Non-Abelian Bremsstrahlung and Azimuthal Asymmetries in High Energy p+A Reactions

Journal Article · Thu Sep 25 00:00:00 EDT 2014 · Physical Review. D, Particles, Fields, Gravitation and Cosmology

DOI:https://doi.org/10.1103/PhysRevD.90.054025· OSTI ID:1329557

Gyulassy, Miklos ^[1]; Vitev, Ivan Mateev ^[2]; Levai, Peter ^[3]; Biro, Tamas S. ^[3]

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1. MTA Wigner Research Centre for Physics, RMI, Budapest (Hungary); Columbia Univ., New York, NY (United States). Dept. of Physics
2. Los Alamos National Lab. (LANL), Los Alamos, NM (United States). Theoretical Division
3. MTA Wigner Research Centre for Physics, RMI, Budapest (Hungary)

Here we apply the GLV reaction operator solution to the Vitev-Gunion-Bertsch (VGB) boundary conditions to compute the all-order in nuclear opacity non-abelian gluon bremsstrahlung of event- by-event uctuating beam jets in nuclear collisions. We evaluate analytically azimuthal Fourier moments of single gluon, v$$M\atop{n}$$ {1}, and even number 2ℓ gluon, v$$M\atop{n}$$ {2ℓ} inclusive distributions in high energy p+A reactions as a function of harmonic $$n$$, target recoil cluster number, $$M$$, and gluon number, 2ℓ, at RHIC and LHC. Multiple resolved clusters of recoiling target beam jets together with the projectile beam jet form Color Scintillation Antenna (CSA) arrays that lead to character- istic boost non-invariant trapezoidal rapidity distributions in asymmetric B+A nuclear collisions. The scaling of intrinsically azimuthally anisotropic and long range in η nature of the non-Abelian bremsstrahlung leads to v_n moments that are similar to results from hydrodynamic models, but due entirely to non-Abelian wave interference phenomena sourced by the fluctuating CSA. Our analytic non-flow solutions are similar to recent numerical saturation model predictions but differ by predicting a simple power-law hierarchy of both even and odd v_n without invoking k_T factorization. A test of CSA mechanism is the predicted nearly linear η rapidity dependence of the v_n(k_Tη). Non- Abelian beam jet bremsstrahlung may thus provide a simple analytic solution to Beam Energy Scan (BES) puzzle of the near $$\sqrt{s}$$ independence of v_n(pT) moments observed down to 10 AGeV where large-x valence quark beam jets dominate inelastic dynamics. Recoil bremsstrahlung from multiple independent CSA clusters could also provide a partial explanation for the unexpected similarity of v_n in p(D) + A and non-central A + A at same dN=dη multiplicity as observed at RHIC and LHC.

• Research Organization: Los Alamos National Laboratory (LANL), Los Alamos, NM (United States)
• Sponsoring Organization: USDOE Office of Science (SC), Nuclear Physics (NP)
• Grant/Contract Number: AC52-06NA25396; FG02-93ER40764; AC02-05CH11231; K81161; K104260; NK106119; TET_12_CN-1-2012-0016
• OSTI ID: 1329557
• Alternate ID(s): OSTI ID: 1181139
• Report Number(s): LA-UR-15-20675
• Journal Information: Physical Review. D, Particles, Fields, Gravitation and Cosmology, Vol. 90, Issue 5; Conference: 7. International Conference on the Physics and Astrophysics of the Quark-Gluon Plasma, Kolkata (India), 1-6 Feb 2015; ISSN 1550-7998
• Publisher: American Physical Society (APS)
• Country of Publication: United States
• Language: English

Related Subjects

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Mathematics