确定多重子系统中关联函数的一种递归方法
A recursive approach to determine correlation functions in multi-baryon systems
摘要：
本文提出了一种计算多重子关联函数的递归算法，它结合了递归方法和最近提出的统一压缩算法的优点。通过以给定的顺序一个接一个地添加重子，递归地构建了重子的独立分量。非零独立组件的列表也是以递归方式构造的，从而显著减少了这一步骤所需的资源。我们计算了计算最多Be ^8的乘法器所需的运算次数，并观察到与其他技术相比，速度有了显著提高。在完全相对论性的情况下，计算He ^4和Be ^8的关联函数需要O（10^8）次运算，而对于非相对论性的算符，在He ^4的情况下，这个数可以减少到O（10^4）。
英文摘要：
We propose a recursive algorithm for the calculation of multi-baryon correlation functions that combines the advantages of a recursive approach with those of the recently proposed unified contraction algorithm. The independent components of the correlators are built recursively by adding the baryons one after the other in a given order. The list of nonzero independent components is also constructed in a recursive manner, significantly reducing the resources required for this step. We computed the number of operations required to calculate the correlators up to Be^8, and observed a significant speedup compared to other techniques. For the calculation of He^4 and Be^8 correlation functions in the fully relativistic case O(10^8) operations are required, whereas for non-relativistic operators this number can be reduced to e.g. O(10^4) in the case of He^4.
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