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

2011/11/30 by Hrayr H. Matevosyan, Wolfgang Bentz, Ian C. Cloët +2 · 2 citations
Physics and Astronomy · #Deep inelastic scattering #Diquark #Fragmentation (computing) #Hadron #High-Energy Particle Collisions Research #Inelastic scattering #Monte Carlo method #Nuclear physics #Nucleon #Particle physics #Particle physics theoretical and experimental studies #Physics #Pion #Quantum Chromodynamics and Particle Interactions #Quantum mechanics #Quark #Scattering #hep-ph #nucl-th

paper · pdf · doi:10.1103/physrevd.85.014021

published as Phys.Rev.D85:014021,2012 · 13 pages, 17 figures, v2: minor revisions to conform with the published version in Phys.Rev.D

openalex publication_date 2012/01/18 · arxiv created 2012/01/19 · arxiv updated 2012/01/20 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05

Abstract

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 P_\ensuremath⊥² of the produced kaons is significantly larger than that of the pions. We also find that ⟨P_\ensuremath⊥²⟩ 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 ⟨k_T²⟩ 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, ⟨P_T²⟩. Again, we find that the average P_T² of the produced kaons in SIDIS is significantly larger than that of the pions and in each case ⟨P_T²⟩ has a sizable z dependence.

Citations

• Monte Carlo simulations of hadronic fragmentation functions using the Nambu–Jona-Lasinio–jet model
• Dynamical Model of Elementary Particles Based on an Analogy with Superconductivity. I
• EMC and polarized EMC effects in nuclei
• NJL model on the light cone and pion structure function
• Nucleon quark distributions in a covariant quark–diquark model
• Modelling quark distribution and fragmentation functions
• The stability of nuclear matter in the Nambu–Jona-Lasinio model
• Spin-Dependent Structure Functions in Nuclear Matter and the Polarized EMC Effect
• Transverse-momentum distributions in a diquark spectator model
• Single-spin production asymmetries from the hard scattering of pointlike constituents
• Dynamical Model of Elementary Particles Based on an Analogy with Superconductivity. II

Cited by

• Quark fragmentation as a probe of dynamical mass generation
• Transverse momentum and transverse momentum distributions in the MIT bag model