Study of Nuclear Resonance States by Means of Complex Scaling Method

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In this project, we have performed the following subjects :A) Study about resonance states of various kinds of nuclear systems by means of the complex scaling method, andB) Development of the complex scaling method in order to apply to various kinds of analyses of resonance phenomena.For these subjects, we have obtained the following results :A-1) In studies of neutron-rich. nuclei,(i) we performed investigations of the neutron halo structure using a core+n+n cluster model, and obtained important results on the evidence of pairing correlations in neutron-rich nuclei,(ii) we discussed the inversion problem of s- and rho-orbits in unstable nuclei, and found the importance on the Pauli-blocking effect in Li-isotopes.(iii) we analyzed energy shifts of weakly-bound and resonance states in mirror nuclei, and found that the barrier effect is very important in resonance states in addition to the Thomas-Ehrman shift in bound states.A-2) Open channel effects on the mass spectrum of charmonium.A-3) Resonance mechanism in the ^<12>C+^<12>C system.B-1) A new calculational method of matrix elements of physical quantities between resonant states.B-2) A new method to see the contributions from resonant states to the transition strength.B-3) A new formalism of the extended completeness relation using the complex scaling method.