Longitudinal leading-twist distribution amplitude of the J/$\psi$ meson within the background field theory - INSPIRE

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Longitudinal leading-twist distribution amplitude of the J/ $\psi$ meson within the background field theory

Hai-Bing Fu
(
- Guizhou Minzu U., Guiyang
)
,
Long Zeng
(
- Guizhou Minzu U., Guiyang
)
,
Wei Cheng
(
- Chongqing U.
)
,
Xing-Gang Wu
(
- Henan Normal U.
)
,
Tao Zhong
(
- Henan Normal U.
)

Jan 21, 2018

10 pages

Published in:

Phys.Rev.D 97 (2018) 7, 074025

Published: Apr 25, 2018

e-Print:

1801.06832 [hep-ph]

DOI:

10.1103/PhysRevD.97.074025

View in:

ADS Abstract Service

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Abstract: (APS)

We make a detailed study on the J/ψ meson longitudinal leading-twist distribution amplitude ϕ2;J/ψ∥ by using the QCD sum rules within the background field theory. By keeping all the nonperturbative condensates up to dimension 6, we obtain accurate QCD sum rules for the moments ⟨ξn;J/ψ∥⟩. The first three ones are ⟨ξ2;J/ψ∥⟩=0.083(12), ⟨ξ4;J/ψ∥⟩=0.015(5), and ⟨ξ6;J/ψ∥⟩=0.003(2), respectively. Those values indicate a single peaked behavior for ϕ2;J/ψ∥. As an application, we adopt the QCD light-cone sum rules to calculate the Bc meson semileptonic decay Bc+→J/ψℓ+νℓ. We obtain Γ(Bc+→J/ψℓ+νℓ)=(89.67-19.06+24.76)×10-15 GeV and ℜ(J/ψℓ+νℓ)=0.217-0.057+0.069, which agree with both the extrapolated next-to-leading order pQCD prediction and the new CDF measurement within errors.

Note:

10 pages, 4 figures

J/psi(3100): distribution amplitude
longitudinal
quantum chromodynamics: sum rule
sum rule: light cone
condensation
nonperturbative
background field
CDF
B/c+ --> J/psi(3100) lepton+ neutrino
B/c: semileptonic decay

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Figures(4)

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