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arXiv 1503.07047nucl-thcond-mat.quant-gas
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广义核接触与核子动量分布

Generalized nuclear contacts and the nucleon's momentum distributions

Ronen Weiss, Betzalel Bazak, Nir Barnea

摘要:

一般的核接触矩阵的定义,考虑到所有的分波和有限范围的相互作用,扩展谭的零程模型的工作。讨论了这些矩阵的性质,导出了接触与单核子和双核子动量分布之间的关系。利用这些关系,得到了描述核中两体短程关联的单核子和双核子动量分布之间的一种新的渐近联系。使用现有的数值数据,我们提取几个不同的接触之间的连接,并验证它们的关系的动量分布。数值数据也使我们能够确定的主要核子动量范围的两体短程关联的影响。利用这些关系和数值数据,我们还验证了以前的独立预测之间的Levinger常数和接触。这项工作提供了一个重要的指示接触形式主义的相关性,核系统,并应打开路径,揭示更多有用的联系和感兴趣的数量的核和核物质。

英文摘要:

The general nuclear contact matrices are defined, taking into consideration all partial waves and finite-range interactions, extending Tan's work for the zero range model. The properties of these matrices are discussed and the relations between the contacts and the one-nucleon and two-nucleon momentum distributions are derived. Using these relations, a new asymptotic connection between the one-nucleon and two-nucleon momentum distributions, describing the two-body short-range correlations in nuclei, is obtained. Using available numerical data, we extract few connections between the different contacts and verify their relations to the momentum distributions. The numerical data also allows us to identify the main nucleon momentum range affected by two-body short-range correlations. Utilizing these relations and the numerical data, we also verify a previous independent prediction connecting between the Levinger constant and the contacts. This work provides an important indication for the relevance of the contact formalism to nuclear systems, and should open the path for revealing more useful relations between the contacts and interesting quantities of nuclei and nuclear matter.

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