Comparison of two Minkowski-space approaches to heavy quarkonia

Leitão, Sofia; Li, Yang; Maris, Pieter; Peña, M. T.; Stadler, Alfred; Vary, James P.; Biernat, Elmar P.

doi:10.1140/epjc/s10052-017-5248-0

Cited by 23 publications

(15 citation statements)

References 66 publications

(112 reference statements)

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“…The spectrum agrees with the PDG data with an r.m.s mass deviation of 30 to 40 MeV for states below the open flavor thresholds. The LFWFs have been used to produce several observables and are in reasonable agreement with experiments and other theoretical approaches [32]. We now use these same LFWFs to calculate radiative transitions with the formalism described in Sec.…”

Section: Calculation In Basis Light-front Quantizationsupporting

confidence: 56%

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: Calculation In Basis Light-front Quantizationsupporting

confidence: 56%

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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“…See also Refs. [71][72][73][74][75] for some recent works bridging other approaches with the light-front approach.…”

Section: Summary and Discussionmentioning

confidence: 99%

Quarkonium as a relativistic bound state on the light front

Yang¹,

Maris²,

Vary³

2017

Phys. Rev. D

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120

257

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We study charmonium and bottomonium as relativistic bound states in a light-front quantized Hamiltonian formalism. The effective Hamiltonian is based on light-front holography.We use a recently proposed longitudinal confinement to complete the soft-wall holographic potential for the heavy flavors. The spin structure is generated from the one-gluon exchange interaction with a running coupling. The adoption of asymptotic freedom improves the spectroscopy compared with previous light-front results. Within this model, we compute the mass spectroscopy, decay constants and the r.m.s. radii. We also present a detailed study of the obtained light-front wave functions and use the wave functions to compute the lightcone distributions, specifically the distribution amplitudes and parton distribution functions. Overall, our model provides a reasonable description of the heavy quarkonia.

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“…In particular, a lot of experimental information has been gathered on the bottomonium spectrum during the last years thanks to ATLAS, BaBar, Belle, BESIII, CLEO, CMS, D0, and LHCb collaborations [1][2][3][4][5][6][7][8][9][10][11][12] and further results are expected in the near future during the Belle II run [13,14] and after the CMS and LHCb upgrades [15,16]. Theory work has preceded and followed through the experimental a e-mail: djmolinab@unal.edu.co (corresponding author) b e-mail: mdesanctis@unal.edu.co c e-mail: cesar.fernandez@nucleares.unam.mx d e-mail: santopinto@ge.infn.it effort [17][18][19][20][21] in the form of Lattice QCD computations [22][23][24][25][26][27][28][29][30][31][32][33], Dyson-Schwinger-Bethe-Salpeter equations [34][35][36][37][38][39][40], effectives Hamiltonians reduced from QCD [41,42] and potential quark models [43][44]…”

Section: Introductionmentioning

confidence: 99%

Bottomonium spectrum with a Dirac potential model in the momentum space

et al. 2020

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We study the bottomonium spectrum using a relativistic potential model in the momentum space. This model is based on a complete one gluon exchange interaction with a momentum dependent screening factor to account for the effects due to virtual pair creation that appear close to the decay thresholds. The overall model does not make use of nonrelativistic approximations. We fit well established bottomonium states below the open bottom threshold and predict the rest of the spectrum up to ≈ 11200 MeV and J PC = 3 −−. Uncertainties are treated rigorously and propagated in full to the parameters of the model using a Monte Carlo to identify if which deviations from experimental data can be absorbed into the statistical uncertainties of the models and which can be related to physics beyond the bb picture, guiding future research. We get a good description of the spectrum, in particular the Belle measurement of the η b (2S) state and the Υ (10860) and χ b (3P) resonances.

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Comparison of two Minkowski-space approaches to heavy quarkonia

Cited by 23 publications

References 66 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

Quarkonium as a relativistic bound state on the light front

Bottomonium spectrum with a Dirac potential model in the momentum space

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