The beam ions interaction in the presence of two strong pulsed laser fields

In the paper we analyze the effective interaction force of hydrogen ions of beam in the field of the two strong pulsed laser waves. The obtained analytical equations, which describe the given problem, are solved numerically in the center-of-mass coordinates. The effective force between the ions is studied for the different parameters both waves, when the waves are propagating in the same direction and towards each other. It was found the essential influence of the two laser waves at the ions interaction force which can fundamentally differs from the Coulomb law. It is shown that the effective interaction force of ions may be the attraction force.