Differential dispersion relations with an arbitrary number of subtractions: a recursive approach

Abstract

Making use of a recursive approach, derivative dispersion relations are generalized for an arbitrary number of subtractions. The results for both cross even and odd amplitudes are theoretically consistent at sufficiently high energies and in the region of small momentum transfer.

4 pages, aps-revtex, one statement corrected, final version to be published in Phys. Lett. B

References in corpus (1)

• Multiple diffraction model for proton-proton elastic scattering and total cross section extrapolations to cosmic-ray energies

Cited by in corpus (5)

• Critical analysis of derivative dispersion relations at high energies
• On the rise of proton-proton cross-sections at high energies
• Analytic models and forward scattering from accelerator to cosmic-ray energies
• Differential dispersion relations and elementary amplitudes in a multiple diffraction model
• Derivative Dispersion Relations