Power-law wave functions and generalized parton distributions for the pion

Mukherjee, A.; Musatov, I. V.; Pauli, Hans–Christian; Radyushkin, Anatoly

doi:10.1103/physrevd.67.073014

Cited by 60 publications

(113 citation statements)

References 44 publications

(77 reference statements)

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“…The x ! 0 limit can be improved as well by a different method [25]. The GPDs are zero in the domain À 1 < x < 0, which corresponds to emission and reabsorption of an e þ from a physical electron.…”

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

confidence: 99%

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: 99%

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

2009

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“…When summed over all partons, the transverse center of momentum would still be at the origin. Indeed it is easy to check for a dressed electron 8) which is due to the fact that the anomalous gravitomagnetic moment of the electron has to vanish. Note that in the second term, (1 − x) is the momentum fraction of the gauge boson.…”

Section: Gauge Boson Distributionsmentioning

confidence: 99%

“…Impact parameter dependent pdfs have been investigated in chiral quark model for the pion [6], in the constituent quark model [7], in terms of a power-law ansatz of the lightcone wave function for the pion [8], in the context of investigating the color transparency phenomena [9], in the transverse lattice framework for the pion [10] and on the lattice [11].…”

Section: Introductionmentioning

confidence: 99%

Impact parameter dependent parton distributions for a relativistic composite system

Chakrabarti

Mukherjee

2005

Phys. Rev. D

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We investigate the impact parameter dependent parton distributions for a relativistic composite system in light-front framework. We take an effective two-body spin-1/2 state, namely an electron dressed with a photon in QED. We express the impact parameter dependent parton distributions in terms of overlaps of light-cone wave functions. We obtain the scale dependence of both fermion and gauge boson distributions and show the distortion of the pdfs in the transverse space for transverse polarization of the state at one loop level. * Electronic address: dipankar@phys.ufl.edu † Electronic address: asmita@lorentz.leidenuniv.nl

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“…The assumptions used in the factorized DD Ansatz are based on the experience with calculating DDs for triangle diagrams [28] and form factors in the light-front formalism models with power-law dependence of the wave function on transverse momentum [35] (see also [36]). …”

Section: Gpd Model With Implanted Regge Behavior a Formulationmentioning

confidence: 99%

Generalized parton distributions and their singularities

Radyushkin

2011

Phys. Rev. D

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A new approach to building models of generalized parton distributions (GPDs) is discussed that is based on the factorized DD (double distribution) Ansatz within the single-DD formalism. The latter was not used before, because reconstructing GPDs from the forward limit one should start in this case with a very singular function f (β)/β rather than with the usual parton density f (β). This results in a non-integrable singularity at β = 0 exaggerated by the fact that f (β)'s, on their own, have a singular β −a Regge behavior for small β. It is shown that the singularity is regulated within the GPD model of Szczepaniak et al., in which the Regge behavior is implanted through a subtracted dispersion relation for the hadron-parton scattering amplitude. It is demonstrated that using proper softening of the quark-hadron vertices in the regions of large parton virtualities results in model GPDs H(x, ξ) that are finite and continuous at the "border point" x = ξ. Using a simple input forward distribution, we illustrate implementation of the new approach for explicit construction of model GPDs. As a further development, a more general method of regulating the β = 0 singularities is proposed that is based on the separation of the initial single DD f (β, α) into the "plus" part [f (β, α)]+ and the D-term. It is demonstrated that the "DD+D" separation method allows to (re)derive GPD sum rules that relate the difference between the forward distribution f (x) = H(x, 0) and the border function H(x, x) with the D-term function D(α).

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Power-law wave functions and generalized parton distributions for the pion

Abstract: We propose a model for generalized parton distributions of the pion based on the power-law Ansatz for the effective light-cone wave function

Cited by 60 publications

References 44 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

Impact parameter dependent parton distributions for a relativistic composite system

Generalized parton distributions and their singularities

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