TY - JOUR

T1 - On asymptotic solutions of Regge field theory in zero transverse dimensions

AU - Bondarenko, S.

AU - Horwitz, L.

AU - Levitan, J.

AU - Yahalom, A.

PY - 2013/8/1

Y1 - 2013/8/1

N2 - An investigation of dynamical properties of solutions of a toy model of interacting Pomerons with triple vertex in zero transverse dimension is performed. Stable points and corresponding solutions at the limit of large rapidity are studied in the framework of a given model. It is shown that, at large rapidity, the "fan" amplitude is also a leading solution for the full RFT-0 (Regge Field Theory in zero transverse dimensions) Hamiltonian with both vertices of Pomeron splitting and merging included. An analytical form of the symmetrical solution of the equations of motion at high energy is obtained as well. For the solutions we have found, the scattering amplitude at large values of rapidity is calculated. Stability of the solutions is investigated by Lyapunov functions and the presence of closed cycles in solutions is demonstrated by the new method.

AB - An investigation of dynamical properties of solutions of a toy model of interacting Pomerons with triple vertex in zero transverse dimension is performed. Stable points and corresponding solutions at the limit of large rapidity are studied in the framework of a given model. It is shown that, at large rapidity, the "fan" amplitude is also a leading solution for the full RFT-0 (Regge Field Theory in zero transverse dimensions) Hamiltonian with both vertices of Pomeron splitting and merging included. An analytical form of the symmetrical solution of the equations of motion at high energy is obtained as well. For the solutions we have found, the scattering amplitude at large values of rapidity is calculated. Stability of the solutions is investigated by Lyapunov functions and the presence of closed cycles in solutions is demonstrated by the new method.

KW - BK equation

KW - Hadronic Physics and High Energy QCD (Theory)

KW - Nuclei-niclei collision

KW - Proton-proton collision

KW - Regge Field Theory

UR - http://www.scopus.com/inward/record.url?scp=84878424515&partnerID=8YFLogxK

U2 - 10.1016/j.nuclphysa.2013.05.005

DO - 10.1016/j.nuclphysa.2013.05.005

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AN - SCOPUS:84878424515

SN - 0375-9474

VL - 912

SP - 49

EP - 65

JO - Nuclear Physics A

JF - Nuclear Physics A

ER -