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Helicity probabilities for heavy quark fragmentation into excited mesons

1994/07/20 by Tzu-Chiang Yuan, Tzu Chiang Yuan · 11 citations
Physics and Astronomy · #Excited state #Heavy quark effective theory #Helicity #High-Energy Particle Collisions Research #Meson #Nuclear physics #Particle physics #Particle physics theoretical and experimental studies #Physics #Quantum Chromodynamics and Particle Interactions #Quantum chromodynamics #Quark #Quarkonium #hep-ph

paper · pdf · doi:10.1103/physrevd.51.4830

published in Physical review. D. Particles, fields, gravitation, and cosmology/Physical review. D. Particles and fields 51(9), 4830-4836 (American Physical Society) · 10 pages, Latex file plus 3 figures with postscript files appended at the end

arxiv created 1994/07/20 · openalex publication_date 1995/05/01 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05

Abstract

In the fragmentation of a heavy quark into a heavy meson whose light degrees of freedom have angular momentum 3/2, all the helicity probabilities are completely determined in the heavy quark limit up to a single probability w3/2. We point out that this probability depends on the longitudinal momentum fraction z of the meson and on its transverse momentum p_\mathrm\ensuremath⊥ relative to the jet axis. We calculate w3/2 as a function of scaling variables corresponding to z and p_\mathrm\ensuremath⊥ by taking the heavy quark limit of the perturbative QCD fragmentation functions for a b quark to fragment into P-wave (bc\ifmmode\else\textasciimacron\fi) mesons. In this model, the light degrees of freedom prefer to have their angular momentum aligned transverse to, rather than along, the jet axis. The implications for the production of excited heavy mesons, such as D** and B**, are discussed.

Citations