Transverse-momentum-dependent fragmentation and quark distribution functions from the Nambu-Jona-Lasinio-jet model

(ProQuest: ... denotes formulae and/or non-USASCII text omitted) Using the model of Nambu and Jona-Lasinio to provide a microscopic description of both the structure of the nucleon and of the quark to hadron elementary fragmentation functions, we investigate the transverse-momentum dependence of the...

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Bibliographic Details
Published in:Physical Review D (Particles, Fields, Gravitation and Cosmology) Fields, Gravitation and Cosmology), 2012-01, Vol.85 (1)
Main Authors: Matevosyan, Hrayr H, Bentz, Wolfgang, Cloet, Ian C, Thomas, Anthony W
Format: Article
Language:English
Subjects:
Brackets
Fragmentation
Hadrons
Kaons
Mathematical models
Monte Carlo methods
Nucleons
Pions
Quarks
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Summary:(ProQuest: ... denotes formulae and/or non-USASCII text omitted) Using the model of Nambu and Jona-Lasinio to provide a microscopic description of both the structure of the nucleon and of the quark to hadron elementary fragmentation functions, we investigate the transverse-momentum dependence of the unpolarized quark distributions in the nucleon and of the quark to pion and kaon fragmentation functions. The transverse-momentum dependence of the fragmentation functions is determined within a Monte Carlo framework, with the notable result that the average ... of the produced kaons is significantly larger than that of the pions. We also find that [left angle bracket]...[right angle bracket] has a sizable z dependence, in contrast with the naive Gaussian ansatz for the fragmentation functions. Diquark correlations in the nucleon give rise to a nontrivial flavor dependence in the unpolarized transverse-momentum-dependent quark distribution functions. The [left angle bracket]...[right angle bracket] of the quarks in the nucleon are also found to have a sizable x dependence. Finally, these results are used as input to a Monte Carlo event generator for semi-inclusive deep inelastic scattering (SIDIS), which is used to determine the average transverse momentum squared of the produced hadrons measured in SIDIS, namely, [left angle bracket]...[right angle bracket]. Again, we find that the average ... of the produced kaons in SIDIS is significantly larger than that of the pions and in each case [left angle bracket]...[right angle bracket] has a sizable z dependence.
ISSN:1550-7998
1089-4918
DOI:10.1103/PhysRevD.85.014021