Abstract
Similar to the radiative parton energy loss due to gluon bremsstrahlung, elastic energy loss of a parton undergoing multiple scattering in a finite medium is demonstrated to be sensitive to interference effect. The interference between amplitudes of elastic scattering via a gluon exchange and that of gluon radiation reduces the effective elastic energy loss in a finite medium and gives rise to a non-trivial length dependence. The reduction is most significant for a propagation length L<4/πT in a medium with a temperature T. Though the finite size effect is not significant for the average parton propagation in the most central heavy-ion collisions, it will affect the centrality dependence of its effect on jet quenching.
Highlights
Similar to the radiative parton energy loss due to gluon bremsstrahlung, elastic energy loss of a parton undergoing multiple scattering in a finite medium is demonstrated to be sensitive to interference effect
One of the remarkable phenomena observed in central nucleus-nucleus collisions at the Relativistic Heavy-ion Collider (RHIC) is jet quenching as manifested in the suppression of high transverse momentum hadron spectra [1,2], azimuthal angle anisotropy [4] and suppression of the away-side two-hadron correlations [5]
In a finite medium when the propagation length is comparable to the formation time, the interference should reduce the effective elastic energy loss as compared to an infinite medium
Summary
Similar to the radiative parton energy loss due to gluon bremsstrahlung, elastic energy loss of a parton undergoing multiple scattering in a finite medium is demonstrated to be sensitive to interference effect. In a finite medium when the propagation length is comparable to the formation time, the interference should reduce the effective elastic energy loss as compared to an infinite medium. We will consider the elastic scattering within the same framework of multiple parton that was employed to study the radiative energy loss [14,15].
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