Quantum Chromodynamics and Low Energy Effective Theory with Skyrmion.

斯格明子的量子色动力学和低能效理论。

• 批准号: 04640290
• 负责人: SAWADA Shoji
• 金额: $ 1.41万
• 依托单位: Nagoya University
• 依托单位国家: 日本
• 项目类别: Grant-in-Aid for General Scientific Research (C)
• 财政年份: 1992
• 资助国家: 日本
• 起止时间: 1992 至 1994
• 项目状态: 已结题
• 来源: https://kaken.nii.ac.jp/en/grant/KAKENHI-PROJECT-04640290/
• 关键词: Nonlinear Sigma Model; Skyrmion; Chiral Soliton; Stability of Soliton; Breaking Mode; Baryon; Quantum Chrondynamics; スキルム模型; 湯川相互作用問題; カイラル・ソリトン; QCD; 非相対論的クォーク模型; 非線形シグマ模型; 低エネルギー有効理論; パイ中間子-核子散乱; 構成クォーク

We have studied skyrmions which are soliton solutions of nonlinear sigma model as the low energy effective theory of the quantum chromodynamics (QCD). We also investigate relations between the chiral soliton model and the nonrelativistic quark model which plays important role to establish QCD and well reproduces the experimental data phenomenologically. Our main results of this research project are as follows :1. Topological properties of quantized chiral soliton on the 3-dimensional sphere are studied by introducing spin-isospin rotations and the breathing motion.2. On the basis of the skyrmion picture whether a consistent description of the pion-nucleon scatterings including higher order corrections has been a long-pending problem. Essential point of the problem is solved by this project.3. By changing the color degree of freedom N_C of QCD we studied the spin-flip baryon-vertex in the chiral soliton model as well as in the nonrelativistic quark model.4. An approach has started that takes into account of the quark degree of freedom which is not considered in the chiral soliton model.

我们已经研究了Skyrmions，这是非线性Sigma模型的孤子解，作为量子染色体动力学（QCD）的低能量有效理论。我们还研究了手性孤子模型与非同性夸克模型之间的关系，该模型在建立QCD并很好地再现了实验数据的现象学上起着重要作用。该研究项目的主要结果如下：1。通过引入旋转式旋转旋转和呼吸运动，研究了量化的手性孤子在3维球体上的拓扑特性。2。根据Skyrmion的图片，对包括高阶校正的锥形核子散射的一致描述是否是一个长期迫在眉睫的问题。该项目解决了问题的要点3。通过更改QCD的颜色自由度N_C的颜色程度，我们研究了手性孤子模型中的Spin-Flip Baryon-Vertex以及非依赖性夸克模型中的自由度。4。已经开始了一种方法，该方法考虑了手性孤子模型中未考虑的夸克自由度。

项目成果

K.Kobayashi et al.: "Stability of Chiral Solitons." Prog.Theor.Phys.Suppl.109. 19-44 (1992)

K.Kobayashi 等人：“手性孤子的稳定性”。

S.Saito et al.: "Non-static Effect on the Two-Soliton Poteintial Examined in the sine-Gordon Laboratory." Prog.Theor.Phys.91. 507-519 (1994)

S.Saito 等人：“在正弦戈登实验室检查的双孤子势的非静态效应。”

K.yang: "Stability of Quantized Chiral Soliton coupled with the 〓 Meson" Progress of Theoretical Physics. 87. 457-467 (1992)

K.yang：“量子手性孤子与介子耦合的稳定性”理论物理进展87。457-467（1992）。

A.Hayashi et al.: "New Formulation of Pion-Nucleon Scattering and Soft Pion Theorems in the Skyrme Model." Phys.Rev.D. 46. 4586-4867 (1992)

A.Hayashi 等人：“Skyrme 模型中π介子-核子散射和软介子定理的新公式。”

Y.Kondo et al.: "Strong Symmetry Breaking Limit of SU(3) Skyrme Model and Bound Kaon Approach to Strangeness." Few Body Systems. 12. 113-121 (1992)

Y.Kondo 等人：“SU(3) Skyrme 模型的强对称性突破极限和 Bound Kaon 奇异性方法。”