Non-Abelian energy loss in cold nuclear matter

Abstract

We use a formal recurrence relation approach to multiple parton scattering to find the complete solution to the problem of medium-induced gluon emission from partons propagating in cold nuclear matter. The differential bremsstrahlung spectrum, where Landau-Pomeranchuk-Migdal destructive interference effects are fully accounted for, is calculated for three different cases: (1) a generalization of the incoherent Bertsch-Gunion solution for asymptotic on-shell jets, (2) initial-state energy loss of incoming jets that undergo hard scattering and (3) final-state energy loss of jets that emerge out of a hard scatter. Our analytic solutions are given as an infinite opacity series, which represents a cluster expansion of the sequential multiple scattering. These new solutions allow, for the first time, direct comparison between initial- and final-state energy loss in cold nuclei. We demonstrate that, contrary to the naive assumption, energy loss in cold nuclear matter can be large. Numerical results to first order in opacity show that, in the limit of large jet energies, initial- and final-state energy losses exhibit different path length dependences, linear versus quadratic, in contrast to earlier findings. In addition, in this asymptotic limit, initial-state energy loss is considerably larger than final-state energy loss. These new results have significant implications for heavy ion phenomenology in both p+A and A+A reactions.

20 pages, 9 .ps and .eps figures, As published in Phys. Rev. C

References in corpus (18)

• Reaction Operator Approach to Non-Abelian Energy Loss
• Energy loss in perturbative QCD
• Non-Abelian Energy Loss at Finite Opacity
• Evolution of the nuclear modification factors with rapidity and centrality in d+Au collisions at $\sqrt{s_{NN}} = 200 GeV
• Heavy Quark Radiative Energy Loss in QCD Matter
• Jet Quenching in Thin Quark-Gluon Plasmas I: Formalism
• Energy Loss of Charm Quarks in the Quark-Gluon Plasma: Collisional vs Radiative
• Forward Neutral Pion Production in p+p and d+Au Collisions at sqrt(s_NN)=200 GeV
• Collisional dissociation of heavy mesons in dense QCD matter
• Large Angle Hadron Correlations from Medium-Induced Gluon Radiation
• Breakdown of QCD factorization at large Feynman x
• Coherent QCD multiple scattering in proton-nucleus collisions
• Reaction Operator Approach to Multiple Elastic Scatterings
• Nuclear Modification Factors for Hadrons At Forward and Backward Rapidities in Deuteron-Gold Collisions at sqrt(s_NN) = 200 GeV
• Observations on dA scattering at forward rapidities
• Jet tomography
• Collisional Energy Loss of Non Asymptotic Jets in a QGP
• Open charm tomography of cold nuclear matter

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