Modified Fragmentation Function from Quark Recombination

Abstract

Within the framework of the constituent quark model, it is shown that the single hadron fragmentation function of a parton can be expressed as a convolution of shower diquark or triquark distribution function and quark recombination probability, if the interference between amplitudes of quark recombination with different momenta is neglected. The recombination probability is determined by the hadron's wavefunction in the constituent quark model. The shower diquark or triquark distribution functions of a fragmenting jet are defined in terms of overlapping matrices of constituent quarks and parton field operators. They are similar in form to dihadron or trihadron fragmentation functions in terms of parton operator and hadron states. Extending the formalism to the field theory at finite temperature, we automatically derive contributions to the effective single hadron fragmentation function from the recombination of shower and thermal constituent quarks. Such contributions involve single or diquark distribution functions which in turn can be related to diquark or triquark distribution functions via sum rules. We also derive QCD evolution equations for quark distribution functions that in turn determine the evolution of the effective jet fragmentation functions in a thermal medium.

23 pages in RevTex with 8 postscript figures

References in corpus (7)

• Quark Coalescence for Charmed Mesons in Ultrarelativistic Heavy-Ion Collisions
• Matter in extremis: ultrarelativistic nuclear collisions at RHIC
• Recombination of Shower Partons at High $p_T$ in Heavy-Ion Collisions
• Recombination of shower partons in fragmentation processes
• The dihadron fragmentation function and its evolution
• Correlated Emission of Hadrons from Recombination of Correlated Partons
• Evolution of the parton dihadron fragmentation functions

Cited by in corpus (9)

• Coalescence Models For Hadron Formation From Quark Gluon Plasma
• Inclusive Hadron Production in the CERN-LHC Era
• Fragmentations Functions in Nuclear Media
• The QCD confinement transition: hadron formation
• Evaluating Results from the Relativistic Heavy Ion Collider with Perturbative QCD and Hydrodynamics
• Quark Matter 2005: Experimental Conference Summary
• Collisional parton energy loss in a finite size QCD medium revisited: Off mass-shell effects
• Light-front wavefunction dependence of the quark recombination
• Hadronization effects on transverse momentum dependent jet fragmentation function in small systems