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An one dimensional adiabatic model has been proposed for fusion of looselybound and halo light nuclei with various heavy targets. It is shown that fusioncross sections at near and sub-barrier energies can be explained using a simpleWKB tunneling through an adiabatic barrier without invoking breakup couplingexplicitly. The model has been applied successfully to explain fusion crosssections for several systems including recently measured $^{6}Li+^{198}Pt$system (Phy. Rev. Lett. 103, 232702, 2009) where data exists well above andbelow the barrier and $^{8}He+^{197}Au$ system (Phy. Rev. Lett. 103, 232701,2009) where $^{8}He$ is highly neutron rich. Interestingly, the fusion ofstable $^{4}He+^{197}Au$ system can not be explained on the basis of thisadiabatic model as it requires normal tunneling through the sudden barrier. Therequirement of adiabatic potential for the loosely bound and halo nuclei islinked to the fact that for such systems neutron flow leading to neck formationis initiated at a larger distance which modifies the sudden potential.

An One Dimensional Adiabatic Model for Fusion Involving Loosely Bound and Halo Nuclei with Heavy Targets