Quark Wigner distributions and GTMDs of Pion in the light-front holographic model

Kaur, Navdeep; Dahiya, Harleen

doi:10.1140/epja/s10050-020-00179-9

Cited by 16 publications

(13 citation statements)

References 82 publications

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“…Thus, several modeling frameworks have been used in the last few decades, each one having its advantages. For instance, we have the Nambu-Jona-Lasinio (NJL) model [63][64][65][66][67][68], the constituent quark model [69][70][71], the light-front holographic model [72][73][74], the light-front quark-diquark model [75][76][77], the AdS/QCD model [78][79][80], the chiral quark model [81,82] and the Dyson-Schwinger equations (DSEs) [7,8,83]. The NJL model has an effective Lagrangian of relativistic fermions interacting through local fermion-fermion couplings, and especially, it preserves one of the most important fundamental symmetries of QCD, namely, chiral symmetry.…”

Section: (): V-volmentioning

confidence: 99%

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Kaon generalized parton distributions and light-front wave functions in the Nambu–Jona-Lasinio model

Zhang

Ping

2021

Eur. Phys. J. C

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Kaon generalized parton distributions (GPDs) and the leading Fock state light-front wave functions are investigated in the framework of Nambu–Jona-Lasinio model with proper time regularization. In addition, we compared the form factors, parton distribution functions, and generalized form factors obtained from them, respectively. The first Mellin moments of GPDs result in the form factors of local currents. The second Mellin moments of vector GPDs are related to gravitational form factors, the quark mass distribution $$\theta _2$$ θ 2 and the quark pressure distribution $$\theta _1$$ θ 1 . When taking a Fourier transform of GPDs in impact parameter space, we can get the mean-squared impact parameter for the quarks of the kaon: $$\langle {\varvec{b}}_{\bot }^2\rangle _K^u=0.149$$ ⟨ b ⊥ 2 ⟩ K u = 0.149 fm$$^2$$ 2 , $$\langle {\varvec{b}}_{\bot }^2\rangle _K^s=0.088$$ ⟨ b ⊥ 2 ⟩ K s = 0.088 fm$$^2$$ 2 . This means that the kaon s quark is nearer to the center of transverse momentum than the u quark. We also give the light-cone energy radius for the quarks of the kaon from the mass distribution $$\theta _2$$ θ 2 : $$r_{E,LC}^{u,K}=0.187 $$ r E , L C u , K = 0.187 fm, $$ r_{E,LC}^{s,K}=0.167$$ r E , L C s , K = 0.167 fm, and the light-cone charge radius from quark form factors of the kaon: $$r_{c,LC}^{u,K}=0.390 $$ r c , L C u , K = 0.390 fm, $$r_{c,LC}^{s,K}=0.296 $$ r c , L C s , K = 0.296 fm, which means that the s quark has a smaller extent than the u quark. The light-front transverse-spin distributions $$\rho _u^1\left( {\varvec{b}}_{\bot },{\varvec{s}}_{\perp }\right) $$ ρ u 1 b ⊥ , s ⊥ and $$\rho _u^2\left( {\varvec{b}}_{\bot },{\varvec{s}}_{\perp }\right) $$ ρ u 2 b ⊥ , s ⊥ show distortions, the average shift are $$\langle b_{\bot }^y\rangle _1^u=0.116$$ ⟨ b ⊥ y ⟩ 1 u = 0.116 fm and $$\langle b_{\bot }^y\rangle _2^u=0.083$$ ⟨ b ⊥ y ⟩ 2 u = 0.083 fm. On the kinematic domain associated with the valence-quark dominance, the unpolarized Wigner distribution from light-front wave functions is sharply peaked. It extends as the transverse position variable increases in magnitude and has a domain of negative support. Through the comparison of distributions from the two methods, we find that they give the same multi-dimensional mapping of the kaon in the Nambu–Jona-Lasinio model.

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Section: (): V-volmentioning

confidence: 99%

“…The definition of the unpolarized Wigner distribution [106][107][108][109][110][111][112][113][114][115][116][117], according to Refs. [74,117], is…”

Section: Wigner Distributionmentioning

confidence: 99%

Kaon generalized parton distributions and light-front wave functions in the Nambu–Jona-Lasinio model

Zhang

Ping

2021

Eur. Phys. J. C

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“…As derived in Refs. [8,20,21], the spin-orbit correlations can be also expressed in terms of GTMDs. Particularly, C z is connected to the GTMD G 1,1 by the relation…”

Section: Connection Between Spin-orbit Correlation In the Pion And Gp...mentioning

confidence: 99%

Quark spin-orbit correlations in the pion meson in light-cone quark model

Tan,

2021

Preprint

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We study the correlation between the quark spin and orbital angular momentum inside the pion meson. Similar to the case inside the nucleon, the longitudinal spin-orbit correlation in pion can be expressed in terms of the corresponding generalized parton distributions (GPDs) and generalized transverse momentum distributions (GTMDs). This provides new information about the spin structure of the pion. Using the wavefunctions of the pion in the light-cone quark model and the overlap representation for GPDs and GTMDs, we present the analytical results for the quark longitudinal spin-orbit correlation. We find that the GPD approach and the GTMD approach lead to the same results. The numerical results is also obtained, showing that the correlation in pion is anti-aligned.

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“…Models for quark GTMDs have been considered in e.g. [12][13][14]. For gluon GTMDs the models are so-far based on the small-x McLerran-Venugopalan (MV) model [15][16][17] and related Color Glass Condensate (CGC) descriptions.…”

Section: Introductionmentioning

confidence: 99%

GTMD model predictions for diffractive dijet production at EIC

Boer,

Setyadi

2021

Preprint

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In this paper we consider a small-x model for gluon GTMDs that we fit to data on diffractive dijet production in electron-proton collisions obtained by HERA's H1 Collaboration. Assuming a small number of free parameters, each with a physical motivation, we are able to describe those data fairly well and with this model we obtain predictions for the EIC for both electroproduction and photoproduction which may allow to further test the underlying GTMD description. In the general discussion of the impact parameter dependence we recall some subtle issues related to localization of states, choice of frames, and discuss what these aspects imply for the range of applicability of the model.

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Quark Wigner distributions and GTMDs of Pion in the light-front holographic model

Cited by 16 publications

References 82 publications

Kaon generalized parton distributions and light-front wave functions in the Nambu–Jona-Lasinio model

Kaon generalized parton distributions and light-front wave functions in the Nambu–Jona-Lasinio model

Quark spin-orbit correlations in the pion meson in light-cone quark model

GTMD model predictions for diffractive dijet production at EIC

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