K\bar{K}-Continuum and Isoscalar Nucleon Form Factors

TL;DR

This paper investigates the isoscalar nucleon form factors by incorporating Kar{K}-continuum contributions through dispersion relations, providing new insights into strangeness moments and \\phiNN\\ coupling constants.

Contribution

It introduces a novel analysis of the Kar{K}-continuum effects on nucleon form factors using recent KN scattering data, improving understanding of strangeness content.

Findings

The continuum accounts for all Pauli form factor strength in the \\phi\\ region.

Additional strength in the Dirac form factor suggests other contributions.

Derived bounds for leading strangeness moments independent of asymptotic assumptions.

Abstract

We analyse the isoscalar vector current form factors of the nucleon using dispersion relations. In addition to the usual vector meson poles, we account for the K\bar{K}-continuum contribution by drawing upon a recent analytic continuation of KN scattering amplitudes. For the Pauli form factor all strength in the \phi region is already given by the continuum contribution, whereas for the Dirac form factor additional strength in the \phi region is required. The pertinent implications for the leading strangeness moments are demonstrated as well. We derive a reasonable range for the leading moments which is free of assumptions about the asymptotic behavior of the form factors. We also determine the \phiNN coupling constants from the form factor fits and directly from the K\bar{K} -> N\bar{N} partial waves and compare the resulting values.