Central elastic scattering

Abstract

We comment on phase selection of the scattering amplitude, emphasizing that the elastic overlap function should have a central impact parameter profile at high energies and highlighting the role of the reflective scattering mode at the LHC energies. Emerging problems with the use of peripheral impact parameter dependence of the elastic overlap function are explicitly indicated. Their solution is an elimination of the phases connected to peripheral form of the elastic overlap function. Contrary, we adhere to a relative peripheral form of the {\it inelastic} overlap function with an additional new feature of a maximum at nonzero value of the impact parameter at the highest energies. Phenomenologically, the dynamics of hadron scattering is motivated by a hadron structure with a hard central core presence.

13 pages, 2 figures, revised version

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Cited by in corpus (5)

• Resonant mode of elastic scattering of protons at ultra-high energies
• Reflective ability and its energy dependence
• Rational form of amplitude and its asymptotic factorization
• Energy evolution of the overlap functions: increasing ratio of ${\sigma }_{el}(s)/{\sigma }_{tot}(s)$ and black ring emergence
• Direct-channel option of the forward slope increase