Basically:

• Internal Structure Form Factors
  These form factors describe the distribution of charge and current within hadrons. They provide information about the internal structure and are essential for understanding elastic and inelastic scattering processes.
  They depend on the momentum transfer $Q^2$ (space-like) or s (time-like).

• Blatt–Weisskopf Form Factors (Barrier Factors)
  also known as barrier factors, are used in partial wave analyses of resonance decays. They account for the angular momentum barrier effects in the decay of resonances and the production of particles.
  These form factors depend on the orbital angular momentum 𝐿 of the interacting particles and the radial distance (or momentum) involved in the interaction.
  They are designed to regularize the centrifugal barrier effects and are typically expressed using spherical Hankel functions or other related functions.