Parton distributions in impact parameter space

Dahiya, Harleen; Mukherjee, Asmita; Ray, Sudhabindu

doi:10.1103/physrevd.76.034010

Cited by 18 publications

(22 citation statements)

References 30 publications

(35 reference statements)

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“…In the offforward case, the cancellation occurs similarly, as shown for Fðx; ; tÞ in [20]. The behavior at x ¼ 0; 1 can be improved by differentiating the LFWFs with respect to M 2 [24]. The x !…”

Section: Chiral-odd Generalized Parton Distributions In Qed At Omentioning

confidence: 90%

Chiral-odd generalized parton distributions in transverse and longitudinal impact parameter spaces

2009

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We investigate the chiral-odd generalized parton distributions for nonzero skewness in transverse and longitudinal position spaces by taking Fourier transform with respect to the transverse and longitudinal momentum transfer, respectively. We present overlap formulas for the chiral-odd generalized parton distributions in terms of light-front wave functions (LFWFs) of the proton both in the EfremovRadyushkin-Brodsky-Lepage and Dokshitzer-Gribov-Lipatov-Altarelli-Parisi regions. We calculate them in a field theory inspired model of a relativistic spin-1=2 composite state with the correct correlation between the different LFWFs in Fock space, namely, that of the quantum fluctuations of an electron in a generalized form of QED. We show the spin-orbit correlation effect of the two-particle LFWF as well as the correlation between the constituent spin and the transverse spin of the target.

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Section: Chiral-odd Generalized Parton Distributions In Qed At Omentioning

confidence: 90%

Chiral-odd generalized parton distributions in transverse and longitudinal impact parameter spaces

2009

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“…To understand the behaviour of the GPDs with the change in momentum transfer, in the numerical calculations we have used m = 300 MeV, M = 150 MeV, and λ = 300 MeV [22][23][24]. A cursory look at the plots reveal that the behaviour of the GPDs is the same and is independent of the value of momentum transfer |t|.…”

Section: Kinematics Of Dvcs and Generalized Parton Distributionsmentioning

confidence: 99%

“…M 2 produces a meson like behavior but it does not represent a model for meson. Even though some work has been done in the simulated model of LFWFs [24] where GPDs were discussed in impact parameter space i.e. by considering ζ = 0 but no work has been done so far for the case of ζ = 0.…”

Section: Introductionmentioning

confidence: 99%

Generalized Parton Distributions of proton for nonzero skewness in transverse and longitudinal position spaces

Kumar

Dahiya

2015

Int. J. Mod. Phys. A

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We investigate the Generalized Parton Distributions (GPDs) of proton by expressing them in terms of overlaps of light front wave functions (LFWFs) using a simulated model which is able to qualitatively improve the convergence near the end points of x. We study the spin non-flip H(x, ζ, t) and spin flip E(x, ζ, t) part of GPDs for the particle conserving n → n overlap in the DGLAP region (ζ < x < 1). The Fourier transform (FT) of the GPDs w.r.t. to the transverse momentum transfer as well the FT of the GPDs w.r.t. ζ have also been obtained giving the distribution of partons in the transverse position space and the distribution in the longitudinal position space respectively. Diffraction pattern is obtained for both H(x, σ, t) and E(x, σ, t) in the longitudinal position space.

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“…In the off forward case, the cancellation occurs similarly, as shown for Fx; ; t in [14]. The behavior at x 0, 1 can be improved by differentiating the LFWFs with respect to M 2 [20].…”

Section: Chiral-odd Generalized Parton Distributionsmentioning

confidence: 85%

Chiral odd generalized parton distributions in impact parameter space

Dahiya

Mukherjee

2008

Phys. Rev. D

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We investigate the chiral odd generalized parton distributions (GPDs) for the quantum fluctuations of an electron in QED. This provides a field theory inspired model of a relativistic spin-1 2 composite state with the correct correlation between the different light-front wave functions (LFWFs) in Fock space. We express the GPDs in terms of overlaps of LFWFs and obtain their representation in impact parameter space when the momentum transfer is purely transverse. We show the spin-orbit correlation effect of the two-particle LFWF as well as the correlation between the constituent spin and the transverse spin of the target.

show abstract

Parton distributions in impact parameter space

Cited by 18 publications

References 30 publications

Chiral-odd generalized parton distributions in transverse and longitudinal impact parameter spaces

Chiral-odd generalized parton distributions in transverse and longitudinal impact parameter spaces

Generalized Parton Distributions of proton for nonzero skewness in transverse and longitudinal position spaces

Chiral odd generalized parton distributions in impact parameter space

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