论文标题
在手性夸克模型中得出的重手性扰动理论中低能耦合常数的关系
Relations for low-energy coupling constants in baryon chiral perturbation theory derived from the chiral quark model
论文作者
论文摘要
如果人们假设在夸克（Quark-Quark-Meson）的偶像中同样描述了夸克性的模型对称性，则可以在巴里式手性扰动理论（$χpt$）中建立低能常数（LEC）之间的关系。通过$ su（2）$描述与$ su（3）$描述的对应关系，在夸克级别的同一耦合顶点之间，我们发现$ su（2）_ {χpt} $和$ su（3）_ {χpt} $中的LEC之间有一些关系。还获得了$ su（3）_ {χPT} $ LEC关系以相同的顺序。数值分析大致支持了这些关系。在可用的实验数据还不够的情况下，人们可能会采用此类限制来减少LEC数量。
The quark model symmetry can be adopted to establish relations between the low-energy constants (LECs) in the baryon chiral perturbation theory ($χPT$) if one assumes that a baryon-baryon-meson coupling is described equivalently by a quark-quark-meson coupling at the quark level. Through the correspondence between the $SU(2)$ description and the $SU(3)$ description for the same coupling vertex at the quark level, we find some relations between the LECs in $SU(2)_{χPT}$ and $SU(3)_{χPT}$ up to the third chiral order. The $SU(3)_{χPT}$ LEC relations at the same order are also obtained. The numerical analysis roughly supports these relations. In the situation that the available experimental data are not enough, one may employ such constraints to reduce the number of LECs.
