Estimate of the Collins fragmentation function in a chiral invariant approach

Abstract

We predict the features of the Collins function, which describes the fragmentation of a transversely polarized quark into an unpolarized hadron, by modeling the fragmentation process at a low energy scale. We use the chiral invariant approach of Manohar and Georgi, where constituent quarks and Goldstone bosons are considered as effective degrees of freedom in the non-perturbative regime of QCD. To test the approach we calculate the unpolarized fragmentation function and the transverse momentum distribution of a produced hadron, both of which are described reasonably well. In the case of semi-inclusive deep-inelastic scattering, our estimate of the Collins function in connection with the transversity distribution gives rise to a transverse single spin asymmetry of the order of 10%, supporting the idea of measuring the transversity distribution of the nucleon in this way. In the case of e+ e- annihilation into two hadrons, our model predicts a Collins azimuthal asymmetry of about 5%.

12 pages, 15 figures. Figs. 11-14 changed, minor changes in discussion, few typos fixed and some references added. Final version to appear in PRD

References in corpus (5)

• Transverse Polarisation of Quarks in Hadrons
• Single-spin Azimuthal Asymmetries in Electroproduction of Neutral Pions in Semi-inclusive Deep-inelastic Scattering
• Fragmentation functions from semi-inclusive DIS pion production and implications for the polarized parton densities
• Azimuthal asymmetry in electro-production of neutral pions in SIDIS
• Azimuthal Spin Asymmetries of Pion Electroproduction

Cited by in corpus (50)

• Single-spin asymmetries in semi-inclusive deep-inelastic scattering on a transversely polarized hydrogen target
• Universality of T-odd effects in single spin and azimuthal asymmetries
• Measurement of Azimuthal Asymmetries in Inclusive Production of Hadron Pairs in e+e- Annihilation at Belle
• Parton Fragmentation Functions
• Measurement of Azimuthal Asymmetries in Inclusive Production of Hadron Pairs in e+e- Annihilation at \sqrt{s} = 10.58 GeV
• Single-Transverse Spin Asymmetries: From DIS to Hadronic Collisions
• Investigations into the flavor dependence of partonic transverse momentum
• Sivers effect in semi-inclusive deeply inelastic scattering
• Measurement of Beam-Spin Asymmetries for Deep Inelastic ${\pi }^{+}$ Electroproduction
• Gluon-Exchange in Spin-Dependent Fragmentation
• Azimuthal spin asymmetries in light-cone constituent quark models
• Angular dependences in inclusive two-hadron production at BELLE
• Three-Quark Light-Cone Amplitudes of The Proton And Quark-Orbital-Motion Dependent Observables
• Collins fragmentation function for pions and kaons in a spectator model
• 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
• Azimuthal asymmetries at CLAS: Extraction of e^a(x) and prediction of A_{UL}
• Transverse Momentum Dependent Fragmentation and Quark Distribution Functions from the NJL-jet Model
• Modeling dihadron fragmentation functions
• Reviewing model calculations of the Collins fragmentation function
• Pretzelosity distribution function h_1T^perp and the single spin asymmetry A_UT^sin(3phi-phi_S)
• Beam-Spin Asymmetries in the Azimuthal Distribution of Pion Electroproduction
• Spectral analysis of gluonic pole matrix elements for fragmentation
• Are there approximate relations among transverse momentum dependent distribution functions?
• A mechanism for the T-odd pion fragmentation function
• Gluonic Pole Cross Sections and Single Spin Asymmetries in Hadron-Hadron Scattering
• Sivers vs. Collins effect in azimuthal single spin asymmetries in pion production in SIDIS
• The transverse structure of the pion in momentum space inspired by the AdS/QCD correspondence
• Effects of TMD evolution and partonic flavor on $e^{+}{e}^{-}$ annihilation into hadrons
• Single transverse spin asymmetry of prompt photon production
• Collins fragmentation function from gluon rescattering
• Azimuthal single spin asymmetries in SIDIS in the light of chiral symmetry breaking
• Momentum sum rules for fragmentation functions
• Insights on non-perturbative aspects of TMDs from models
• Collins effect and single spin azimuthal asymmetries in the HERMES and COMPASS experiments
• Quark fragmentation in the $\theta$-vacuum
• Collins Fragmentation Function within NJL-jet Model
• Twist-3 T-odd fragmentation functions $G^{\perp }$ and ${\tilde{G}}^{\perp }$ in a spectator model
• Several Topics on Transverse Momentum-Dependent Fragmentation Functions
• Fragmentation functions and parton distribution functions for the pion with the nonlocal interactions
• Fragmentation and quark distribution functions for the pion and kaon with explicit flavor-SU(3)-symmetry breaking
• Sivers function of sea quarks in the light-cone model
• The quark-jet contribution to the fragmentation functions for the pion and kaon with the nonlocal interactions
• Spin Orbit Correlations and the Structure of the Nucleon
• Double Collins effect in $e^{+}{e}^{-}\to \Lambda \bar{\Lambda }X$ process in a diquark spectator model
• Predicting the $\sin {\varphi }_S$ Single-Spin-Asymmetry of $\Lambda$ Production off transversely polarized nucleon in SIDIS
• Single spin asymmetry $A_{UL}^{\sin ({\varphi }_h-{\varphi }_R)}$ in dihadron semi-inclusive DIS
• Single spin asymmetry $A_{UL}^{\sin (2{\varphi }_h-2{\varphi }_R)}$ in dihadron semi-inclusive DIS
• Unpolarized fragmentation function for the pion and kaon via the nonlocal chiral-quark model
• Recent developments in nucleon spin structure with focus on h_{1L}^{\perp} and pretzelosity h_{1T}^\perp