NonAbelian Bremsstrahlung and Azimuthal Asymmetries in High Energy p+A Reactions
Here we apply the GLV reaction operator solution to the VitevGunionBertsch (VGB) boundary conditions to compute the allorder in nuclear opacity nonabelian gluon bremsstrahlung of event byevent 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 noninvariant trapezoidal rapidity distributions in asymmetric B+A nuclear collisions. The scaling of intrinsically azimuthally anisotropic and long range in η nature of the nonAbelian bremsstrahlung leads to v _{n} moments that are similar to results from hydrodynamic models, but due entirely to nonAbelian wave interference phenomena sourced by the fluctuating CSA. Our analytic nonflow solutions are similar to recent numerical saturation model predictions but differ by predicting a simple powerlaw 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 _{T}η). 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 largex 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 noncentral A + A at same dN=dη multiplicity as observed at RHIC and LHC.
 Authors:

^{[1]};
^{[2]};
^{[3]};
^{[3]}
 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:
 Report Number(s):
 LAUR1520675
Journal ID: ISSN 15507998
 Grant/Contract Number:
 AC5206NA25396; FG0293ER40764; AC0205CH11231; K81161; K104260; NK106119; TET_12_CN120120016
 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 QuarkGluon Plasma, Kolkata (India), 16 Feb 2015; Journal ID: ISSN 15507998
 Publisher:
 American Physical Society (APS)
 Research Org:
 Los Alamos National Lab. (LANL), Los Alamos, NM (United States)
 Sponsoring Org:
 USDOE Office of Science (SC), Nuclear Physics (NP) (SC26)
 Country of Publication:
 United States
 Language:
 English
 Subject:
 72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS; Mathematics
 OSTI Identifier:
 1329557
 Alternate Identifier(s):
 OSTI ID: 1181139
Gyulassy, Miklos, Vitev, Ivan Mateev, Levai, Peter, and Biro, Tamas S. NonAbelian Bremsstrahlung and Azimuthal Asymmetries in High Energy p+A Reactions. United States: N. p.,
Web. doi:10.1103/PhysRevD.90.054025.
Gyulassy, Miklos, Vitev, Ivan Mateev, Levai, Peter, & Biro, Tamas S. NonAbelian Bremsstrahlung and Azimuthal Asymmetries in High Energy p+A Reactions. United States. doi:10.1103/PhysRevD.90.054025.
Gyulassy, Miklos, Vitev, Ivan Mateev, Levai, Peter, and Biro, Tamas S. 2014.
"NonAbelian Bremsstrahlung and Azimuthal Asymmetries in High Energy p+A Reactions". United States.
doi:10.1103/PhysRevD.90.054025. https://www.osti.gov/servlets/purl/1329557.
@article{osti_1329557,
title = {NonAbelian 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 VitevGunionBertsch (VGB) boundary conditions to compute the allorder in nuclear opacity nonabelian gluon bremsstrahlung of event byevent 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 noninvariant trapezoidal rapidity distributions in asymmetric B+A nuclear collisions. The scaling of intrinsically azimuthally anisotropic and long range in η nature of the nonAbelian bremsstrahlung leads to vn moments that are similar to results from hydrodynamic models, but due entirely to nonAbelian wave interference phenomena sourced by the fluctuating CSA. Our analytic nonflow solutions are similar to recent numerical saturation model predictions but differ by predicting a simple powerlaw 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 largex 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 noncentral 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 = {2014},
month = {9}
}