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Particle production at high energy and large transverse momentum: “The hybrid formalism” revisited
Phys. Rev. D 83, 105004 – Published 4 May, 2011
DOI: https://doi.org/10.1103/PhysRevD.83.105004
Abstract
We revisit the “hybrid formalism” for particle production used recently to study saturation effects in single hadron multiplicities at forward rapidities at RHIC and LHC. We point out that at leading twist there is an extra contribution to the formulae used so far, which corresponds to particle production via inelastic scattering of the projectile partons on the target fields. This contribution is expected to be small due to kinematics at very forward rapidities/very high transverse momenta, but should be significant at high momenta and very high energies. This contribution is expected to be most affected by saturation effects, and is therefore an interesting object of study in the context of possible onset of saturation at high energies.
Article Text
References (21)
- L. Gribov, E. Levin, and M. Ryskin, Phys. Rep. 100, 1 (1983); A. H. Mueller and J. Qiu, Nucl. Phys. B268, 427 (1986).
- I. Balitsky, Nucl. Phys. B463, 99 (1996); Phys. Rev. Lett. 81, 2024 (1998); Phys. Rev. D 60, 014020 (1999); J. Jalilian Marian, A. Kovner, A. Leonidov, and H. Weigert, Nucl. Phys. B504, 415 (1997); Phys. Rev. D 59, 014014 (1998); J. Jalilian Marian, A. Kovner, and H. Weigert, 59, 014015 (1998); A. Kovner and J. G. Milhano, 61, 014012 (1999); A. Kovner, J. G. Milhano, and H. Weigert, 62, 114005 (2000); H. Weigert, Nucl. Phys. A703, 823 (2002); Y. Kovchegov, Phys. Rev. D 60, 034008 (1999); E. Iancu, A. Leonidov, and L. D. McLerran, Phys. Lett. B 510, 133 (2001); Nucl. Phys. A 692, 583 (2001); E. Ferreiro, E. Iancu, A. Leonidov, and L. McLerran, Nucl. Phys. A703, 489 (2002).
- E. Gardi, J. Kuokkanen, K. Rummukainen, and H. Weigert, Nucl. Phys. A784, 282 (2007); Y. Kovchegov and H. Weigert, A784, 188 (2007); I. I. Balitsky, Phys. Rev. D 75, 014001 (2007); I. Balitsky and G. A. Chirilli, 77, 014019 (2008); J. L. Albacete and Y. V. Kovchegov, 75, 125021 (2007).
- J. L. Albacete, N. Armesto, J. G. Milhano, and C. A. Salgado; Phys. Rev. D 80, 034031 (2009).
There is also a large number of works applying the saturation ideas to heavy ion collisions both at RHIC and LHC. The analysis of these processes however is obscured by very complicated final state interactions and ensuing collective effects, and thus at present are not at the stage of reliable quantitative predictions/descriptions.
- I. Arsene et al., Phys. Rev. Lett. 93, 242303 (2004); J. Adams et al., 97, 152302 (2006).
- J. Albacete and C. Marquet, Phys. Lett. B 687, 174 (2010).
- I. Arsene et al. (BRAHMS Collaboration), Phys. Rev. Lett. 93, 242303 (2004); J. Adams et al. (STAR Collaboration), 97, 152302 (2006).
- J. L. Albacete and C. Marquet, Phys. Rev. Lett. 105, 162301 (2010); K. Tuchin, Nucl. Phys. A846, 83 (2010).
- E. Levin and A. H. Rezaeian, Phys. Rev. D 82, 014022 (2010); 82, 054003 (2010); P. Tribedy and R. Venugopalan, arXiv:1101.5922.
- A. Dumitru, K. Dusling, F. Gelis, J. Jalilian-Marian, T. Lappi, and R. Venugopalan, Phys. Lett. B 697, 21 (2011); A. Kovner and M. Lublinsky, Phys. Rev. D 83, 034017 (2011).
- V. Khachatryan et.al. et al. (CMS Collaboration), J. High Energy Phys. 09 (2010) 091.
- A. Dumitru, A. Hayashigaki, and J. Jalilian-Marian, Nucl. Phys. A765, 464 (2006).
- We note that inelastic partonic scattering in the context of forward particle production was discussed in L. Frankfurt and M. Strikman, Phys. Lett. B 645, 412 (2007). However the accent in this reference is on a different aspect of inelastic scattering, namely, on energy loss in the black disk limit, which we neglect in the present eikonal approximation.
- A. Kovner and M. Lublinsky; J. High Energy Phys. 11 (2006) 083.
- Y. V. Kovchegov and K. Tuchin, Phys. Rev. D 65, 074026 (2002).
- R. Baier, A. Kovner, M. Nardi, and U. A. Wiedemann, Phys. Rev. D 72, 094013 (2005).
- E. Levin and K. Tuchin (Tel Aviv U.) Nucl. Phys. A691, 779 (2001); E. Iancu, K. Itakura, and L. McLerran, A708, 327 (2002).
- J. B. Kogut and D. E. Soper, Phys. Rev. D 1, 2901 (1970).
- M. Strikman and W. Vogelsang, Phys. Rev. D 83, 034029 (2011).
- C. Marquet, Nucl. Phys. A796, 41 (2007).