The experimental results of the proton halo nuclei
27P, as well as probably
29S, and the neutron halo in excited states of the nuclei
12B and
13C are presented. The probability of the valence nucleon (s) being out of the binding potential have been extracted systematically from the relevant experimental data, and a new condition for nuclear halo occurrence is proposed. Based on our systematical study, we put forward our scaling laws of nuclear halo in terms of the analytical expressions of the expectation value for the operator r
2 in a finite square-well potential. In order to investigate the breakup effects of the weakly bound projectiles on fusion reactions and barrier distributions, the complete fusion cross sections of
6Li +
208Pb and the elastic and quasi-elastic excitation functions of
6, 7Li,
9Be +
208Pb were measured and compared with the predictions of the coupled-channels model. The dynamical effects on fusion of neutron-rich nuclei at the energies around the Coulomb barrier are discussed in terms of the comparison of the measured fusion data of
48Ca +
90, 96Zr with the calculations of the improved quantum molecular dynamics model and coupled-channels theory.
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