scholarly journals Relations between generalized parton distributions and transverse momentum dependent parton distributions

2021 ◽  
Vol 104 (7) ◽  
Author(s):  
Bheemsehan Gurjar ◽  
Dipankar Chakrabarti ◽  
Poonam Choudhary ◽  
Asmita Mukherjee ◽  
Pulak Talukdar
Keyword(s):  
Transverse Momentum ◽  
Parton Distributions ◽  
Transverse Momentum Dependent ◽  
Generalized Parton Distributions

NONTRIVIAL RELATIONS BETWEEN GPDs AND TMDs>

2009 ◽  
Vol 24 (35n37) ◽  
pp. 2973-2983 ◽  
Author(s):  
ANDREAS METZ ◽  
STEPHAN MEISSNER ◽  
MARC SCHLEGEL
Keyword(s):  
Transverse Momentum ◽  
Present Knowledge ◽  
The Other ◽  
Parton Distributions ◽  
Transverse Momentum Dependent ◽  
Generalized Parton Distributions ◽  
Model Independent ◽  
The One

The present knowledge about nontrivial relations between generalized parton distributions for a spin-1/2 hadron on the one hand and transverse momentum dependent distributions on the other is reviewed. While various relations can be found in the framework of simple spectator models, so far no model-independent nontrivial relations have been established. In fact, by relating the two types of parton distributions to the fully unintegrated, off-diagonal quark-quark correlator for a spin-1/2 hadron, we argue that none of the nontrivial relations can be promoted to a model-independent status.

scholarly journals THE SPIN STRUCTURE OF THE NUCLEON IN LIGHT-CONE QUARK MODELS

2009 ◽  
Vol 24 (35n37) ◽  
pp. 2903-2912 ◽  
Author(s):  
B. PASQUINI ◽  
S. BOFFI ◽  
P. SCHWEITZER
Keyword(s):  
Transverse Momentum ◽  
Light Cone ◽  
Parton Distributions ◽  
Transverse Momentum Dependent ◽  
Spin Asymmetries ◽  
Generalized Parton Distributions ◽  
Quark Spin ◽  
Quark Models ◽  
Impact Parameter Space

The quark spin densities related to generalized parton distributions in impact-parameter space and to transverse-momentum dependent parton distributions are reviewed within a light-cone quark model, with focus on the role of the different spin-spin and spin-orbit correlations of quarks. Results for azimuthal spin asymmetries in semi-inclusive deep inelastic scattering due to T -even transverse-momentum dependent parton distributions are also discussed.

scholarly journals T-odd generalized and quasi transverse momentum dependent parton distribution in a scalar spectator model

2020 ◽  
Vol 80 (9) ◽  
Author(s):  
Xuan Luo ◽  
Hao Sun
Keyword(s):  
Transverse Momentum ◽  
Total Momentum ◽  
Longitudinal Momentum ◽  
Momentum Fraction ◽  
Parton Distributions ◽  
Transverse Momentum Dependent ◽  
Longitudinal Momentum Fraction ◽  
Generalized Parton Distributions ◽  
Active Quark ◽  
Spectator Model

AbstractGeneralized transverse momentum dependent parton distributions (GTMDs), as mother funtions of transverse momentum dependent parton distributions (TMDs) and generalized parton distributions (GPDs), encode the most general parton structure of hadrons. We calculate four twist-two time reversal odd GTMDs of pion in a scalar spectator model. We study the dependence of GTMDs on the longitudinal momentum fraction x carried by the active quark and the transverse momentum $$|\vec k_T|$$ | k → T | for different values of skewness $$\xi $$ ξ defined as the longitudinal momentum transferred to the pion as well as the total momentum $$|\vec \Delta _T|$$ | Δ → T | transferred to the pion. In addition, the quasi-TMDs and quasi-GPDs of pion have also been investigated in this paper.

