On the Analytic Solution of the Balitsky-Kovchegov Evolution Equation

The study presents an analytic solution of the Balitsky-Kovchegov~(BK) equation in a particular kinematics. The solution is written in the momentum space and based on the eigenfunctions of the truncated Balitsky-Fadin-Kuraev-Lipatov~(BFKL) equation in the gauge adjoint representation, which was used for calculation of the Regge~(Mandelstam) cut contribution to the planar helicity amplitudes. We introduce an eigenfunction of the singlet BFKL equation constructed of the adjoint eigenfunction multiplied by a factor, which restores the dual conformal symmetry present in the adjoint and broken in the singlet BFKL equations. The proposed analytic BK solution correctly reproduces the initial condition and the high energy asymptotics of the scattering amplitude.Comment: 8 page

Sensitivity of elastic electron scattering off the 3He to the nucleon form factors

Elastic electron-3He scattering is studied in the relativistic impulse approximation. The amplitudes for the three-nucleon system - 3He - are obtained by solving the relativistic generalization of the Faddeev equation. The charge and magnetic form factor are calculated and compared with the experimental data for the momentum transfer squared up to 100 fm-2. The influence of the various nucleon form factors is investigated

Trinucleon form factors with relativistic multirankseparable kernels

This paper studies elastic electron-trinucleon scattering in the relativistic impulse approximation. The amplitudes for a trinucleon have been obtainedby solving the relativistic generalization of the Faddeev equations with amultirank separable kernel of the nucleon-nucleon interactions. The staticapproximation and additional relativistic corrections for the trinucleon electromagnetic form factors have been calculated for the momentum transfersquared up to 50 fm^-