Effect of the magnetic field on the collision frequencies for fusion reactions at low energies

The results of a theoretical study of the effect of a magnetic field, B, on the collision frequencies, Ff, for fusion reactions at comparatively low energies are presented. In a usual magnetic field strength, both the cross-section for fusion reactions and the cross-section for the Coulomb scattering between the ion-ion collisions are unaffected by B. However, due to both the gyration of the particle and the Coulomb scatterings occurring during a free path for fusion reactions, the relative velocity between colliding particles making the fusion reaction is affected by B. If omega is a gyrofrequency and tc the deflection time for a 90 degrees deflection of multiple Coulomb scattering when omega tc>2 pi , it was determined that the velocity component contribution to the collision for fusion reactions is only the velocity component along the field axis and that Ff decreases with increasing B. However, when omega tc<or=2 pi , Ff is unaffected by B because a number of collisions for the 90 degrees deflection occur during the path of a Larmor orbit.