Relativistic diffusion model and analysis of large transverse momentum distributions
Abstract
In order to describe large transverse momentum (
p
T
) distributions observed in high energy nucleus-nucleus collisions, a stochastic model in the three dimensional rapidity space is introduced.
The fundamental solution of the radial symmetric diffusion equation is Gaussian-like in radial rapidity.
We can also derive a
p
T
or radial rapidity distribution function, where a distribution of emission center is taken into account. It is applied to the analysis of observed large
p
T
distributions of charged particles. It is shown that our model approaches to a power function of
p
T
in the high transverse momentum limit.