The essential aspect of contemporary physics is to understand properties of nucleonic matter that constitutes the world around us. Over the years research in nuclear physics has provided strong guidance in understanding the basic principles of nuclear interactions. But, the scenario of nuclear physics changed drastically as the new generation of accelerators started providing more and more rare isotopes, which are away from the line of stability. These weakly bound nuclei are found to exhibit new forms of nuclear matter and unprecedented exotic behaviour. The low breakup thresholds of these rare nuclei are posing new challenges to both theory and experiments. Fortunately, nature has provided a few loosely bound stable nuclei that have been studied thoroughly for decades. Attempts are being made to find a consistent picture for the unstable nuclei starting from their stable counterparts. Some significant differences in the structure and reaction mechanisms are found.In last few decades, with the advent of more and more powerful accelerators, the world has witnessed an explosion of information on nuclei and it has created considerable influence on our day to day life. Nevertheless, complete understanding of the fundamental nucleonnucleon interaction has not been achieved yet. Exactly when it was felt that nuclear physics has possibly reached its saturation, a drastic change in scenario occurred in 1985 with the discovery of a loosely bound isotope of lithium, called ½½ Li. Lithium has two stable isotopes, Li and Li. With the addition of extra neutrons, the neutron-rich isotopes of Li go away from the line of stability and, finally reach the neutron drip line where the oneneutron separation energy´Ë Ò µ becomes zero. While most of the proton drip line´Ë Ô ¼ µ nuclei have been found, the neutron drip line has been reached for low nuclei only. The nuclei near the drip lines are found to delineate many properties that can not be explained by the conventional nuclear physics.The first surprising deviation from the conventional nuclear physics was noticed through measurement of the interaction cross section, which led to the discovery of the anomalously large radius of the ½½ Li nucleus and its exotic shape, called 'halo' [1]. Since then, several such nuclei have been discovered with exotic shape, size and internal structure. While the ½½ Li nucleus has a Li-core plus two neutron-halo, the ½½ Be has only one neutron halo. Recently, in ½¾ Be, a very elongated 'dimmer' configuration has been found at higher excitation energies. Another important discovery is the neutron-skin formation in the He nucleus although it has only a few nucleons [2]. Such a skin was not found even in the 519