The NJL-jet model for quark fragmentation functions

Abstract

A description of fragmentation functions which satisfy the momentum and isospin sum rules is presented in an effective quark theory. Concentrating on the pion fragmentation function, we first explain why the elementary (lowest order) fragmentation process q --> q πis completely inadequate to describe the empirical data, although the "crossed" process π--> q \bar{q} describes the quark distribution functions in the pion reasonably well. Taking into account cascade-like processes in a generalized jet-model approach, we then show that the momentum and isospin sum rules can be satisfied naturally, without the introduction of ad hoc parameters. We present results for the Nambu--Jona-Lasinio (NJL) model in the invariant mass regularization scheme and compare them with the empirical parametrizations. We argue that the NJL-jet model, developed herein, provides a useful framework with which to calculate the fragmentation functions in an effective chiral quark theory.

21 pages, 7 figures

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Cited by in corpus (35)

• Parton Fragmentation Functions
• Role of diquark correlations and the pion cloud in nucleon elastic form factors
• Flavour dependence of the pion and kaon form factors and parton distribution functions
• Transverse Momentum Dependent Fragmentation and Quark Distribution Functions from the NJL-jet Model
• Features and flaws of a contact interaction treatment of the kaon
• TMDs of Spin-one Targets: Formalism and Covariant Calculations
• Parton-distribution functions for the pion and kaon in the gauge-invariant nonlocal chiral-quark model
• Calculating Kaon Fragmentation Functions from NJL-Jet Model
• Numerical solution of $Q^2$ evolution equations for fragmentation functions
• Dihadron Fragmentation Functions within the NJL-jet Model
• Monte Carlo Simulations of Hadronic Fragmentation Functions using NJL-Jet Model
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• Collins Fragmentation Function within NJL-jet Model
• Calculating Dihadron Fragmentation Functions in the NJL-jet model
• Several Topics on Transverse Momentum-Dependent Fragmentation Functions
• Dihadron fragmentation functions in the quark-jet model: Transversely polarized quarks
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• Quark-Jet model for transverse momentum dependent fragmentation functions
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• Semi-inclusive back-to-back production of a hadron pair and a single hadron in $e^{+}{e}^{-}$ annihilation
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• Parton distribution and fragmentation functions with massive gluons
• Graphical Structure of Hadronization and Factorization in Hard Collisions
• Unpolarized fragmentation function for the pion and kaon via the nonlocal chiral-quark model