Helicity-dependent generalized parton distributions in constituent quark models

Boffi, S.; Pasquini, B.; Traini, M.

doi:10.1016/j.nuclphysb.2003.12.037

Cited by 61 publications

(79 citation statements)

References 67 publications

(80 reference statements)

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“…The approach is particularly suitable for the description of Deep Inelastic Scattering (DIS) processes which find their natural environment in a LF-description. The numerous applications to a large varieties of DIS observables like polarized [24] and unpolarized [26][27][28] structure functions, spin and angular momentum distributions [29,30], helicity-independent and dependent GPDs [31][32][33], demonstrate the reliability and flexibility of the approach.…”

Section: Calculating Double Parton Distribution Functionsmentioning

confidence: 99%

“…refs. [24,[31][32][33]) the considerations made for free canonical states can be generalized to interacting quarks in a proton, by means of a suitable representation of the Poincaré operators, namely the Bakamjian-Thomas construction [38]. The extension to interacting systems requires, in fact, a dynamical representation of the Poincaré group.…”

Section: The Light-front Formulationmentioning

confidence: 99%

“…Since GPDs have been studied, precisely within the same LF-approach, by Pasquini, Boffi and Traini [31][32][33] some years ago, one can check directly the accuracy of eq. (2.18).…”

Section: Factorization By Means Of Generalized Parton Distributionsmentioning

confidence: 99%

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Correlations in double parton distributions: perturbative and non-perturbative effects

Rinaldi

Scopetta

Traini

et al. 2016

J. High Energ. Phys.

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The correct description of Double Parton Scattering (DPS), which represents a background in several channels for the search of new Physics at the LHC, requires the knowledge of double parton distribution functions (dPDFs). These quantities represent also a novel tool for the study of the three-dimensional nucleon structure, complementary to the possibilities offered by electromagnetic probes. In this paper we analyze dPDFs using Poincaré covariant predictions obtained by using a Light-Front constituent quark model proposed in a recent paper, and QCD evolution. We study to what extent factorized expressions for dPDFs, which neglect, at least in part, two-parton correlations, can be used. We show that they fail in reproducing the calculated dPDFs, in particular in the valence region. Actually measurable processes at existing facilities occur at low longitudinal momenta of the interacting partons; to have contact with these processes we have analyzed correlations between pairs of partons of different kind, finding that, in some cases, they are strongly suppressed at low longitudinal momenta, while for other distributions they can be sizeable. For example, the effect of gluon-gluon correlations can be as large as 20 %. We have shown that these behaviors can be understood in terms of a delicate interference of non-perturbative correlations, generated by the dynamics of the model, and perturbative ones, generated by the model independent evolution procedure. Our analysis shows that at LHC kinematics two-parton correlations can be relevant in DPS, and therefore we address the possibility to study them experimentally.

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Section: Calculating Double Parton Distribution Functionsmentioning

confidence: 99%

Section: The Light-front Formulationmentioning

confidence: 99%

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Correlations in double parton distributions: perturbative and non-perturbative effects

Rinaldi

Scopetta

Traini

et al. 2016

J. High Energ. Phys.

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“…Angular momentum of a quark is extracted from Wigner distributions taking the phase space average. The Wigner distributions have been studied in different models e.g., in lightcone constituent quark model [7][8][9][10], in chiral soliton model [8,11,12], light front dressed quark model [13][14][15], lightcone spectator model [16], light-cone quark-scalar-diquark model [17].…”

Section: Introductionmentioning

confidence: 99%

Quark Wigner distributions and spin-spin correlations

et al. 2017

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We investigate the Wigner distributions for u and d quarks in a light front quark-diquark model of a proton to unravel the spatial and spin structure. The light-front wave functions are modeled from the soft-wall AdS/QCD prediction. We consider the contributions from both the scalar and the axial vector diquarks. The Wigner distributions for unpolarized, longitudinally polarized and transversely polarized proton are presented in transverse momentum plane as well as in transverse impact parameter plane. The Wigner distributions satisfy a Soffer bound type inequality. We also evaluate all the leading twist GTMDs and show their scale evolution. The spin-spin correlations between the quark and the proton are investigated.

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“…In the following, we will show results from the light-front constituent quark model (LFCQM) [29], which has been extensively applied to calculate form factors [30], TMDs [31][32][33][34] and GPDs [35][36][37][38], showing a typical accuracy of 30%. Since our purpose is simply to illustrate the multipole structure, we computed only the naive T-even contributions in this model.…”

Section: Wigner Distributionsmentioning

confidence: 99%

The multidimensional nucleon structure

Pasquini

Lorcé

2016

EPJ Web Conf.

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Abstract. We discuss different kinds of parton distributions, which allow one to obtain a multidimensional picture of the internal structure of the nucleon. We use the concept of generalized transverse momentum dependent parton distributions and Wigner distributions, which combine the features of transverse-momentum dependent parton distributions and generalized parton distributions. We show examples of these functions within a phenomenological quark model, with focus on the role of the spin-spin and spin-orbit correlations of quarks.

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Helicity-dependent generalized parton distributions in constituent quark models

Cited by 61 publications

References 67 publications

Correlations in double parton distributions: perturbative and non-perturbative effects

Correlations in double parton distributions: perturbative and non-perturbative effects

Quark Wigner distributions and spin-spin correlations

The multidimensional nucleon structure

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