Analysis of two-particle jet correlations with a scaling formula

ORAL

Abstract

At DNP06, a new formula for the distribution of an associated away-side particle with transverse momentum $p_{T_a}$, which is presumed to be a fragment of an away-jet with $\hat{p}_{T_a}$, triggered by a particle with transverse momentum $p_{T_t}$, presumably from a trigger-side jet with $\hat{p}_{T_t}$, was given: \quad ${dP_{p_{T_a}}/dx_E}|_{p_{T_t}}\approx {{\langle{m}\rangle}\over\hat{x}_h} {(n-1)\over {(1+ {x_E /{\hat{x}_h}})^{n}}}$ \quad where $x_E\approx p_{T_a}/p_{T_t}$ is the ratio of the transverse momenta of the particles, $\hat{x}_h=\hat{p}_{T_a}/\hat{p}_{T_t}$ is the ratio of the transverse momenta of the away-side to trigger-side jets, and $\langle m\rangle$ is the mean multiplicity of particles in the away jet. Many analyses of the away-jet $p_{T_a}$ distributions in Au+Au collisions are available; but these tend to describe the effect of the medium with the variable $I_{AA}(x_E)$, the ratio of the $x_E$ distribution in A+A collisions to that in p-p collisions, which typically shows an enhancement at low values of $x_E$ and a suppression at higher values of $x_E$. Such behavior could be explained as a decrease in $\hat{x}_h$ in A+A collisions due to energy loss of the away jet in the medium. Fits of the above formula to the available data will be presented to establish whether: a) the away-jets simply lose energy; b) some of the away-jets lose energy, others punch-through without losing energy; etc.

Authors

  • Michael Tannenbaum

    Brookhaven National Laboratory