The transverse momentum dependent distribution functions in the bag model

Abstract

Leading and subleading twist transverse momentum dependent parton distribution functions (TMDs) are studied in a quark model framework provided by the bag model. A complete set of relations among different TMDs is derived, and the question is discussed how model-(in)dependent such relations are. A connection of the pretzelosity distribution and quark orbital angular momentum is derived. Numerical results are presented, and applications for phenomenology discussed. In particular, it is shown that in the valence-x region the bag model supports a Gaussian Ansatz for the transverse momentum dependence of TMDs.

26 pages

References in corpus (35)

• Relations between generalized and transverse momentum dependent parton distributions
• Transverse-momentum distributions in a diquark spectator model
• Sivers Effect for Pion and Kaon Production in Semi-Inclusive Deep Inelastic Scattering
• Measurement of Azimuthal Asymmetries in Inclusive Production of Hadron Pairs in e+e- Annihilation at \sqrt{s} = 10.58 GeV
• Dilepton production from polarized hadron hadron collisions
• Fully Unintegrated Parton Correlation Functions and Factorization in Lowest Order Hard Scattering
• Transverse Quark Spin Effects and the Flavor Dependence of the Boer-Mulders Function
• Interplay of Spin and Orbital Angular Momentum in the Proton
• Measurement of Angular Distributions of Drell-Yan Dimuons in p + d Interaction at 800 GeV/c
• Azimuthal spin asymmetries in light-cone constituent quark models
• Wilson lines and transverse-momentum dependent parton distribution functions: A renormalization-group analysis
• Pretzelosity $h_{1T}^{\perp }$ and quark orbital angular momentum
• Renormalization, Wilson lines, and transverse-momentum dependent parton distribution functions
• Endpoint singularities in unintegrated parton distributions
• Collins effect in semi-inclusive deeply inelastic scattering and in electron positron annihilation
• Transverse momentum dependent distribution functions in a covariant parton model approach with quark orbital motion
• Bjorken Sum Rule and pQCD frontier on the move
• Effect of Orbital Angular Momentum on Valence-Quark Helicity Distributions
• A quark model analysis of the Sivers function
• Predictions for double spin asymmetry A_{LT} in Semi Inclusive DIS
• Measurement of Angular Distributions of Drell-Yan Dimuons in $p+p$ Interactions at 800 GeV/c
• Are there approximate relations among transverse momentum dependent distribution functions?
• A systematic phenomenological study of the $\cos 2\varphi$ asymmetry in unpolarized semi--inclusive DIS
• Drell-Yan processes, transversity and light-cone wavefunctions
• Light-cone divergence in twist-3 correlation functions
• Model calculations of the Sivers function satisfying the Burkardt Sum Rule
• Densities, Parton Distributions, and Measuring the Non-Spherical Shape of the Nucleon
• Single Transverse-Spin Asymmetries at Large-x
• Transverse momentum distributions of quarks in the nucleon from the Chiral Quark Soliton Model
• Measurement of azimuthal asymmetries of the unpolarized cross section at HERMES
• Parton distribution functions and quark orbital motion
• Phenomenological analysis of the nucleon spin contents and their scale dependence
• Instanton contribution to the Sivers function
• Azimuthal single-spin asymmetries in semi-inclusive deep-inelastic scattering on a transversely polarised hydrogen target
• The pretzelosity distribution function and intrinsic motion of the constituents in nucleon

Cited by in corpus (6)

• Quark Wigner Distributions and Orbital Angular Momentum
• Naive time-reversal odd phenomena in semi-inclusive deep-inelastic scattering from light-cone constituent quark models
• The relation between TMDs and PDFs in the covariant parton model approach
• Proposal for measuring new transverse momentum dependent parton distributions $g_{1T}$ and $h_{1L}^{\perp }$ through semi-inclusive deep inelastic scattering
• Single spin asymmetry in $\pi p$ Drell-Yan process
• Double Sivers effect asymmetries and their impact on transversity measurements at RHIC