Quasiparton distribution function and quasigeneralized parton distribution of the pion in a spectator model

Ma, Zhi-Lei; Zhu, J.; Lü, Zhun

doi:10.1103/physrevd.101.114005

Cited by 18 publications

(5 citation statements)

References 66 publications

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“…3, 4 and Eqs. ( 22), ( 27), (28), our analysis predicts that the kaon's s-quark contributes a greater fraction of the total K pressure than its partner u-quark, its peak/trough intensities are greater, and the associated distributions are localised nearer to r = 0. These observations and the presence of strong scalar and axial-vector diquark correlations in the proton [72] suggest that one may expect similar effects in the flavour separation of the proton's pressure profiles, with u p acting like sK and d p like u K .…”

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confidence: 74%

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Measures of pion and kaon structure from generalised parton distributions

Zhang,

Raya,

Chang

et al. 2021

Preprint

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Pion and kaon structural properties provide insights into the emergence of mass within the Standard Model and attendant modulations by the Higgs boson. Novel expressions of these effects, in impact parameter space and in mass and pressure profiles, are exposed via π and K generalised parton distributions, built using the overlap representation from light-front wave functions constrained by one-dimensional valence distribution functions that describe available data. Notably, e.g. K pressure profiles are spatially more compact than π profiles and both achieve near-core pressures of similar magnitude to that found in neutron stars.

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confidence: 74%

“…Refs. [21][22][23][24][25][26][27][28][29][30]. For the kaon, on the other hand, foundations are just being laid, e.g.…”

mentioning

confidence: 99%

Measures of pion and kaon structure from generalised parton distributions

Zhang,

Raya,

Chang

et al. 2021

Preprint

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“…Most of the reported progress concerns parton distribution functions (PDFs), but more recently, lattice extraction of GPDs also received a lot of attention. Results were reported for the matching [11][12][13][14][15], within phenomenological models [16][17][18][19][20] and, particularly, first pioneering computations were obtained for the pion GPDs [21] and the nucleon GPDs -unpolarized and helicity [22], transversity [23] and even twist-3 ones [24].…”

Section: Theoretical and Lattice Setupmentioning

confidence: 99%

Accessing proton GPDs in asymmetric frames: Numerical implementation

Constantinou¹,

Bhattacharya²,

Cichy³

et al. 2023

Proceedings of the 39th International Symposium on Lattice Field Theory — PoS(LATTICE2022)

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In this work, we present a numerical investigation of a novel Lorentz-covariant parametrization to extract 𝑥-dependent GPDs using off-forward matrix elements of momentum-boosted hadrons coupled to non-local operators. The novelty of the method is the implementation of a asymmetric frame for the momentum transfer between the initial and final hadron state and the parametrization of the matrix elements into Lorentz-invariant amplitudes. The amplitudes can then be related to the standard light-cone GPDs. GPDs are defined in the symmetric frame, which requires a separate calculation for each value of the momentum transfer, increasing the computational cost significantly. The proposed method is powerful, as one can extract the GPDs at multiple values of the momentum transfer at the computational cost of a single value. For this proof-of-concept calculation, we use one ensemble of 𝑁 𝑓 = 2 + 1 + 1 twisted mass fermions and a clover improvement with a pion mass of 260 MeV to calculate the proton unpolarized GPDs.

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“…The model have been widely used to calculate the standard TMDs [41][42][43] and GPDs of the nucleon and spin-0 hadron. Recently it was also applied to calculate quasi-PDFs [33] and quasi-GPDs [44][45][46]. In the model, the nucleon is be viewed as a two-body composite system of an active quark with mass m and a diquark with mass M X .…”

Section: Analytic Calculationmentioning

confidence: 99%

Quasiparton distribution function and quasigeneralized parton distribution of the pion in a spectator model

Cited by 18 publications

References 66 publications

Measures of pion and kaon structure from generalised parton distributions

Measures of pion and kaon structure from generalised parton distributions

Accessing proton GPDs in asymmetric frames: Numerical implementation

The quark quasi Sivers function and quasi Boer-Mulders function in a spectator diquark model

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