Analyzing the Boer-Mulders function within different quark models

Abstract

A general formalism for the evaluation of time reversal odd parton distributions is applied here to calculate the Boer-Mulders function. The same formalism when applied to evaluate the Sivers function led to results which fulfill the Burkardt sum rule quite well. The calculation here has been performed for two different models of proton structure: a constituent quark model and the MIT bag model. In the latter case, important differences are found with respect to a previous evaluation in the same framework, a feature already encountered in the calculation of the Sivers function. The results obtained are consistent with the present wisdom, i.e., the contributions for the $u$ and $d$ flavors turn out to have the same sign, following the pattern suggested analyzing the model independent features of the impact parameter dependent generalized parton distributions. It is therefore confirmed that the present approach is suitable for the analysis of time reversal odd distribution functions. A critical comparison between the outcomes of the two models, as well as between the results of the calculations for the Sivers and Boer-Mulders functions, is also carried out.

26 pages, 5 figures. References added. Final version accepted for publication in Phys. Rev. D

References in corpus (49)

• Fragmentation of Transversely Polarized Quarks Probed in Transverse Momentum Distributions
• Leading-twist Single-transverse-spin asymmetries: Drell-Yan and Deep-Inelastic Scattering
• Time-reversal odd distribution functions in leptoproduction
• JaxoDraw: A graphical user interface for drawing Feynman diagrams
• Final-State Interactions and Single-Spin Asymmetries in Semi-Inclusive Deep Inelastic Scattering
• QCD Factorization for Semi-Inclusive Deep-Inelastic Scattering at Low Transverse Momentum
• Impact Parameter Space Interpretation for Generalized Parton Distributions
• Final state interactions and gauge invariant parton distributions
• Transverse Polarisation of Quarks in Hadrons
• Single-spin asymmetries: the Trento conventions
• Universality of soft and collinear factors in hard-scattering factorization
• Parton Distributions in Light-Cone Gauge: Where Are the Final-State Interactions?
• Relations between generalized and transverse momentum dependent parton distributions
• Transverse-momentum distributions in a diquark spectator model
• Prospects for Spin Physics at RHIC
• Investigating the origins of transverse spin asymmetries at RHIC
• The role of Cahn and Sivers effects in Deep Inelastic Scattering
• Single-Transverse Spin Asymmetries: From DIS to Hadronic Collisions
• Extracting the Sivers function from polarized SIDIS data and making predictions
• Structure Functions are not Parton Probabilities
• Transverse spin structure of the nucleon from lattice QCD simulations
• Impact Parameter Dependent Parton Distributions and Transverse Single Spin Asymmetries
• Sivers effect in semi-inclusive deeply inelastic scattering
• Sivers function in a spectator model with axial-vector diquarks
• Transverse Quark Spin Effects and the Flavor Dependence of the Boer-Mulders Function
• Evolution of twist-3 multi-parton correlation functions relevant to single transverse-spin asymmetry
• Sivers Function in the MIT Bag Model
• Chromodynamic Lensing and Transverse Single Spin Asymmetries
• Next-to-leading Order Calculation of the Single Transverse Spin Asymmetry in the Drell-Yan Process
• Novel Transversity Properties in Semi-Inclusive Deep Inelastic Scattering
• Measurement of Angular Distributions of Drell-Yan Dimuons in p + d Interaction at 800 GeV/c
• Sivers Asymmetry and Generalized Parton Distributions in Impact Parameter Space
• Wilson lines and transverse-momentum dependent parton distribution functions: A renormalization-group analysis
• Quark Correlations and Single Spin Asymmetries
• QCD Evolution of the Transverse Momentum Dependent Correlations
• Sivers Mechanism for Gluons
• Are all Boer-Mulders functions alike?
• Nucleon spin densities in a light-front constituent quark model
• A quark model analysis of the Sivers function
• Measurement of Angular Distributions of Drell-Yan Dimuons in $p+p$ Interactions at 800 GeV/c
• A systematic phenomenological study of the $\cos 2\varphi$ asymmetry in unpolarized semi--inclusive DIS
• A mechanism for the T-odd pion fragmentation function
• Extracting Boer-Mulders functions from $p+D$ Drell-Yan processes
• Model calculations of the Sivers function satisfying the Burkardt Sum Rule
• A quark model analysis of the transversity distribution
• Measurement of azimuthal asymmetries of the unpolarized cross section at HERMES
• An application of transverse-momentum-dependent evolution equations in QCD
• A Quark Model Analysis of Orbital Angular Momentum
• Transverse Momentum in Semi-inclusive Deep Inelastic Scattering

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• The Spin Structure of the Nucleon
• The Boer-Mulders effect in unpolarized SIDIS: an analysis of the COMPASS and HERMES data on the $\cos 2\varphi$ asymmetry
• Sivers and Boer-Mulders functions in Light-Cone Quark Models
• On the Origin of Model Relations among Transverse-Momentum Dependent Parton Distributions
• Double parton correlations in constituent quark models
• Naive time-reversal odd phenomena in semi-inclusive deep-inelastic scattering from light-cone constituent quark models
• Azimuthal asymmetries in unpolarized Drell-Yan processes and the Boer-Mulders distributions of antiquarks
• Updating Boer-Mulders functions from unpolarized pd and pp Drell-Yan data
• Modelling the nucleon structure
• Transverse Momentum Dependent Parton Distribution/Fragmentation Functions at an Electron-Ion Collider
• Nucleon parton distributions in a light-front quark model
• Boer-Mulders effect in the unpolarized pion induced Drell-Yan process at COMPASS within TMD factorization
• Boer-Mulders function of pion meson and $q_T$-weighted $\cos 2\varphi$ asymmetry in the unpolarized ${\pi }^{-}p$ Drell-Yan at COMPASS
• Non-perturbative momentum dependence of the coupling constant and hadronic models
• Boer-Mulders function of the pion in the MIT bag model
• The $\cos 2\varphi$ azimuthal asymmetry of unpolarized dilepton production at the $Z$-pole
• Quark Orbital Angular Momentum in the MIT Bag Model
• The $\sin (2\varphi -{\varphi }_S)$ azimuthal asymmetry in the pion induced Drell-Yan process within TMD factorization
• New study of the Boer-Mulders function: Implications for the quark and hadron transverse momenta
• Nuclear dependences of azimuthal asymmetries in the Drell-Yan process
• On the Role of the Running Coupling Constant in a Quark Model Analysis of T-odd TMDs
• Consistency tests for the extraction of the Boer-Mulders and Sivers functions
• Mapping the internal structure of hadrons through color and spin effects
• The quark quasi Sivers function and quasi Boer-Mulders function in a spectator diquark model
• Transverse-Momentum Distributions and Spherical Symmetry
• Transversity studies with protons and light nuclei
• Azimuthal asymmetries in exclusive four-particle "Drell-Yan" events, with lepton-antilepton plus proton-antiproton detection, in proton-antiproton scattering
• The role of the running coupling constant in the unveiling of the hadronic structure