In this work we derive a systematic short-range expansion of the many-body wave function. At leading order, the wave function is factorized to a zero-energy s-wave correlated pair and spectator particles, while terms that include energy derivatives and larger orbital angular momentum two-body functions appear at subleading orders. The validity of the expansion is tested for the two-body case, as well as the many-body case, where infinite neutron matter is considered. An accurate and consistent description of both coordinate-space two-body densities and the one-body momentum distribution is obtained. These results show the possibility to utilize such an expansion for describing different observables in strongly-interacting many-body systems, including nuclear, atomic and condensed-matter systems. This work also opens the path for a systematic description of large momentum transfer reactions in nuclear systems sensitive to short-range correlations, provides a link between such experiments and low-energy nuclear physics, and motivates measurement of new observables in these experiments.

中文翻译：

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量子多体问题的短程展开


在这项工作中，我们推导了多体波函数的系统短程展开。在主阶上，波函数被分解为零能量 s 波相关对和观察粒子，而包括能量导数和较大轨道角动量二体函数的项出现在次主阶上。针对二体情况以及考虑无限中子物质的多体情况测试了展开式的有效性。获得了坐标空间二体密度和一体动量分布的准确且一致的描述。这些结果表明可以利用这种扩展来描述强相互作用的多体系统（包括核、原子和凝聚态物质系统）中的不同可观测值。这项工作还为系统描述对短程相关性敏感的核系统中的大动量转移反应开辟了道路，提供了此类实验与低能核物理之间的联系，并激发了在这些实验中测量新的可观测值。