  The Coulomb-nuclear interference is studied as a function of the projectile
ground-state binding energy in the 8Li + 12C and 8Li + 208Pb breakup reactions,
by considering an arbitrary range for the 8Li ground-state binding energies
{\epsilon}b, varying from the experimental one 2.03 MeV down to 0.01 MeV.
Regardless the target mass, we first show that the Coulomb breakup cross
section is stronger dependent on {\epsilon}b than the nuclear breakup cross
section, due to the long-range nature of the Coulomb forces and to the
electromagnetic transition matrix elements. For example, in case of 8Li + 208Pb
reaction at Elab = 60MeV, it is found that |{\sigma}_int|\simeq
4\times{\sigma}_nucl$, while ${\sigma}_Coul\simeq 35\times{\sigma_nucl}$. This
shows clearly that small nuclear contribution in a Coulomb-dominated reaction
does not imply insignificant Coulomb-nuclear interference. Such result can be
mainly attributed to peripheral interference phenomenon, represented by a
function of the binding energy, which determines the peripheral range of
nuclear forces, where Coulomb and nuclear forces strongly interfere
destructively.
