Starting with the general principles of global and local symmetries, an effective lagrangian is developed to describe consistently low-energy electro-weak transitions in the system that incorporates nucleons, pions, \(\rho {\text {-}}mesons\), photons and \(W^{\pm }-, Z^0-\)bosons. As the effective lagrangian is essentially nonlinear in the pion field, we sum up properly emerged infinite series in the pion field so that no divergences occur in the course of calculations. The developed approach proves to be relevant to consider low-energy electro-weak interactions among \(\rho {\text {-}}mesons\), nucleons, and pions.

从全局和局部对称性的一般原理开始，开发了一种有效的拉格朗日函数，以描述系统中始终存在的低能电弱跃迁，该跃迁包含了核子，介子，\（\ rho {\ text {-}}介子\），光子和\（W ^ {\ pm}-，Z ^ 0- \）玻色子。由于有效的拉格朗日在pion场中基本上是非线性的，因此我们对pion场中出现的无穷级数进行了适当的归纳，因此在计算过程中不会出现发散。事实证明，开发的方法与考虑\（\ rho {\ text {-}}介子\），核子和介子之间的低能电弱相互作用有关。