Nuclear Giant Resonance States and the Related Problems

核巨共振态及相关问题

• 批准号: 13640273
• 负责人: SUZUKI Toshio
• 金额: $ 1.86万
• 依托单位: The University of Fukui
• 依托单位国家: 日本
• 项目类别: Grant-in-Aid for Scientific Research (C)
• 财政年份: 2001
• 资助国家: 日本
• 起止时间: 2001 至 2004
• 项目状态: 已结题
• 来源: https://kaken.nii.ac.jp/grant/KAKENHI-PROJECT-13640273/
• 关键词: Gamow-Teller giant resonance; Double giant resonance; Sum rule; Nuclear relativistic model; Relativistic sum rule; 巨大共鳴状態; ガモフ・テラー状態; 相対論的乱雑位相近似; 相対論的ガモフ・テラー和則; 原子核の巨大共鳴; ランダウ・ミグダルパラメータ; 多重巨大共鳴; 原子核の相対論的模型; 原子核の電子散乱

The purposes of the project are1.Determination of the value of Landau-Migdal parameter, which depends on the nuclear spin, from the giant Gamow-Teller resonance states,2.Understanding of the double giant resonance states with model-independent sum rules, and3.Investigation of the relationship between relativistic and non-relativistic nuclear models.As to the purpose 1, we determined the value of the parameter from recent experiment, and have shown that the result is, in fact, related to the purpose 3.As to the purpose 2, we have derived various model-independent sum rules not only for double giant resonance states which are recently observed experimentally, but also for triple giant resonance states. We have also derived model-independently some identities between their excitation energies and transition strengths.As to the purpose 3, we have showed that the previous relativistic nuclear models have a serious problem. They explain phenomenologically well the structure of giant resonance states, but violate the sum rules. In order for the relativistic models to satisfy the sum rules, we need to renormalize the divergence of the nuclear response functions properly. We propose a method of proper renormalization by taking as an example the Gamow-Teller sum rule. We expect that the present result is a good starting point of the next project for the purpose 3.

本项目的目的是：1.从巨Gamow-Teller共振态确定依赖于核自旋的Landau-Migdal参数的值；2.用与模型无关的求和规则理解双巨共振态；3.研究相对论和非相对论核模型之间的关系.对于目的1，我们从最近的实验中确定了该参数的值，并证明结果实际上与目的3有关.对于目的2，我们导出了各种与模型无关的求和规则，不仅适用于最近实验观察到的双巨共振态.也适用于三重巨共振态。我们还独立地推导了它们的激发能和跃迁强度之间的一些恒等式。对于目的3，我们已经证明了以前的相对论原子核模型存在严重的问题。它们在现象学上很好地解释了巨共振态的结构，但违反了求和规则。为了使相对论模型满足求和规则，我们需要对核反应函数的发散度进行适当的重整化。我们以Gamow-Teller求和规则为例，提出了一种适当的重整化方法。我们期望目前的结果是下一个目标3项目的良好起点。

项目成果

H.Kurasawa: "Electron Scattering in Relativistic Nuclear Models"Proceedings of the International Workshop on Physics with GeV Electron and Gamma-Rays. 25-30 (2001)

H.Kurasawa：“相对论核模型中的电子散射”GeV 电子和伽马射线物理国际研讨会论文集。

The Gamow-Teller States and Sum Rule in Relativistic Models

相对论模型中的伽莫夫泰勒态和求和法则

• 发表时间: 2004
• 期刊: Nuclear Physics A 731
• 作者: T.Maruyama;T.Maruyama;H.Kurasawa
• 通讯作者: H.Kurasawa

H.Sakai: "The Gamow-Teller Giant Resonance and Related Topics"International Nuclear Physics News. 11・1. 23-27 (2001)

H.Sakai：“伽莫夫泰勒巨共振及相关主题”《国际核物理新闻》11・1（2001）。

Role of the Landau-Migdal Parameters with the Pseudovector and the Tenser Coupling in Relativistic Nuclear Models

相对论核模型中具有赝矢量和张量耦合的 Landau-Migdal 参数的作用

• 发表时间: 2005
• 期刊: Progress of Theoretical Physics (in press)
• 作者: T.Maruyama;T.Maruyama
• 通讯作者: T.Maruyama

Delta-Hole Interaction in Nuclei and Gamow-Teller Strength

原子核中的 Delta 空穴相互作用和伽莫夫强度

• 发表时间: 2001
• 期刊: Physics Letters B499
• 作者: T.Maruyama;T.Maruyama;H.Kurasawa;H.Kurasawa;H.Kurasawa;A.Arima
• 通讯作者: A.Arima