Nonlinearity of Regge trajectories in the scattering region

Abstract

The nonlinearity of Regge trajectories at real negative values of the argument is discussed as their general QCD-inspired property. The processes of elastic diffractive scattering $p+p\to p+p$ and $\bar{p}+p\to \bar{p}+p$ at collision energies $\sqrt{s}>23GeV$ and transferred momenta squared $0.005Ge{V}^2<-t<3Ge{V}^2$ are considered in the framework of the Regge-eikonal model \cite{arnold}. By comparison of phenomenological estimates with available experimental data on angular distributions it is demonstrated that in this kinematical range the data can be satisfactorily described as if taking into account only three nonlinear Regge trajectories with vacuum quantum numbers (``soft'' pomeron, C-even $f_2/a_2$-reggeon and $C$-odd $\omega /\rho$-reggeon). It is also shown that their nonlinearity is essential and not to be ignored. The correspondence of the Kwiecinski $q\bar{q}$-pole \cite{kwiecinski} to the secondary reggeons and the relevance of the Kirschner-Lipatov ``hard'' pomeron pole \cite{kirschner} to elastic diffraction are discussed.

arXiv comment19 pages, 8 figures

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Cited by in corpus (10)

• Regge analysis of the pi pi scattering amplitude
• Effective transverse radius of nucleon in high-energy elastic diffractive scattering
• The ground state of the Pomeron and its decays to light mesons and photons
• Elastic ${\pi }^{+}p$ and ${\pi }^{+}{\pi }^{+}$ scattering at LHC
• Two-Pomeron eikonal approximation for the high-energy EDS of nucleons
• Total pion-proton cross-section from the new LHCf data on leading neutrons spectra
• High-energy elastic diffractive scattering of nucleons in the framework of the two-Reggeon eikonal approximation (from U-70 to LHC)
• Three Pomerons vs DO and TOTEM Data
• Glueball masses and Regge trajectories for the QCD-inspired potential
• Nonlinearity of vacuum reggeons and exclusive diffractive production of vector mesons at HERA