Analytization of elastic scattering amplitude

Abstract

Scenario for restoration of the real part of the elastic scattering amplitude has been proposed for the unitarity saturation case. Dependence of the real part of the elastic scattering amplitude on the transferred momentum $-t$ at the asymptotical energies has been restored from the corresponding imaginary part on the basis of derivative analyticity relations (analytization procedure).

9 pages, 1 figure, revised and extended discussion

References in corpus (6)

• Reflective scattering from unitarity saturation
• Hot spots and the hollowness of proton-proton interactions at high energies
• Impact analysis of TOTEM data at the LHC: black disk limit exceeded
• Hadron collisions at ultrahigh energies: black disk or resonant disk modes?
• The new scattering mode emerging at the LHC?
• The interaction region of high energy protons

Cited by in corpus (6)

• Experimental signatures of hadron asymptotics at the LHC
• Implications of the $\rho (s)$ measurements by TOTEM at the LHC
• Central elastic scattering
• Comment on energy dependence of the slope parameter
• Does diffraction cone shrinkage with energy originate from unitarity?
• Energy evolution of the overlap functions: increasing ratio of ${\sigma }_{el}(s)/{\sigma }_{tot}(s)$ and black ring emergence