FRAGMENTATION FUNCTIONS FOR BARYONS IN A QUARK-DIQUARK MODEL

A perturbative QCD calculation of heavy flavor quark fragmentation int o heavy flavor baryons is developed along the lines of corresponding h eavy meson models. The nonperturbative formation of the baryon is acco mplished by implementing the quark-diquark model of the baryons. Diqua rk color form factors are used to enable the integration over the virt ual heavy quark momentum. The resulting spin-independent functions for charmed and bottom quarks to fragment into charmed and bottom baryons with spin 1/2 and 3/2 are compared with recent data. Predictions are made for the spin-dependent fragmentation functions as well, particula rly for the functions (g) over cap(1) and (h) over cap(1) in the case of spin 1/2 baryons.