Study of Nuclear Resonance States by Means of Complex Scaling Method

复标度法研究核共振态

• 批准号: 08640340
• 负责人: KATO Kiyoshi
• 金额: $ 1.41万
• 依托单位: HOKKAIDO UNIVERSITY
• 依托单位国家: 日本
• 项目类别: Grant-in-Aid for Scientific Research (C)
• 财政年份: 1996
• 资助国家: 日本
• 起止时间: 1996 至 1998
• 项目状态: 已结题
• 来源: https://kaken.nii.ac.jp/grant/KAKENHI-PROJECT-08640340/
• 关键词: Neutron-Rich Nuclei; Complex Scaling Method; Resonances; Extended Completeness Relation; Sum-Rule; Pairing; Pauli Blocking; 原子核; 強度関数; ソフトダイポール共鳴; E1和則値; ソフト・ダイポール励起; クーロン分解反応

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.

在这个项目中，我们完成了以下工作：A)用复标度方法研究各种核系统的共振态，B)发展复标度方法以应用于各种共振现象的分析。对于这些课题，我们取得了以下结果：A-1)丰中子研究。(2)讨论了不稳定核中的S轨道和Rho轨道的反转问题，发现了Li同位素中泡利阻塞效应的重要性；(3)分析了镜像核中弱束缚态和共振态的能量位移；发现除了束缚态的Thomas-Ehrman位移外，势垒效应在共振态中也是非常重要的。A-2)开放沟道效应对碳的质量谱。12&gt；C+^&lt；12&gt；C系统。B-1)计算共振态之间物理量矩阵元的新方法。B-2)计算共振态对跃迁强度贡献的新方法。B-3)利用复标度方法推导扩展完备性关系的新形式。

项目成果

K.Kato, T.Myo, S.Aoyama and K.Ikeda: "Unstable Nuclear Study by Complex Scaing Method" BUTSURI. 52. 111-115 (1998)

K.Kato、T.Myo、S.Aoyama 和 K.Ikeda：“通过复杂扫描方法进行不稳定核研究”BUTSURI。

加藤幾芳: "複素座標スケーリング法による不安定核の研究" 日本物理学会誌. 52. 111-115 (1999)

加藤郁芳：“使用复坐标标度法研究不稳定原子核”日本物理学会杂志 52. 111-115 (1999)。

G. Filippov: "^6He as a Three-Cluster System--Investigation of the Ground State and Continuum 0^+ States--" Progress of Theoretical Physics. 96・3. 575-595 (1996)

G. Filippov：“^6He作为三团簇系统——基态和连续体0^+态的研究——”理论物理进展96・3（1996）。

K. Kato: "Resonance States in the ^<12>C-^<12>C Morse Potential" Physical Review C. 55・4 印刷中. (1997)

K. Kato：“^<12>C-^<12>C 莫尔斯电势中的共振状态”物理评论 C. 55・4 已出版（1997 年）。

加藤 幾芳: "複素座標スケーリング法による不安定核の研究" 日本物理学会誌. 52. 111-115 (1998)

加藤郁芳：“使用复坐标标度法研究不稳定原子核”日本物理学会杂志 52. 111-115 (1998)。