Academy of Sciences, Beijing 100049, China

  • *luyu211@ihep.ac.cn
  • naeem@itp.ac.cn
  • zoubs@itp.ac.cn

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Vol. 94, Iss. 3 — 1 August 2016

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