Lattice QCD estimate of the η c (2S) → J/ψγ decay rate

Bečirević, Damir; Kruse, Michael; Sanfilippo, Francesco

doi:10.1007/jhep05(2015)014

Cited by 26 publications

(20 citation statements)

References 51 publications

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“…Comparisons ofV(0) from this work, with experiments (compiled by PDG [22]) and with other models (Lattice QCD [33][34][35][36][37], Quark Model [38][39][40]) are collected in Table I and visualized in Fig. 6.…”

Section: Resultsmentioning

confidence: 99%

“…The heavy quark limitV(0) = 2 of the allowed (nS → nS + γ) transition is shown in the dashed line. Results from PDG [22], Lattice QCD [33][34][35][36] and Lattice NRQCD [37,41], the relativistic quark model (rQM) [38] and the Godfrey-Isgur (GI) model [39,40] are also presented for comparison. As is the transition form factor, the decay constant is also Lorentz invariant and thus it should be independent of the polarization m j .…”

Section: Decay Constantsmentioning

confidence: 99%

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Radiative transitions between 0−+ and 1−− heavy quarkonia on the light front

Li¹,

Li²,

Maris³

et al. 2018

Phys. Rev. D

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We present calculations of radiative transitions between vector and pseudoscalar quarkonia in the light-front Hamiltonian approach. The valence sector light-front wavefunctions of heavy quarkonia are obtained from the Basis Light-Front Quantization (BLFQ) approach in a holographic basis. We study the transition form factor with both the traditional "good current" J + and the transverse current J ⊥ (in particular, J R = J x + iJ y ). This allows us to investigate the role of rotational symmetry by considering vector mesons with different magnetic projections (m j = 0, ±1). We use the m j = 0 state of the vector meson to obtain the transition form factor, since this procedure employs the dominant spin components of the light-front wavefunctions and is more robust in practical calculations. While the m j = ±1 states are also examined, transition form factors depend on subdominant components of the light-front wavefunctions and are less robust. Transitions between states below the open-flavor thresholds are computed, including those for excited states. Comparisons are made with the experimental measurements as well as with Lattice QCD and quark model results. In addition, we apply the transverse current to calculate the decay constant of vector mesons where we obtain consistent results using either m j = 0 or m j = 1 light-front wavefunctions. This consistency provides evidence for features of rotational symmetry within the model.

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Section: Resultsmentioning

confidence: 99%

Section: Decay Constantsmentioning

confidence: 99%

Radiative transitions between 0−+ and 1−− heavy quarkonia on the light front

Li¹,

Li²,

Maris³

et al. 2018

Phys. Rev. D

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“…In the past years, stimulated by the exciting progress in experiments, many theoretical studies of bottomonium spectrum have been carried out with different methods, such as the widely used potential models [9][10][11][12][13][14][15][16][17], lattice QCD [18][19][20][21], effective Lagrangian approach [22], nonrelativistic effective field theories of QCD [23][24][25], various coupled-channel quark models [26][27][28], and light front quark model [29][30][31][32]. Although some comparable predictions from different mod- * E-mail: guilongcheng@ihep.ac.cn † E-mail: zhongxh@hunnu.edu.cn els have been achieved, many properties of the bottomonium states are still not well understood.…”

Section: Introductionmentioning

confidence: 99%

Spectrum and electromagnetic transitions of bottomonium

et al. 2017

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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 Schr\"{o}dinger equation is solved with the three-point difference central method, where the spin-dependent potentials are dealt with non-perturbatively. 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 $nS$ ($n\leq 4$), $nP$ ($n\leq 3$), and $nD$ ($n\leq 2$) 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. Especially, the EM transitions of $\Upsilon(3S)\to \chi_{b1,2}(1P)\gamma$, 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.Comment: 14 pages, 1 figure, revised version. To appear in PR

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“…The study of the EM decays not only is crucial for us to determine the quantum numbers of the newly observed charmonium states, but also provides very useful references for our search for the missing charmonium states in experiments. To study the charmonium spectrum and/or their EM decays, beside the widely used potential models [7][8][9][10][11][12][13][14][15][16][17][18], some other models, such as lattice QCD [19][20][21][22][23][24][25][26], QCD sum rules [27][28][29], coupled-channel quark models [30], effective Lagrangian approach [31,32], * E-mail: guilongcheng@ihep.ac.cn † E-mail: zhongxh@hunnu.edu.cn nonrelativistic effective field theories of QCD [33][34][35][36], relativistic quark model [37], relativistic Salpeter method [38], light front quark model [39], Coulomb gauge approach [40], and generalized screened potential model [41] have been employed in theory. Recently, the hadronic loop contributions to the radiative decay of charmonium states were also discussed in Refs.…”

Section: Introductionmentioning

confidence: 99%

Charmonium spectrum and electromagnetic transitions with higher multipole contributions

et al. 2017

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The charmonium spectrum is calculated with two nonrelativistic quark models, the linear potential model and the screened potential model. Using the obtained wavefunctions, we evaluate the electromagnetic transitions of charmonium states up to 4S multiplet. The higher multipole contributions are included by a multipole expansion of the electromagnetic interactions. Our results are in reasonable agreement with the measurements. As conventional charmonium states, the radiative decay properties of the newly observed charmonium-like states, such as X(3823), X(3872), X(4140/4274), are discussed. The X(3823) as ψ 2 (1D), its radiative decay properties well agree with the observations. From the radiative decay properties of X(3872), one can not exclude it as a χ c1 (2P) dominant state. We also give discussions of possibly observing the missing charmonium states in radiative transitions, which might provide some useful references to look for them in forthcoming experiments. The higher multipole contributions to the electromagnetic transitions are analyzed as well. It is found that the higher contribution from the magnetic part could give notable corrections to some E1 dominant processes by interfering with the E1 amplitudes. Our predictions for the normalized magnetic quadrupole amplitudes M 2 of the χ c1,2 (1P) → J/ψγ processes are in good agreement with the recent CLEO measurements.

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Lattice QCD estimate of the η c (2S) → J/ψγ decay rate

Cited by 26 publications

References 51 publications

Radiative transitions between 0−+ and 1−− heavy quarkonia on the light front

Radiative transitions between 0−+ and 1−− heavy quarkonia on the light front

Spectrum and electromagnetic transitions of bottomonium

Charmonium spectrum and electromagnetic transitions with higher multipole contributions

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