Surface pion condensation of finite nucleus in the relativistic mean field theory

相对论平均场理论中有限核的表面π介子凝聚

• 批准号: 14340076
• 负责人: TOKI Hiroshi
• 金额: $ 7.74万
• 依托单位: Osaka University
• 依托单位国家: 日本
• 项目类别: Grant-in-Aid for Scientific Research (B)
• 财政年份: 2002
• 资助国家: 日本
• 起止时间: 2002 至 2004
• 项目状态: 已结题
• 来源: https://kaken.nii.ac.jp/en/grant/KAKENHI-PROJECT-14340076/
• 关键词: surface pion condensation; parity and charge projection; tensor force; spin-orbit force; Dirac sea effect; relativistic mean field model; pion; chiral symmetry; 相対論的平均場近似; パイ中間子表面凝縮; パリティー射影; 荷電射影; マジック数; カイラルモデル; カイラル対称性の回復; パリティーの射影; 圧縮率

We have made theoretical research on the role of pion for the structure of nucleus in the relativistic and non-relativistic framework. In the relativistic approach, we have also studied the role of the Dirac Sea on the nuclear structure. We list the outcome of the present research :1.We showed the occurrence of pion condensation in the relativistic mean field framework numerically. As a result, we see the appearance of the spin-orbit effect due to the pion. In addition, the pion condensates around the nuclear surface.2.We developed the parity and charge projection by preparing the intrinsic state with the total spin conserved. We then took variation by using the parity and charge projected wave function for He4. We showed the importance of the projection for the nuclear ground state. We found the importance of the pion (tensor interaction) for the structure of He4.3.We calculated the phase shifts of the neutron He4 scattering in order to show the importance of the tensor force quantitatively. We showed the mixture of the p-state in the structure of He4 is essential for the quantitative reproduction of the phase shifts of s,p and d wave phase shifts. This is a decisive result to demonstrate the role of the tensor force for the creation of the spin-orbit splitting.4.We formulated and calculated the parity and charge projection method in the framework of the relativistic mean field model. In order to extract the full strength of the pionic correlations, we showed the importance of the projection.We were able to show that the pion is playing the important role for the nuclear structure. On top, we are convinced that the results of our present study indicate the unification of the hadron physics and nuclear physics through the important role of the chiral symmetry.

我们在相对论和非相对论框架下对π介子对原子核结构的作用进行了理论研究。在相对论方法中，我们还研究了狄拉克海对核结构的作用。本文的主要研究成果如下：1.在相对论平均场框架下，数值模拟了π介子凝聚的发生。结果，我们看到了由于π介子的自旋轨道效应的出现。此外，π介子在核表面附近凝聚。2.我们通过制备总自旋守恒的本征态，发展了宇称和电荷投影。然后，我们通过使用宇称和电荷投影波函数的He 4的变化。我们展示了核基态投影的重要性。我们发现了张量相互作用对He ~（4.3）结构的重要性。为了定量地说明张量相互作用的重要性，我们计算了中子He ~（4）散射的相移。我们证明了He_4结构中p态的混合对于s、p和d波相移的定量再现是必不可少的。这是一个决定性的结果，证明了张量力在自旋轨道分裂中的作用。4.在相对论平均场模型的框架下，我们建立并计算了宇称和电荷投影方法。为了提取π介子关联的全部强度，我们展示了投影的重要性，我们能够表明π介子对核结构起着重要作用。此外，我们相信，我们目前的研究结果表明，通过手征对称性的重要作用，强子物理和核物理的统一。

项目成果

Separable kernel of nucleon-nucleon interaction in the Bethe-Salpeter approach for J = 0, 1☆

J = 0, 1 时 Bethe-Salpeter 方法中核子-核子相互作用的可分离核☆

• DOI: 10.1016/s0375-9474(03)01085-6
• 发表时间: 2002
• 期刊: Nuclear Physics
• 作者: S. Bondarenko;V. Burov;N. Hamamoto;A. Hosaka;Y. Manabe;H. Toki
• 通讯作者: H. Toki

Charge- and Parity-projected Hartree-Fock study with the tensor force of light nuclei

利用轻核张量力进行电荷和宇称投影 Hartree-Fock 研究

• 发表时间: 2004
• 期刊: Nucl.Phys. A738
• 作者: S.Sugimoto;K.Ikeda;H.Toki
• 通讯作者: H.Toki

Chiral Sigma Model with Pion Mean Field in Finite Nuclei

有限核中具有 Pion 平均场的手性 Sigma 模型

• 发表时间: 2004
• 期刊: Prog.Theo.Phys. 111
• 作者: Y.Ogawa;H.Toki;S.Tamenaga;H.Shen;A.Hosaka;S.Sugimoto;K.Ikeda
• 通讯作者: K.Ikeda

A systematic study of neutron magic nuclei with N=8, 20, 28, 50, 82 and 126 in the relativistic mean-field theory

相对论平均场理论中N=8、20、28、50、82、126中子魔核的系统研究

• 发表时间: 2004
• 期刊: Jour.Phys.G-NUCLEAR Part.Phys. 30
• 作者: L.S.Geng;H.Toki;J.Meng
• 通讯作者: J.Meng

Cross section of He-3(He-3,2p)He-4 measured near the Gamow energy

在伽莫夫能量附近测量的 He-3(He-3,2p)He-4 的横截面

• 发表时间: 2003
• 期刊: Nucl.Phys. A718
• 作者: T.Itahashi;M.Komori;N.Kudomi;K.Kume;Y.Nagai;M.Ohsumi;K.Takahisa;H.Toki;H.Ejiri;H.Ueda;S.Yoshida
• 通讯作者: S.Yoshida