Two-component Pomeron and hadron total cross sections and real parts

Abstract

The predictions from a five-parameter formula obtained from a two-component Pomeron model and fit to hadron-nucleon total cross sections from 2 to 200 GeV/c are in remarkable agreement with new CERN ISR data on total proton-proton cross sections and real parts up to an equivalent ${P}_{\mathrm{lab}}$ of 2000 GeV/c and with total-cross-section data from cosmic rays up to 40000 GeV/c. This oversimplified formula with a Regge term varying as ${s}^{\ensuremath{-}\frac{1}{2}}$ two Pomeron-like terms with slightly increasing and slightly decreasing power behavior, and dependence upon quantum numbers given by simple quark-counting rules is adequate to fit all available data and can be useful for analysis of future data. Predictions for the ratios of real to imaginary parts of ${\ensuremath{\pi}}^{\ifmmode\pm\else\textpm\fi{}}p$, ${K}^{\ifmmode\pm\else\textpm\fi{}}p$, and ${p}^{\ifmmode\pm\else\textpm\fi{}}p$ forward amplitudes are given.