New analytic unitarization schemes

Abstract

We consider two well-known classes of unitarization of Born amplitudes of hadron elastic scattering. The standard class, which saturates at the black disk limit includes the standard eikonal representation, while the other class, which goes beyond the black-disk limit to reach the full unitarity circle, includes the U matrix. It is shown that the basic properties of these schemes are independent of the functional form used for the unitarisation, and that U matrix and eikonal schemes can be extended to have similar properties. A common form of unitarisation is proposed interpolating between both classes. The correspondence with different nonlinear equations are also briefly examined.

6 pages, 10 figures, corrected typos, 1 fig. redrow

References in corpus (5)

• Reflective scattering from unitarity saturation
• Beyond the black disk limit
• Diffractive Dissociation and Eikonalization in High Energy pp and p $\bar{p}$ Collisions
• Unitarisation of the hard pomeron and black-disk limit at the LHC
• Novel features of diffraction at the LHC

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