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Article
Singularity of the Elastic Scattering Amplitude of Hadrons at Small Impact Parameters
On the basis of the fact that the amplitude of elastic pp scattering is well described in the high energy region by the contribution of a dipole pomeron and an odderon, the profile function is calculated in th...
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Article
On the problem of singular charge density at the center of pion
We generalize and analyze the expression for the quark density of a pion with allowance for the quantum nature of the impact parameter in a region of small phase space volume. As a result, there is no singular...
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Article
Solution of the unitarity equation in cone variables on the SO(2,1) group in the approximation for small transverse momentum
A known mechanism of description of spatial characteristics of elastic and quasi-elastic processes in terms of irreducible representations of the SO(2,1) group is modified in cone variables. It takes place in ...
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Article
Description of spatial characteristics of elastic processes within the formalism of the Wigner functions
Definition of the Wigner function is given and its application to a description of elastic scattering processes is analyzed. A new element of the well-known formalism is a choice of the phase space in which th...
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Article
Transition from a state with a certain momentum into a state with a certain parameter of spinless particle escape in the external field
A distribution function on the parameter of escape of particle B with the amplitude of process A → B in the external stationary field is investigated in this work. This distribution function is directly relate...
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Article
Spatial description of the particle production region in elastic and quasi-elastic processes on the SO μ (2.1) group
The group-theoretical generalization of the impact parameter for elastic A + B → A + B processes is considered and analyzed in the work. The generalized impact parameter is identified with the vector of the close...
