2D Potts-Model Correlation Lengths: Numerical Evidence for ξ o = ξ d at β t

a π + Ξ − CORRELATIONS AND THE Ξ ∗ (1530) PUZZLE.

Ja n 20 07 A multiplicity result for the problem δdξ = f ′ ( 〈 ξ , ξ 〉

In this paper we consider the nonlinear equation involving differential forms on a compact Riemannian manifold δdξ = f ′(〈ξ, ξ〉)ξ. This equation is a generalization of the semilinear Maxwell equations recently introduced in a paper by Benci and Fortunato. We obtain a multiplicity result both in the positive mass case (i.e. f ′(t) ≥ ε > 0 uniformly) and in the zero mass case (f ′(t) ≥ 0 and f ′(...

Production of the pentaquark exotic baryon Ξ 5 in KN scattering : KN → K Ξ 5 and KN → K ∗ Ξ 5

Abstract We investigate the production of the newly found pentaquark exotic baryon Ξ5 in the KN → KΞ5 and KN → KΞ5 reactions at the tree level. We consider the both positiveand negativeparities of the Ξ5. The reactions are dominated by the sand u-channel processes, and it is observed that the resulting cross sections are very much dependent on the parity of Ξ5 and on the type of form factor. We...

Ξ -ζ Relation

In this note we prove a relation between the Riemann Zeta function, ζ and the ξ function (Krein spectral shift) associated with the Harmonic Oscillator in one dimension. This gives a new integral representation of the zeta function and also a reformulation of the Riemann hypothesis as a question in L1(R). ∗Part of talk presented at the Conference on Harmonic Analysis, 13-15 March 1997, Ramanuja...

Evidence for ξ– and t-dependent damping of the Pomeron flux in the proton

We show that a triple-Regge parametrization of inclusive single diffraction agrees with the data in the following two domains: (a) ξ > 0.03 at all t, (b) |t| > 1 GeV2 at all ξ. Since the triple-Regge parametrization fails when applied to the full ξ–t range of the total single-diffractive cross section, we conclude that damping occurs only at low–ξ and low–|t|. We give a (“toy”) parametrization ...