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首页> 外文期刊>Nuclear Physics, A: Journal Devoted to the Experimental Study of the Fundamental Constituents of Matter and Their Actions >SUMMATION OF TIME-DEPENDENT FOLDED DIAGRAMS FOR EFFECTIVE INTERACTIONS WITH A NON-DEGENERATE MODEL SPACE
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SUMMATION OF TIME-DEPENDENT FOLDED DIAGRAMS FOR EFFECTIVE INTERACTIONS WITH A NON-DEGENERATE MODEL SPACE

机译:与非退化模型空间有效相互作用的时滞折叠图的求和

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摘要

We analyze the diagrammatic structure of the effective interaction for the case of a non-degenerate model space. A time-dependent folded-diagram formulation is used. It is found that the valence-linked time-ordered diagrams contained in such effective interactions can also be expressed in terms of the multi-energy (Q) over cap-boxes of the form and, (Q) over cap(n) (epsilon(1) epsilon(2)...epsilon(n+1)), which were introduced by Suzuki et al. for a time-independent description of the effective interaction. A partial-fraction method for the evaluation of the multi-energy (Q) over cap box, in terms of valence-linked diagrams, is discussed. A generalized Krenciglowa-Kuo iteration method for summing up the folded-diagram series is also designed. A schematic model is solved to compare the non-degenerate theory with the usual degenerate theory. It is shown that the present approach makes a distinct improvement in the calculation of effective interactions. [References: 19]
机译:对于非退化模型空间,我们分析了有效交互的图解结构。使用了时间依赖的折线图公式。发现在这种有效相互作用中包含的价链时间顺序图也可以用以下形式的上限框上的多能(Q)和上限(n)上的(Q)(ε)来表示(1)epsilon(2)... epsilon(n + 1)),由Suzuki等人介绍。对有效交互的时间独立描述。根据价链图,讨论了一种用于评估帽盒上多能量(Q)的部分分数方法。还设计了一种广义的Krenciglowa-Kuo迭代方法来汇总折叠图序列。解决了一个示意图模型,将非简并理论与常规简并理论进行了比较。结果表明,本方法在有效相互作用的计算上有明显的改进。 [参考:19]

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