Proton tensor charges from a Poincaré-covariant Faddeev equation

Wang, Qingwu; Qin, Si‐xue; Roberts, Craig D.; Schmidt, S.

doi:10.1103/physrevd.98.054019

Cited by 48 publications

(40 citation statements)

References 111 publications

(159 reference statements)

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“…Our nonzero result for F n 1 ðxÞ is thus evidence of SU(4) spin-flavor symmetry breaking in our formulation. This is a typical outcome of the Poincarécovariant Faddeev equation treatment of the nucleon [53,90,91], which introduces correlations between the momentum-space behavior of the solution and its spinisospin structure, and a natural consequence of the presence of diquark correlations within the nucleon.…”

Section: A Dirac and Paulimentioning

confidence: 99%

Nucleon elastic form factors at accessible large spacelike momenta

et al. 2020

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A Poincaré-covariant quark þ diquark Faddeev equation, augmented by a statistical implementation of the Schlessinger point method for the interpolation and extrapolation of smooth functions, is used to compute nucleon elastic form factors on 0 ≤ Q 2 ≤ 18m 2 N (m N is the nucleon mass) and elucidate their role as probes of emergent hadronic mass in the Standard Model. The calculations expose features of the form factors that can be tested in new generation experiments at existing facilities, e.g., a zero in G p E =G p M , a maximum in G n E =G n M , and a zero in the proton's d-quark Dirac form factor, F d 1. Additionally, examination of the associated light-front-transverse number and anomalous magnetization densities reveals inter alia: a marked excess of valence u quarks in the neighborhood of the proton's center of transverse momentum, and that the valence d quark is markedly more active magnetically than either of the valence u quarks. The calculations and analysis also reveal other aspects of nucleon structure that could be tested with a high-luminosity accelerator capable of delivering higher beam energies than are currently available.

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Section: A Dirac and Paulimentioning

confidence: 99%

Nucleon elastic form factors at accessible large spacelike momenta

et al. 2020

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“…This approach has also been used recently to provide Poincaré-covariant calculations of: the spectrum of J P = 3/2 + baryons, including those with heavy-quarks, and their first positive-parity excitations [68]; and the proton's tensor charges [69]. Herein we describe an extension of the spectrum calculation to include all ground-state J P = 1/2 + , 3/2 + baryons, including systems with one or more heavy-quarks, and their first positive-parity excitations and negative-parity parters.…”

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confidence: 99%

Spectrum of Light- and Heavy-Baryons

2019

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A symmetry-preserving truncation of the strong-interaction bound-state equations is used to calculate the spectrum of ground-state J = 1/2 + , 3/2 + (qq q )-baryons, where q, q , q ∈ {u, d, s, c, b}, their first positive-parity excitations and parity partners. Using two parameters, a description of the known spectrum of 39 such states is obtained, with a mean-absolute-relativedifference between calculation and experiment of 3.6(2.7)%. From this foundation, the framework is subsequently used to predict the masses of 90 states not yet seen empirically.Keywords Poincaré-covariant Faddeev equation · baryon spectrum · light and heavy quarks · Dyson-Schwinger equations · emergence of mass 1 IntroductionThe Faddeev equation was introduced almost sixty years ago [1]. It treats the quantum mechanical problem of three-bodies interacting via pairwise potentials by reducing it to a sum of three terms, each of which describes a solvable scattering problem in distinct two-body subsystems. The Faddeev formulation of that three-body problem has a unique solution.An analogous approach to the three-valence-quark (baryon) bound-state problem in quantum chromodynamics (QCD) was explained in Refs. [2][3][4][5][6]. In this case, owing to dynamical mass generation, expressed most simply in QCD's one-body Schwinger functions in the gauge [7][8][9][10][11][12][13][14][15][16][17][18] and matter sectors [19][20][21][22][23][24], and the importance of symmetries [25][26][27], one requires a Poincaré-covariant quantum field theory generalisation of the Faddeev equation. Like the Bethe-Salpeter equation for mesons, it is natural to consider such a Faddeev equation as one of the tower of QCD's Dyson-Schwinger equations (DSEs) [28], which are being used to develop a systematic, symmetry-preserving, continuum approach to the strong-interaction bound-state problem [29][30][31][32][33][34].The Poincaré-covariant Faddeev equation for baryons is typically treated in a quark-diquark approximation, where the diquark correlations are nonpointlike and dynamical [35]. This amounts to a simplified treatment of the scattering problem in the two-body subchannels (as explained, e.g. in Ref. [36], Sec. II.A.2), which is founded on an observation that the same interaction which describes

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“…It has been calculated in many phenomenological models [13,14,15,16,17,18,19,20,21,22], and with some nonperturbative methods such as the Dyson-Schwinger equation [23,24] and the Euclidean lattice simulation [25,26,27,28,29,30]. It is also referred to as a benchmark of lattice QCD.…”

Section: The Impact Of Solid Sidis Experimentsmentioning

confidence: 99%

“…A permanent EDM of any particle with a nondegenerate ground state violates both parity (P) and time-reversal (T) symmetries. As- [23,24], the square (blue) points are from lattice QCD calculations [25,26,27,28,29,30], the triangle (magenta) points are from model calculations [13,14,15,16,17,18,19,20,21,22], the filled diamond (black) points are phenomenological extractions from data [11,31,32,33,12], and the hollow diamond (red) points are the projection of SoLID experiments based on the global analysis [12].…”

Section: The Impact Of Solid Sidis Experimentsmentioning

confidence: 99%

TMD program at Jefferson Lab

Liu¹

2020

Proceedings of the 9th International Workshop on Chiral Dynamics — PoS(CD2018)

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Unveiling partonic structures of the nucleon is one of the missions of Jefferson Lab (JLab). Extracting the transverse momentum dependent parton distributions (TMDs), which provide threedimensional imagings of the nucleon in the momentum space, is a main physics program at JLab. Many explorations have been made in 6 GeV experiments. A comprehensive TMD program with semi-inclusive deep inelastic scattering experiments in multiple halls will take place in the 12 GeV era, aiming at a profound understanding of the reaction mechanism and precise extractions of TMDs particularly in the valence quark region. Taking SoLID as an example, we show the impact of these experiments on TMD physics. Besides, some measurements can also advance the search for new physics beyond the standard model. The 9th International workshop on Chiral Dynamics 17

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Proton tensor charges from a Poincaré-covariant Faddeev equation

Cited by 48 publications

References 111 publications

Nucleon elastic form factors at accessible large spacelike momenta

Nucleon elastic form factors at accessible large spacelike momenta

Spectrum of Light- and Heavy-Baryons

TMD program at Jefferson Lab

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