Abstract

The K-matrix approach is mostly used when analyzing the overlapping resonances. It provides unitarity of the scattering matrix, however, its parameters are not physical quantities; the resonant and background contributions cannot be separated; and the scattering amplitudes have zeros between the positions of resonances. The parameters of the Breit—Wigner (BW) functions are the masses and widths of resonances; however, the sum of such functions violates unitarity. We construct a unitary S-matrix by taking into account the interference of BW functions. In the examples presented in the paper, these two approaches are compared.

中文翻译：

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使用K矩阵和Breit-Wigner方法分析重叠共振

摘要

所述ķ分析重叠共振时-矩阵的方法大多使用。它提供了散射矩阵的统一性，但是其参数不是物理量。共振和背景的贡献不能分开；共振位置之间的散射幅度为零。Breit-Wigner（BW）函数的参数是共振的质量和宽度。但是，这些功能的总和违反了统一性。考虑到BW函数的干扰，我们构造了一个统一的S矩阵。在本文提供的示例中，比较了这两种方法。