Non-Abelian Bremsstrahlung and Azimuthal Asymmetries in High Energy p+A Reactions
Abstract
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 vn 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 vn without invoking kT factorization. A test of CSA mechanism is the predicted nearly linear η rapidity dependence of the vn(kTη). 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 vn(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 vn in p(D) + A and non-central A + A at same dN=dη multiplicity as observed at RHIC and LHC.
- Authors:
-
- MTA Wigner Research Centre for Physics, RMI, Budapest (Hungary); Columbia Univ., New York, NY (United States). Dept. of Physics
- Los Alamos National Lab. (LANL), Los Alamos, NM (United States). Theoretical Division
- MTA Wigner Research Centre for Physics, RMI, Budapest (Hungary)
- Publication Date:
- Research Org.:
- Los Alamos National Laboratory (LANL), Los Alamos, NM (United States)
- Sponsoring Org.:
- USDOE Office of Science (SC), Nuclear Physics (NP)
- OSTI Identifier:
- 1329557
- Alternate Identifier(s):
- OSTI ID: 1181139
- Report Number(s):
- LA-UR-15-20675
Journal ID: ISSN 1550-7998
- Grant/Contract Number:
- AC52-06NA25396; FG02-93ER40764; AC02-05CH11231; K81161; K104260; NK106119; TET_12_CN-1-2012-0016
- Resource Type:
- Accepted Manuscript
- Journal Name:
- Physical Review. D, Particles, Fields, Gravitation and Cosmology
- Additional Journal Information:
- Journal Volume: 90; Journal Issue: 5; Conference: 7. International Conference on the Physics and Astrophysics of the Quark-Gluon Plasma, Kolkata (India), 1-6 Feb 2015; Journal ID: ISSN 1550-7998
- Publisher:
- American Physical Society (APS)
- Country of Publication:
- United States
- Language:
- English
- Subject:
- 72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS; Mathematics
Citation Formats
Gyulassy, Miklos, Vitev, Ivan Mateev, Levai, Peter, and Biro, Tamas S. Non-Abelian Bremsstrahlung and Azimuthal Asymmetries in High Energy p+A Reactions. United States: N. p., 2014.
Web. doi:10.1103/PhysRevD.90.054025.
Gyulassy, Miklos, Vitev, Ivan Mateev, Levai, Peter, & Biro, Tamas S. Non-Abelian Bremsstrahlung and Azimuthal Asymmetries in High Energy p+A Reactions. United States. https://doi.org/10.1103/PhysRevD.90.054025
Gyulassy, Miklos, Vitev, Ivan Mateev, Levai, Peter, and Biro, Tamas S. Thu .
"Non-Abelian Bremsstrahlung and Azimuthal Asymmetries in High Energy p+A Reactions". United States. https://doi.org/10.1103/PhysRevD.90.054025. https://www.osti.gov/servlets/purl/1329557.
@article{osti_1329557,
title = {Non-Abelian Bremsstrahlung and Azimuthal Asymmetries in High Energy p+A Reactions},
author = {Gyulassy, Miklos and Vitev, Ivan Mateev and Levai, Peter and Biro, Tamas S.},
abstractNote = {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 vn 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 vn without invoking kT factorization. A test of CSA mechanism is the predicted nearly linear η rapidity dependence of the vn(kTη). 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 vn(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 vn in p(D) + A and non-central A + A at same dN=dη multiplicity as observed at RHIC and LHC.},
doi = {10.1103/PhysRevD.90.054025},
journal = {Physical Review. D, Particles, Fields, Gravitation and Cosmology},
number = 5,
volume = 90,
place = {United States},
year = {Thu Sep 25 00:00:00 EDT 2014},
month = {Thu Sep 25 00:00:00 EDT 2014}
}
Web of Science
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