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Pion fragmentation functions from a quark-jet model in a functional approach

Roberto Correa da Silveira1,2, Fernando E. Serna3, and Bruno El-Bennich2,4

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Phys. Rev. C 111, 065204 – Published 24 June, 2025

DOI: https://doi.org/10.1103/bvtp-cgnv

Abstract

The elementary fragmentation function that describes the process q→π is predicted by 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 to the leading Bethe-Salpeter amplitude. Compared to a Nambu–Jona–Lasinio model prediction, the fragmentation function we obtain is enhanced in the range z≲0.8 but otherwise in good qualitative agreement. The full pion fragmentation function is overall greater than the elementary fragmentation function below z≲0.6.

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Information

Phys. Rev. C 111, 065204– Published 24 June, 2025
  • Received 2 January 2025
  • Accepted 3 June 2025
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Published by the American Physical Society under the terms of the Creative Commons Attribution 4.0 International license. Further distribution of this work must maintain attribution to the author(s) and the published article's title, journal citation, and DOI. Funded by SCOAP3.

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