895 research outputs found
The NJL-jet model for quark fragmentation functions
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 \pi is completely inadequate to describe
the empirical data, although the "crossed" process \pi --> 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.Comment: 21 pages, 7 figure
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ArticleCLINICAL GASTROENTEROLOGY AND HEPATOLOGY. 5(3): XXXII (2007)journal articl
Quark-Jet model for transverse momentum dependent fragmentation functions
In order to describe the hadronization of polarized quarks, we discuss an
extension of the quark-jet model to transverse momentum dependent fragmentation
functions. The description is based on a product ansatz, where each factor in
the product represents one of the transverse momentum dependent splitting
functions, which can be calculated by using effective quark theories. The
resulting integral equations and sum rules are discussed in detail for the case
of inclusive pion production. In particular, we demonstrate that the
3-dimensional momentum sum rules are satisfied naturally in this transverse
momentum dependent quark-jet model. Our results are well suited for numerical
calculations in effective quark theories, and can be implemented in Monte-Carlo
simulations of polarized quark hadronization processes.Comment: 19 pages, 4 figure
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