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

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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