The neutron-halo nuclei, ^11Li, ^14Be, and ^17B, are studied in the three-body model. The Yukawainteraction is used to describe the interaction of the two-body subsystem. For given parameters ot the twobody interaction, the properties of these neutron-halo nuclei are calculated with the Faddeev equations and the results are compared with those in the variational method. It is shown that the method of the Faddeev equations is more accurate. Then the dependencies of the two- and three-body energies on the parameters are studied. We find numerically that two- and three-body correlations differ greatly from each other with the variation of the intrinsic force range.
The microscopic optical potential of nucleus-nucleus interaction is presented via a folding method with the isospin dependent complex nucleon-nuclear potential,which is first calculated in the framework of the Dirac-Bruecker-Hartree-Fock approach. The elastic scattering data of ^6He at 229.8 MeV on 12C target are analyzed within the standard optical model. To take account of the breakup effect of 6He in the reaction an enhancing factor 3 on the imaginary potential is introduced. The calculated ^6He＋^12C elastic scattering differential cross section is in good agreement with the experimental data. Comparisons with results in the double-folded model based on the M3Y nucleon-nucleon effective interaction and the few the body Glaubermodel calculations are discussed. Our parameter free model should be of value in the description of nucleusnucleus scattering,especially unstable nucleus-nucleus systems.
The atomic population oscillations between two Bose-Einstein condensates with time-dependent nonlinear interaction in a double-well potential are studied. We first analyse the stabilities of the system＇s steady-state solutions. And then in the perturbative regime, the Melnikov chaotic oscillation of atomic population imbalance is investigated and the Melnikov chaotic criterion is obtained. When the system is out of the perturbative regime, numerical calculations reveal that regulating the nonlinear parameter can lead the system to step into chaos via period doubling bifurcations. It is also numerically found that adjusting the nonlinear parameter and asymmetric trap potential can result in the running-phase macroscopic quantum self-trapping （MQST）. In the presence of a weak asymmetric trap potential, there exists the parametric resonance in the system.
