Quasipotential Theory of High-Energy Hadron Scattering

Abstract

A quasipotential approach to the high-energy scattering of hadrons is developed. The consideration is based on the quasipotential equation for the scattering amplitude in quantum field theory, and on the physical assumption of the nonsingular character of hadron interactions at high energies. The results of the theoretical calculation are compared with experimental data on elastic nucleon-nucleon and isobar production processes.

Applying the Modified Perturbation Theory to High Energy Scattering in the Quasi-Potential Approach

“…In general, the quasi-potential is a complex function of the energy and relativistic momentum of two particles. The standard equation becomes simpler if the quasi-potential is "smooth" or otherwise the quasi-potential is a function of the difference between the relativistic momentum two particles and the total energy (called the local quasi-potential) [4]. Existence of the local quasi-potential has been well proven in the case of weak interactions and this is also the way we build it.…”

“…(3) In high energy and the fixed momentum transfer, the total scattering cross-section will decrease according to the exponential rule when square of the momentum is increased to match the emprical data [4].…”

“…For this reason, the problem of re-normalization is not trivial. So far a complete understanding of this characteristic has not yet been achieved [4,5].…”

“…This method can help us to explore more specific applications that can be solved in more detail [7,8,9] and to develop new approximate methods in the quantum field theory [4,5,[10][11][12].…”