Research in many-particle dynamics in response and reaction of unstable nuclei

(1)发展了具有吸收边界条件的连续体线性响应的实时和实时时空相关密度泛函理论(TDDFT)，并应用于稳定核和不稳定核的光吸收截面计算。提出了一种求解RPA问题的新方法--有限幅值法。利用Skyrme功能，一直到镍同位素的原子核。(2)TDDFT中的大振幅(非线性)动力学首次将绝热自洽集体坐标方法应用于形状共存现象的实际核问题。计算了激发光谱和跃迁几率。(3)扩展Skyrme泛函的低激发谱通过随机生成的Slate行列式的叠加扩展了Skyrme泛函。用这种方法可以很好地再现稳定核的激发光谱。它在不稳定核中的应用正在进行中。(4)少体模型中的实时响应和反应对于单中子晕核，我们计算了聚变截面。结果表明，晕中子的存在使聚变截面减小。这一结论与大多数其他计算相反。最近的实验似乎支持我们的结果。对于双中子晕核(6He和11Li)，我们计算了电致发光强度分布。11Li的库仑裂解实验在我们的计算中是不能重现的。

(1) Linear response calculations in the continuum in real time and real spaceTime-dependent density-functional theory (TDDFT) with the absorbing boundary condition has been developed and applied to photoabsorption cross section in stable and unstable nuclei. The finite amplitude method (FAM) was also proposed for a new method of RPA solution. Using the Skyrme functional, nuclei up to Nickel isotopes have been. calculated.(2) Large-amplitude (non-linear) dynamics in TDDFTAdiabatic self-consistent collective coordinate method has been applied to realistic nuclear problems of shape-coexistence phenomena, for the first time. Excitation spectra and transition probabilities were calculated.(3) Low-lying excitation spectra with extended Skyrme functionalThe Skyrme functional has been extended by the superposition of randomly generated Slater determinants. Excitation spectra in stable nuclei were well reproduced with this method. Its application to unstable nuclei are in progress.(4) Real-time response and reaction in few-body modelsFor one-neutron-halo nuclei, we have calculated fusion cross section. It turned out that the fusion cross section is reduced by the presence of a halo neutron. This conclusion is opposite to most of other calculations. Recent experiment seems to support our results. For two-neutron-halo nuclei (6He and 11Li), we have calculated El strength distribution. Coulomb breakup experiments for 11Li cannot be reproduced in our calculation.