The quadratic pion scalar radius, 〈r〉s , plays an important role for present precise determinations of ππ scattering. The solution of the MuskhelishviliOmnès equations for the non-strange null isospin (I) pion scalar form factor determines that 〈r〉s = 0.61 ± 0.04 fm. However, by using an Omnès representation of this form factor, Ynduráin recently obtains 〈r〉s = 0.75± 0.07 fm. A large discrepanc...

A number of studies showed that infants reorganize their perception of speech sounds according to their native language categories during their first year of life. Still, information is lacking about the contribution of basic auditory mechanisms to this process. This study aimed to evaluate when native language experience starts to noticeably affect the perceptual processing of basic acoustic c...

Definition 1.1. Let E be a field. An automorphism of E is a (ring) isomorphism from E to itself. The set of all automorphisms of E forms a group under function composition, which we denote by AutE. Let E be a finite extension of a field F . Define the Galois group Gal(E/F ) to be the subset of AutE consisting of all automorphisms σ : E → E such that σ(a) = a for all a ∈ F . We write this last c...

The mixing angles between scalar isoscalar resonances and a glueball are determined from their decays into two pseudoscalar mesons. For f0(1370) f0(1500), at most small component is admitted by the data. decay modes of f0(1710), f0(1770), f0(2020), f0(2100) require significant fractions. Above this mass, errors in frequencies become too large to extract component. summation all observed fractio...