δ函数势的Galilean Lee模型
Galilean Lee Model of the Delta Function Potential
摘要：
与二维δ函数相关的散射截面最近已成为大量研究的对象。它在这里表明，这个问题可以放在一个领域的理论框架，通过建设一个适当的伽利略协变理论。标准汤川相互作用的李模型提供了这样的实现。在散射通道中存在稳定粒子的情况下，只要在相关参数空间中取一定的限制，就可以得到δ函数散射的通常结果。在更一般的情况下，其中没有采取这样的限制有限的修正的横截面得到的（不同于纯δ函数的情况下）取决于耦合常数的模型。
英文摘要：
The scattering cross section associated with a two dimensional delta function has recently been the object of considerable study. It is shown here that this problem can be put into a field theoretical framework by the construction of an appropriate Galilean covariant theory. The Lee model with a standard Yukawa interaction is shown to provide such a realization. The usual results for delta function scattering are then obtained in the case that a stable particle exists in the scattering channel provided that a certain limit is taken in the relevant parameter space. In the more general case in which no such limit is taken finite corrections to the cross section are obtained which (unlike the pure delta function case) depend on the coupling constant of the model.
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