Helicity probabilities for heavy quark fragmentation into excited mesons

Tzu Chiang Yuan
1995 Physical Review D, Particles and fields  
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 w_3/2. We point out that this probability depends on the longitudinal momentum fraction z of the meson and on its transverse momentum p_ relative to the jet axis. We calculate w_3/2 as a function of scaling variables corresponding to z and p_ for the heavy quark limit of the
more » ... perturbative QCD fragmentation functions for b quark to fragment into (b c̅) mesons. In this model, the light degrees of freedom prefer to have their angular momentum aligned transverse to, rather than along, the jet axis. Implications for the production of excited heavy mesons, like D^** and B^**, are discussed.
doi:10.1103/physrevd.51.4830 pmid:10018958 fatcat:w32ynyhpwjcotb7wjccugz5bji