Formation Mechanism and Structure of Three-body Resonances in Nuclear System

复标度法使我们能够在与束缚态相同的标准下对核有限多体系统的共振态进行结构分析。本研究项目的第一个成功之处是对氦原子基态共振态的分析<10>。采用与成功地用于描述^ Li晕结构的^9 Li-n折叠势一致的折叠型^8 He-n势，求解了^8 He +n+n三体系统的能量和宽度<11>.第二个成功的结果是^ N和^ Li的s轨道共振态的结构分析<10><10>。中子s轨道共振被认为是难以观察的，因为它表现为虚共振或宽共振。因此，在存在库仑势垒的镜核^ N中，共振态是同位旋多重态<10>。应该给出s轨道状态的重要信息。我们的分析预测共振能量的宽度很窄。 ...更多信息 最近的重要结果有两个：（1）明确了具有Hero结构的镜像核中S态间的反常能移机制。（2）给出了^ Li轨道态P_&lt;1/2&gt;和S_&lt;1/2&gt;能级接近的定量原因<10>，这是由于j^p= 0^+对关联的Pauli阻塞对^9 Li-n相互作用的动力学效应。对于（1），由于库仑势的作用，镜像核中s轨道同位旋多重态之间的反常能量移动被称为Eherman效应。本文分析了中子晕结构情况下镜像核s轨道态的能量移动。结果表明，动能减少和库仑能量减少两种机制的结合合理地解释了大的能量转移。至于（2）.理论分析给出了新的解释，即在未形变的Li核中，P_&lt;1/2&gt;-S_&lt;1/2&gt;态的关闭是由于（p_&lt;1/2&gt;）^2J=0的最重要的配对态的Pauli阻塞.少

The comlex-scaling method enable us the structural analyses for the resonance states of nuclear finite many body systems just in same standard as for the bound states. First success under the present research project is the analysis of the ground resonance state of ^<10>He. The energy and width of the three body system of ^8He+n+n are solved by adopting the folding-type ^8He-n potential being consistent to the ^9Li-n folding potential which is employed succsesfully in description of the halo structure of ^<11>Li. Second successful result is the structural analysis of the s-orbital resonance states of ^<10>N and ^<10>Li. The neutron s-orbital resonance is thought to be difficult to observe because it appears as virtual resonance or broad resonance. Therefore, the resonance state being isospin-multiplet in the mirror nucleus ^<10>N.where there is Coulomb barrier. should give an important information of the s-orbital state. Our analysis predict the resnance energy with its narrow width.Th … More e recent most important results are following two items : (1) we make clear the mechanism of the anomalous energy shift between s-states in mirror nuclei with a hero structure. and (2) we give a quantitative reasoning of the closing of the energy levels between the P_<1/2> and S_<1/2> in ^<10>Li orbital states which is due to the dynamical effect on the ^9Li-n interaction induced by Pauli blocking of the j^p= 0^+ pairing correlation. As for (1), anormalous energy shift between s-orbital isospin-multiplet states in mirror nuclei has been known as the Thomas-Eherman effect due to the Coulomb potential. We have analize the energy shifts for the s-orbital states in mirror nuclei for the cases with neutron halo structure. As the result, a large energy shift is reasonably explained by the conbination of two mechanisum of the kinetic energy reduction and the Coulomb energy reduction. As for (2). theoretical analisis gives the new reas oning that in non-deformed nucleus of Li the closing of the P_<1/2>-S_<1/2> states is due to the Pauli-blocking of the most important pairing states with (p_<1/2>) ^2J=0. Less