用generator坐标方法计算复合粒子的衰变宽度
Composite-particle decay widths by the generator coordinate method
摘要：
研究了应用自洽平均场论的生成坐标方法（GCM）计算复合粒子到复合粒子末态的衰变宽度的可行性。主要的问题是大气环流模式在多大程度上能近似衰变通道中的连续波函数。分析是简单的假设下，GCM波函数可分为内部和高斯质心波函数。两种方法被检查用于计算衰变宽度。在一种方法中，最终状态的密度完全在GCM框架中计算。在另一种方法中，它是通过匹配的GCM波函数的渐近散射波函数。这两种方法都适用于一个数值例子，并发现同意在其确定的不确定性。
英文摘要：
We study the feasibility of applying the Generator Coordinate Method (GCM) of self-consistent mean-field theory to calculate decay widths of composite particles to composite-particle final states. The main question is how well the GCM can approximate continuum wave functions in the decay channels. The analysis is straightforward under the assumption that the GCM wave functions are separable into internal and Gaussian center-of-mass wave functions. Two methods are examined for calculating decays widths. In one method, the density of final states is computed entirely in the GCM framework. In the other method, it is determined by matching the GCM wave function to an asymptotic scattering wave function. Both methods are applied to a numerical example and are found to agree within their determined uncertainties.
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