Abstract
In this paper we investigate the fragmentation function for heavy quarkanium using a global potential model. We employ the invariant vertex factor under parity, Lorentz transverse and invariant amplitude scattering for the fragmentation function. In the heavy quark limit we have obtained the S-wave analytical fragmentation functions for the heavy mesons at leading order perturbative QCD. The wave function of the bound state for mesons was set at origin of the framework. The fragmentation function is calculated with respect to the Z and Pt variables for m1+m2 and Mexperimental scales. In order to examine the accuracy of our calculations, the obtained results compared to the BFGW method.
Highlights
Light quarks fragmentation has been studied in various models [1]
In order to avoiding the limitation of nucleus size of hadrons, we have used invariant amplitude and wave function at origin using a global potential
With the choice of the wave function at origin according to a global potential that is obtained from [14], the fragmentation function for massive quark has the following general form, as:
Summary
Light quarks fragmentation has been studied in various models [1]. These models include statistical manner as if the fragmentation parameter increase we observe that the fragmentation function decreases. After b and c quarks were discovered, the fragmentation mechanism of these quarks was described by Peterson in a quantum-mechanical model [2] Another models used both on experimental and theoretical approaches [3, 4]. In applied theoretical model the wave function at origin describe the heavy quark system in limited range of hadron. New chances have been brought up to apply non-relativity methods that are successful for bounded states in high-energy physics, which have been considered in the discovery of massive flavor mesons. For studying these mesons, evaluation of the Schrödinger equation is very important [6].
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