Ward identity of the vector current and the decay rate of 
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 in lattice QCD

Liu, Chuan; Meng, Yu; Zhang, Ke-Long

doi:10.1103/physrevd.102.034502

Cited by 8 publications

(8 citation statements)

References 19 publications

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“…One could also contemplate generalizing it to other hadronic decays with three particles in the final state. As a side remark, this method has been applied to processes like η c → γγ [17] and a first lattice result that is consistent with the experiments within 2σ has been obtained.…”

Section: Discussionmentioning

confidence: 63%

“…One possible verification of the validity of both methods lies in the process η c → 2γ. While this article was being prepared, this new method was also applied to the two-photon decay of pseudoscalar charmonium [17], where the decay width of η c → 2γ was obtained with a result that is consistent with the experimental one within 2σ.…”

Section: Introductionmentioning

confidence: 70%

“…For more details, we refer interested readers to Ref. [17]. We start by expressing the decay matrix element…”

Section: Approach To the Decay Width On A Latticementioning

confidence: 99%

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Three photon decay of J/ψ from lattice QCD

2020

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The three-photon decay rate of J=ψ is studied using two N f ¼ 2 twisted-mass gauge ensembles with lattice spacings a ≃ 0.085 and 0.067 fm. Using a new method, only the correlation functions directly related to the physical decay width are computed with all polarizations of the initial and final states summed over. The final result can be obtained after a naive extrapolation to the continuum limit. To be specific, the result for such rare decay is given as BðJ=ψ → 3γÞ ¼ ð2.13 AE 0.14 AE 0.29Þ × 10 −5 , where the first error is statistical and the second is an estimate of the systematics. We also propose a method to analyze the Dalitz plot of the corresponding process based on the lattice data which can provide direct information for the relevant experiments.

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Section: Discussionmentioning

confidence: 63%

Section: Introductionmentioning

confidence: 70%

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Three photon decay of J/ψ from lattice QCD

2020

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“…However, this is only accurate in the non-relativistic limit. At small Q 2 , these two equations ( 10) & (11) clearly overestimate the full light-front prediction (7), as we will see later. For charmonia, the effect is substantial.…”

Section: A ηC → γγmentioning

confidence: 55%

“…Lattice computation of the two-photon transition with off-shell photons is particularly challenging, as demonstrated by the large discrepancy between theoretical predictions and the PDG value, since the energetic virtual photon is not an eigenstate of the QCD Hamiltonian [11]. Nevertheless, strides have been made to access the twophoton width [10,[12][13][14][15], and transition form factors [10,12].…”

Section: Introductionmentioning

confidence: 99%

Two-photon transitions of charmonia on the light front

Li,

Vary

2021

Preprint

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We investigate the two-photon transitions Hcc → γ * γ of the charmonium system in light-front dynamics. The light-front wave functions were obtained from solving the effective Hamiltonian based on light-front holography and one-gluon exchange interaction within the basis light-front quantization approach. We compute the two-photon transition form factors as well as the twophoton decay widths for S-and P-wave charmonia, ηc and χcJ and their excitations. Without introducing any free parameters, our predictions are in good agreement with the recent experimental measurements by BaBar and Belle, shedding light on the relativistic nature of charmonium.

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