2024/12/27 by Roberto Correa da Silveira, da Silveira, Roberto Correa, Fernando E. Serna +3
Physics and Astronomy · #FOS: Physical sciences #High Energy Physics - Experiment (hep-ex) #High Energy Physics - Phenomenology (hep-ph) #High-Energy Particle Collisions Research #Nuclear Experiment (nucl-ex) #Nuclear Theory (nucl-th) #Particle physics theoretical and experimental studies #Quantum Chromodynamics and Particle Interactions
paper · pdf · doi:10.48550/arxiv.2412.19907
openalex publication_date 2024/12/27 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/01
The elementary fragmentation function that describes the process q→ π is predicted applying crossing and charge symmetry to the cut diagram of the pion valence quark distribution function. This elementary probability distribution defines the ladder-kernel of a quark jet fragmentation equation, which is solved self-consistently to obtain the full pion fragmentation function. The hadronization into a pion employs the complete Poincaré invariant Bethe-Salpeter wave function, though the overwhelming contribution to the fragmentation function is due the leading Bethe-Salpeter amplitude. Compared to a Nambu--Jona-Lasinio model prediction, the fragmentation function we obtain is enhanced in the range z \lesssim 0.8 but otherwise in good qualitative agreement. The full pion fragmentation function is overall greater than the elementary fragmentation function below z\lesssim 0.6.