Impact parameter dependent parton distributions for a relativistic composite system

Chakrabarti, Dipankar; Mukherjee, Asmita

doi:10.1103/physrevd.71.014038

Cited by 40 publications

(49 citation statements)

References 31 publications

(41 reference statements)

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“…If, instead of imposing a cutoff on transverse momentum, , we imposed a cutoff on the invariant mass [15], then the divergences at x 1 would have been regulated by a nonzero photon mass [28]. The DVCS amplitude at x 1 also receives a contribution from the single-particle sector of the Fock space [4,16,17,21], which we did not take into account. A detailed discussion about the cutoff scheme is provided in Appendix B.…”

Section: Calculation Of the Fourier Transformmentioning

confidence: 99%

“…This model has been used to calculate the spin and orbital angular momentum of a composite relativistic system [15] as well as the GPDs in the impact parameter space [16,17]. The calculation is thus exact to O , and it gives the Schwinger anomalous magnetic moment, the corresponding electron's Dirac and Pauli form factors [15,16], as well as the correct gravitational form factors, including the vanishing of the anomalous gravitomagnetic moment B 0 in agreement with the equivalence theorem [18]. In addition, it provides a template for the wave functions of an effective quarkdiquark model of the valence Fock state of the proton lightfront wave function.…”

Section: Introductionmentioning

confidence: 99%

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Hadron optics in three-dimensional invariant coordinate space from deeply virtual Compton scattering

et al. 2007

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The Fourier transform of the deeply virtual Compton scattering amplitude (DVCS) with respect to the skewness parameter Q 2 =2p q can be used to provide an image of the target hadron in the boostinvariant variable , the coordinate conjugate to light-front time t z=c. As an illustration, we construct a consistent covariant model of the DVCS amplitude and its associated generalized parton distributions using the quantum fluctuations of a fermion state at one loop in QED, thus providing a representation of the light-front wave functions (LFWFs) of a lepton in space. A consistent model for hadronic amplitudes can then be obtained by differentiating the light-front wave functions with respect to the bound-state mass. The resulting DVCS helicity amplitudes are evaluated as a function of and the impact parameterb ? , thus providing a light-front image of the target hadron in a frame-independent threedimensional light-front coordinate space. Models for the LFWFs of hadrons in 3 1 dimensions displaying confinement at large distances and conformal symmetry at short distances have been obtained using the AdS/CFT method. We also compute the LFWFs in this model in invariant three-dimensional coordinate space. We find that, in the models studied, the Fourier transform of the DVCS amplitudes exhibit diffraction patterns. The results are analogous to the diffractive scattering of a wave in optics where the distribution in measures the physical size of the scattering center in a one-dimensional system.

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Section: Calculation Of the Fourier Transformmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Hadron optics in three-dimensional invariant coordinate space from deeply virtual Compton scattering

et al. 2007

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“…We generalize this analysis by assigning a mass M to the external electrons and a different mass m to the internal electron lines and a mass to the internal photon lines with M < m þ for stability. In effect, we shall represent a spin-1 2 system as a composite of a spin-1 2 fermion and a spin-1 vector boson [5,[17][18][19][20]. This field theory inspired model has the correct correlation between the Fock components of the state as governed by the light-front eigenvalue equation, something that is extremely difficult to achieve in phenomenological models.…”

Section: Introductionmentioning

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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“…[37,38]. The positivity bounds can be used for self-consistency checks of models of GPDs [39,40,41,42,43,44].…”

Section: B Positivity Bounds On Gpdsmentioning

confidence: 99%

Inequalities for nucleon generalized parton distributions with helicity flip

2005

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Impact parameter dependent parton distributions for a relativistic composite system

Cited by 40 publications

References 31 publications

Hadron optics in three-dimensional invariant coordinate space from deeply virtual Compton scattering

Hadron optics in three-dimensional invariant coordinate space from deeply virtual Compton scattering

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

Inequalities for nucleon generalized parton distributions with helicity flip

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