scholarly journals Wigner Distributions and Orbital Angular Momentum of Quarks

2015 ◽  
Vol 37 ◽  
pp. 1560040
Author(s):  
Asmita Mukherjee ◽  
Sreeraj Nair ◽  
Vikash Kumar Ojha
Keyword(s):  
Angular Momentum ◽  
Transverse Momentum ◽  
Model Calculation ◽  
Orbital Angular Momentum ◽  
Momentum Space ◽  
Recent Model ◽  
Parton Distributions ◽  
Transverse Momentum Dependent ◽  
Generalized Parton Distributions ◽  
Wigner Distributions

We present a recent model calculation of the Wigner distributions for the quarks and the orbital angular momentum carried by the quarks. These Wigner distributions contain combined position and momentum space information of the quark distributions and are related to both generalized parton distributions (GPDs) and transverse momentum dependent parton distributions (TMDs).

scholarly journals Transverse-momentum-dependent parton distributions up to N3LL from Drell-Yan data

2020 ◽  
Vol 2020 (7) ◽  
Author(s):  
Alessandro Bacchetta ◽  
Valerio Bertone ◽  
Chiara Bissolotti ◽  
Giuseppe Bozzi ◽  
Filippo Delcarro ◽  
...  
Keyword(s):  
Transverse Momentum ◽  
Parton Distributions ◽  
Transverse Momentum Dependent

scholarly journals Nucleon transverse momentum-dependent parton distributions from domain wall fermion calculations at 297 MeV pion mass

2015 ◽  
Author(s):  
Michael Engelhardt ◽  
Bernhard Musch ◽  
Tanmoy Bhattacharya ◽  
Rajan Gupta ◽  
Ph. Hagler ◽  
...  
Keyword(s):  
Transverse Momentum ◽  
Domain Wall ◽  
Pion Mass ◽  
Parton Distributions ◽  
Transverse Momentum Dependent ◽  
Domain Wall Fermion

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

2015 ◽  
Vol 30 (02) ◽  
pp. 1550010 ◽  
Author(s):  
Narinder Kumar ◽  
Harleen Dahiya
Keyword(s):  
Fourier Transform ◽  
Transverse Momentum ◽  
Diffraction Pattern ◽  
Wave Functions ◽  
Position Space ◽  
Parton Distributions ◽  
Generalized Parton Distributions ◽  
The Fourier Transform ◽  
Longitudinal Position ◽  
Transverse Position

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 nonflip H(x, ζ, t) and spin flip E(x, ζ, t) parts of GPDs for the particle conserving n → n overlap in the DGLAP region (ζ < x < 1). The Fourier transform (FT) of the GPDs with respect to the transverse momentum transfer as well as the FT of the GPDs with respect to ζ has also been obtained by 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 [Formula: see text] and [Formula: see text] in the longitudinal position space.

scholarly journals Wigner Distributions of Quark

2016 ◽  
Vol 40 ◽  
pp. 1660055
Author(s):  
Asmita Mukherjee ◽  
Sreeraj Nair ◽  
Vikash Kumar Ojha
Keyword(s):  
Phase Space ◽  
Wigner Distribution ◽  
Distribution Functions ◽  
Space Distribution ◽  
Parton Distributions ◽  
Transverse Momentum Dependent ◽  
Phase Space Distribution ◽  
Generalized Parton Distributions ◽  
Wigner Distributions ◽  
Classical Phase Space

Wigner distribution functions are the quantum analogue of the classical phase space distribution and being quantum implies that they are not genuine phase space distribution and thus lack any probabilistic interpretation. Nevertheless, Wigner distributions are still interesting since they can be related to both generalized parton distributions (GPDs) and transverse momentum dependent parton distributions (TMDs) under some limit. We study the Wigner distribution of quarks and also the orbital angular momentum (OAM) of quarks in the dressed quark model.

scholarly journals TMDlib and TMDplotter: library and plotting tools for transverse-momentum-dependent parton distributions

2014 ◽  
Vol 74 (12) ◽  
Author(s):  
F. Hautmann ◽  
H. Jung ◽  
M. Krämer ◽  
P. J. Mulders ◽  
E. R. Nocera ◽  
...  
Keyword(s):  
Transverse Momentum ◽  
Parton Distributions ◽  
Transverse Momentum Dependent
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