Reviewing model calculations of the Collins fragmentation function

Abstract

The Collins fragmentation function describes a left/right asymmetry in the fragmentation of a transversely polarized quark into a hadron in a jet. Four different model calculations of the Collins function have been presented in the literature. While based on the same concepts, they lead to different results and in particular to different signs for the Collins function. The purpose of the present work is to review the features of these models and correct some errors made in previous calculations. A full study of the parameter dependence and the possible modifications to these models is beyond the scope of the paper. However, some general conclusions are drawn.

References in corpus (6)

• Single-spin asymmetries in semi-inclusive deep-inelastic scattering on a transversely polarized hydrogen target
• Single-spin asymmetries: the Trento conventions
• Universality of soft and collinear factors in hard-scattering factorization
• Parton intrinsic motion: suppression of the Collins mechanism for transverse single spin asymmetries in p(transv. polarised) p --> pion + X
• Non-zero transversity distribution of the pion in a quark-spectator-antiquark model
• Azimuthal single spin asymmetries in SIDIS in the light of chiral symmetry breaking

Cited by in corpus (50)

• 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
• Single spin asymmetries in hadron-hadron collisions
• Angular dependences in inclusive two-hadron production at BELLE
• Collins fragmentation function for pions and kaons in a spectator model
• Collins effect in semi-inclusive deeply inelastic scattering and in electron positron annihilation
• Azimuthal Asymmetric Distribution of Hadrons Inside a Jet at Hadron Collider
• Transverse Momentum Dependent Fragmentation and Quark Distribution Functions from the NJL-jet Model
• Modeling dihadron fragmentation functions
• Transverse Spin Structure of the Nucleon through Target Single Spin Asymmetry in Semi-Inclusive Deep-Inelastic $(e,e^{\prime }{\pi }^{\pm })$ Reaction at Jefferson Lab
• Spectral analysis of gluonic pole matrix elements for fragmentation
• The NJL-jet model for quark fragmentation functions
• Neutron single spin asymmetries from semi-inclusive deep inelastic scattering off transversely polarized ${}^3$He
• Calculating Kaon Fragmentation Functions from NJL-Jet Model
• Precise Measurements of Beam Spin Asymmetries in Semi-Inclusive ${\pi }^0$ production
• Collins Asymmetry at Hadron Colliders
• Single transverse spin asymmetry of prompt photon production
• Momentum sum rules for fragmentation functions
• Quark fragmentation in the $\theta$-vacuum
• Collins Fragmentation Function within NJL-jet Model
• Transverse polarization of the $\Lambda$ hyperon from unpolarized quark fragmentation in the diquark 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
• Quark-Jet model for transverse momentum dependent fragmentation functions
• Fragmentation and quark distribution functions for the pion and kaon with explicit flavor-SU(3)-symmetry breaking
• Monte Carlo Implementation of Polarized Hadronization
• Partonic State and Single Transverse Spin Asymmetries in Semi Inclusive DIS
• Single-spin asymmetry in dihadron production in SIDIS off the longitudinally polarized nucleon target
• T-even transverse momentum dependent gluon fragmentation functions in a spectator model
• Sivers function of sea quarks in the light-cone model
• Final state interactions and the extraction of neutron single spin asymmetries from SIDIS by a transversely polarized ${}^3$He target
• 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
• Effects of Quark Spin Flip on the Collins Fragmentation Function in a Toy Model
• Azimuthal asymmetries from $\theta$ Vacuum
• Studies of spin-orbit correlations at JLAB
• A Method of Experimentally Probing Transeverse Momentum Dependent Distributions
• Single spin asymmetry $A_{UL}^{\sin ({\varphi }_h-{\varphi }_R)}$ in dihadron semi-inclusive DIS
• Double Spin Asymmetries through QCD Instantons
• The cos${\varphi }_R$ asymmetry of dihadron production in double longitudinally polarized SIDIS
• Single spin asymmetry $A_{UL}^{\sin (2{\varphi }_h-2{\varphi }_R)}$ in dihadron semi-inclusive DIS
• Transverse spin polarization as a novel probe of medium-induced transverse-momentum-broadening effect
• Unpolarized fragmentation function for the pion and kaon via the nonlocal chiral-quark model
• Transversity studies with protons and light nuclei
• The neutron transversity from semi-inclusive DIS off 3He