Hindered M1 radiative decay of<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mrow><mml:mi mathvariant="normal">ϒ</mml:mi><mml:mo stretchy="false">(</mml:mo><mml:mn>2</mml:mn><mml:mi>S</mml:mi><mml:mo stretchy="false">)</mml:mo></mml:mrow></mml:math>from lattice NRQCD

Hughes, Ciaran; Dowdall, R. J.; Davies, C. T. H.; Horgan, R.R.; Hippel, Georg von; Wingate, Matthew

doi:10.1103/physrevd.92.094501

Cited by 19 publications

(13 citation statements)

References 86 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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“…We call this improved-NRQCD (iNRQCD). This action has already been used to successfully determine bottomonium S, P and D wave mass splittings [24,25], precise hyperfine splittings [26,27], B meson decay constants [28], Υ and Υ leptonic widths [29], B, D meson mass splittings [27] and hindered M1 radiative decays between bottomonium states [30].…”

Section: B B-quarks Using Inrqcdmentioning

confidence: 99%

“…The small changes to these coefficients in going to an O(v 6 ) iNRQCD action (which are similar in magnitude to the two-loop corrections) are not appreciable for the purpose of this work: whether or not a tetraquark candidate exists below the lowest bottomonium-pair threshold. All other parameters listed in Table IV are taken from [26,30].…”

Section: B B-quarks Using Inrqcdmentioning

confidence: 99%

Searching for beauty-fully bound tetraquarks using lattice nonrelativistic QCD

2018

Self Cite

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Motivated by multiple phenomenological considerations, we perform the first search for the existence of abbbb tetraquark bound state with a mass below the lowest noninteracting bottomonium-pair threshold using the first-principles lattice nonrelativistic QCD methodology. We use a full S-wave color/spin basis for thebbbb operators in the three 0 þþ , 1 þ− and 2 þþ channels. We employ four gluon field ensembles at multiple lattice spacing values ranging from a ¼ 0.06-0.12 fm, all of which include u, d, s and c quarks in the sea, and one ensemble which has physical light-quark masses. Additionally, we perform novel exploratory work with the objective of highlighting any signal of a near threshold tetraquark, if it existed, by adding an auxiliary potential into the QCD interactions. With our results we find no evidence of a QCD bound tetraquark below the lowest noninteracting thresholds in the channels studied.

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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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Hindered M1 radiative decay ofϒ(2S)from lattice NRQCD

Cited by 19 publications

References 86 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

Searching for beauty-fully bound tetraquarks using lattice nonrelativistic QCD

Spectrum and electromagnetic transitions of bottomonium

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