Keiji Igi

Predictions of pp,p¯p total cross section and ρ ratio at LHC and cosmic-ray energies

Abstract We propose to use rich informations on the p p , p ¯ p total cross sections σ tot below N ( ∼ 10 GeV ) in order to predict the total cross section and ρ ratio at very high energies. Using the FESR as a constraint for high energy parameters, we search for the simultaneous best fit to the data points of σ tot and ρ ratio up to some energy (e.g., ISR, Tevatron) to determine the high-energy parameters. We then predict σ tot and ρ in the LHC and high-energy cosmic-ray regions. Using the data up to s = 1.8 TeV (Tevatron), we predict σ tot p p and ρ p p at the LHC energy ( s = 14 TeV ) as 106.3 ± 5.1 syst ± 2.4 stat mb and 0.126 ± 0.007 syst ± 0.004 stat , respectively. The predicted values of σ tot in terms of the same parameters are in good agreement with the cosmic-ray experimental data sample up to P lab ∼ 10 8 – 9 GeV by Block, Halzen, and Stanov.

Another look at pi pi scattering in the scalar channel

We set up a general framework to describe

Bounds for Regge slopes and intercepts for ordinary and new hadrons

\pi\pi

On the duality structure of ππ, Kπ phase shifts

scattering below 1 GeV based on chiral low-energy expansion with possible spin-0 and 1 resonances. Partial wave amplitudes are obtained with the

Dispersion Relation for K Meson-Nucleon Scattering and its Application

N/D

Total Hadronic Cross Sections and

method, which satisfy unitarity, analyticity and approximate crossing symmetry. Comparison with the phase shift data in the J=0 channel favors a scalar resonance near the

\pi^\mp \pi^+

\rho

Scattering

mass.

Universal rise of hadronic total cross sections based on forward πp and p¯p(pp) scatterings

Abstract We have derived a constraint 2α i j (0) + α i i (0) + α j j (0) form the einequality for he unitarity relation. This constraint, combined with slope factorization leads to bounds for Regge slopes and intercepts. Bottom cases are also argued.

Classification of baryonium spectrum based on duality and unitarity

Abstract Marked regularities of ππ , K π phase shifts recently observed by several experimental groups are shown to be understood from the viewpoint of a new bootstrap scheme of duality. A speculation is also made about how the dips in ππ , Kπ S-wave phase shifts could be realized in the above scheme.