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

从核心内部结构培养基计算的结构真菌来扩展我们的模型。动态成分是您通常的公式的一半，而在存在相互作用的情况下消除了非动力的成分是微不足道的。用1 /n的扩展，最低的顺序和下一个秩序中的哈密顿量。信任差距方程式和一个方程式。在二维世界中使用的毛线模型已被发现为右键提供了更好的结果。 CALSO CALSO CALSO CALSO CALSO CALSO CALSO CALSO THE LIGHT-CONE变量，在这种情况下，轻型的汉密尔顿形式形式。与颜色透明的问题相关的核培养基，我们也有h-dibaryons的相互作用