Moments of nucleon generalized parton distributions in lattice QCD

Hägler, Ph.; Negele, John W.; Renner, Dru B.; Schroers, W.; Lippert, Th.; Schilling, Klaus

doi:10.1103/physrevd.68.034505

Cited by 199 publications

(193 citation statements)

References 28 publications

(32 reference statements)

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“…The result for the D-term of the ∆ in Table II is to the best of our knowledge the first calculation of the D-term of the ∆-resonance. Remarkably, also the D-term of the ∆ is negative -in agreement with theoretical calculations in other systems [9,10,[25][26][27][28][29][30][31], see also [21,[44][45][46][47][48][49][50][51]. …”

Section: Selected Resultssupporting

confidence: 71%

LHCb pentaquarks as a baryon-ψ(2S)bound state: Prediction of isospin-32pentaquarks with hidden charm

2016

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The pentaquark P + c (4450) recently discovered by LHCb has been interpreted as a bound state of Ψ(2S) and nucleon. The charmonium-nucleon interaction which provides the binding mechanism is given, in the heavy quark limit, in terms of charmonium chromoelectric polarizabilities and densities of the nucleon energy-momentum tensor (EMT). In this work we show in model-independent way, by exploring general properties of the effective interaction, that Ψ(2S) can form bound states with nucleon and ∆. Using the Skyrme model to evaluate the effective interaction in the large-Nc limit and estimate 1/Nc corrections, we confirm the results from prior work which were based on a different effective model (chiral quark soliton model). This shows that the interpretation of P + c (4450) is remarkably robust and weakly dependent on the details of the effective theories for the nucleon EMT. We explore the formalism further and present robust predictions of isospin pentaquarks with hidden charm can be observed.

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Section: Selected Resultssupporting

confidence: 71%

LHCb pentaquarks as a baryon-ψ(2S)bound state: Prediction of isospin-32pentaquarks with hidden charm

2016

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“…[9]. We considered all the combinations of P and P ′ that produce the same four-momentum transfer t = (P ′ − P ) 2 , subject to the conditions that P = 2π aNs (n x , n y , n z ) and P ′ = (0, 0, 0) or 2π aNs (−1, 0, 0).…”

Section: Lattice Measurementmentioning

confidence: 99%

Transverse Structure of Nucleon Parton Distributions from Lattice QCD

Hägler¹,

Negele²,

Renner³

et al. 2004

Phys. Rev. Lett.

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This work presents the first calculation in lattice QCD of three moments of spin-averaged and spin-polarized generalized parton distributions in the proton. It is shown that the slope of the associated generalized form factors decreases significantly as the moment increases, indicating that the transverse size of the light-cone quark distribution decreases as the momentum fraction of the struck parton increases.

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“…As an approach starting from first principles, lattice QCD is suitable for evaluating x-moments of GPDs. Interesting results on the first few moments have recently been obtained [8,9,10,11], although such calculations still come with important systematic uncertainties.…”

Section: Introductionmentioning

confidence: 99%

Generalized parton distributions from nucleon form factor data

et al. 2005

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We present a simple empirical parameterization of the x-and t-dependence of generalized parton distributions at zero skewness, using forward parton distributions as input. A fit to experimental data for the Dirac, Pauli and axial form factors of the nucleon allows us to discuss quantitatively the interplay between longitudinal and transverse partonic degrees of freedom in the nucleon ("nucleon tomography"). In particular we obtain the transverse distribution of valence quarks at given momentum fraction x. We calculate various moments of the distributions, including the form factors that appear in the handbag approximation to wide-angle Compton scattering. This allows us to estimate the minimal momentum transfer required for reliable predictions in that approach to be around |t| ≃ 3 GeV 2 . We also evaluate the valence contributions to the energy-momentum form factors entering Ji's sum rule.

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Moments of nucleon generalized parton distributions in lattice QCD

Cited by 199 publications

References 28 publications

LHCb pentaquarks as a baryon-ψ(2S)bound state: Prediction of isospin-32pentaquarks with hidden charm

LHCb pentaquarks as a baryon-ψ(2S)bound state: Prediction of isospin-32pentaquarks with hidden charm

Transverse Structure of Nucleon Parton Distributions from Lattice QCD

Generalized parton distributions from nucleon form factor data

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