Study of chiral symmetry and internal structure of the nucleon

核子手性对称性和内部结构的研究

基本信息

批准号：
08640355
负责人：
YAZAKI Koichi
金额：
$ 1.34万
依托单位：
The University of Tokyo
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

项目摘要

The purpose of this research is to extend our previous research on the internal structure of the nucleon based on the NJL model, examine the dynamical aspects of the model by calculating the structure function and study the change of the nucleon internal structure in nuclear medium. Since the light-cone formulation is the most convenient for calculating structure functions, we have developed the light-cone hamiltonian formalism of the NJL model. A characteristic feature of fermions on the light-cone is that the number of their dynamical components becomes half of the usual formulation and the elimination of the non-dynamical components in the presence of interactions is not trivial. We have introduced auxiliary fields corresponding to scalar and pseudo-scalar mesons to treat this problem. The constraint equations for the auxiliary fields are then solved with 1/N expansion, giving the gap equation in the lowest order and the interaction term in the hamiltonian in the next order. The pio … More n in this scheme is described by the Tamm-Dancoff equation for quark-antiquark system and the eigenfunction is directly related to the pion structure function. We have considered two regularization schemes to treat divergent integrals in the gap equation and the pion eigenvalue equation. One is an extended version of the scheme proposed by Lepage and Brodsky and is nearly equivalent to the regularization in the conventional formulation. The other is the one proposed by Lenz, Ohta, Thies and Yazaki and regularizes only the transverse directions while renormalizing the longitudinal direction in the way used for the Gross-Neveu model in the two dimentional world. The latter has been found to give much better results for the pion structure function. It is expected that this formalism will be a step towards a more general framework of describing the chiral symmetry on the light-cone. The nucleon structure function in the relativistic Faddeev approach has been also calculated with the light-cone variables though we have not yet developed the light-cone hamiltonian formalism in this case.In addition to the above, a relativistic harmonic oscillator quark model has been used to study the internal dynamics of a nucleon propagating in the nuclear medium in connection with the problem of color transparency. We have also investigated the interaction between H-dibaryons to examine the possibility of a multi-strangeness baryonic matter. Less

这项研究的目的是扩展我们基于NJL模型的核内部结构的先前研究，通过计算结构功能并研究核培养基中核内部结构的变化来检查模型的动态方面。由于轻锥公式是计算结构函数的最方便的公式，因此我们开发了NJL模型的轻锥哈密顿形式。 fermions在轻频率上的一个特征是它们的动态成分的数量变成了通常的公式的一半，并且在存在相互作用的情况下消除了非动力学成分并不是微不足道的。我们引入了对应于标量和伪量表中的辅助场来治疗此问题。然后以1/n的扩展求解辅助场的约束方程，以最低顺序给出差距方程，并在下一个订单中以哈密顿量中的相互作用项为单位。 Quark-Antiquark系统的TAMM-Dancoff方程描述了PIO…更多的N，并且本征函数与PION结构函数直接相关。我们考虑了两个调节方案，用于处理间隙方程和锥形特征值方程中的分歧积分。一个是Lepage和Brodsky提出的计划的扩展版本，几乎等同于常规公式中的监管。另一个是Lenz，Ohta，Thies和Yazaki提出的一个，仅规范横向方向，同时在两个部门世界中用于总体纽瓦的模型的方式重命名纵向方向。已发现后者可以为Pion结构函数提供更好的结果。可以预期，这种格式化将是迈出更一般的框架，以描述轻锥上的手性对称性。相对论FADDEEV方法中的核结构函数还通过轻锥变量计算，尽管在这种情况下我们尚未开发出轻度的哈密顿形式的形式。在上述情况下，相对论的谐波振荡器Quark模型已用于研究与近跨跨跨跨副差异问题相关的核介质的内部动力学。我们还研究了H-Dibaryons之间的相互作用，以检查多纠缠Baryonic物质的可能性。较少的