Spectrum and electromagnetic transitions of bottomonium - INSPIRE

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Spectrum and electromagnetic transitions of bottomonium

Wei-Jun Deng
(
- Hunan Normal U. and
- Hunan, LDQSQC
)
,
Hui Liu
(
- Hunan Normal U. and
- Hunan, LDQSQC
)
,
Long-Cheng Gui
(
- Hunan Normal U. and
- Hunan, LDQSQC
)
,
Xian-Hui Zhong
(
- Hunan Normal U. and
- Hunan, LDQSQC
)

Jul 15, 2016

17 pages

Published in:

Phys.Rev.D 95 (2017) 7, 074002

Published: Apr 3, 2017

e-Print:

1607.04696 [hep-ph]

DOI:

10.1103/PhysRevD.95.074002

View in:

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Abstract: (APS)

Stimulated by the exciting progress in the observation of new bottomonium states, we study the bottomonium spectrum. To calculate the mass spectrum, we adopt a nonrelativistic screened potential model. The radial Schrödinger equation is solved with the three-point difference central method, where the spin-dependent potentials are dealt with nonperturbatively. With this treatment, the corrections of the spin-dependent potentials to the wave functions can be included successfully. Furthermore, we calculate the electromagnetic transitions of the nS (n≤4), nP (n≤3), and nD (n≤2) bottomonium states with a nonrelativistic electromagnetic transition operator widely applied to meson photoproduction reactions. Our predicted masses, hyperfine and fine splittings, electromagnetic transition widths, and branching ratios of the bottomonium states are in good agreement with the available experimental data. In particular, the EM transitions of ϒ(3S)→χb1,2(1P)γ, which were not well understood in previous studies, can be reasonably explained by considering the corrections of the spin-dependent interactions to the wave functions. We also discuss the observations of the missing bottomonium states by using radiative transitions. Some important radiative decay chains involving the missing bottomonium states are suggested to be observed. We hope our study can provide some useful references to observe and measure the properties of bottomonium mesons in forthcoming experiments.

Note:

14 pages, 1 figure, revised version. To appear in PRD

14.40.Pq
13.20.Gd
12.39.Jh
transition: electromagnetic
operator: transition
meson: photoproduction
mass: calculated
bottomonium
Schroedinger equation
potential model

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Figures(1)

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