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Nuclear response functions with finite-range Gogny force: Tensor terms and instabilities

机译：核响应函数具有有限范围的Gogny力量：张量术语和稳定性

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摘要

A fully antisymmetrized random phase approximation calculation employing the continued fraction technique is performed to study nuclear matter response functions with the finite-range Gogny force. The most commonly used parameter sets of this force, as well as some recent generalizations that include the tensor terms, are considered and the corresponding response functions are shown. The calculations are performed at first and second order in the continued fraction expansion and the explicit expressions for the second-order tensor contributions are given. Comparisons between first-and second-order continued fraction expansion results are provided. The differences between the responses obtained at the two orders turn out to be more pronounced for the forces including tensor terms than for the standard Gogny ones. In the vector channels the responses calculated with Gogny forces including tensor terms are characterized by a large heterogeneity, reflecting the different choices for the tensor part of the interaction. For the sake of comparison the response functions obtained considering a G-matrix-based nuclear interaction are also shown. As a first application of the present calculation, the possible existence of spurious finite-size instabilities of the Gogny forces with or without tensor terms has been investigated. The positive conclusion is that all the Gogny forces but the GT2 one are free of spurious finite-size instabilities. In perspective, the tool developed in the present paper can be inserted in the fitting procedure to construct new Gogny-type forces.
机译：采用持续分数技术的完全防视随机相位近似计算，以研究有限范围的GOGNY力研究核问题响应功能。考虑该力最常用的参数集以及包括张量术语的一些最近的概括，并且显示了相应的响应函数。在持续的分数膨胀中首先和二阶执行计算，并给出用于二阶张量贡献的显式表达式。提供了第一和二阶继续分数膨胀结果之间的比较。在两个订单中获得的响应之间的差异结果将更加宣称，而不是标准的Gogny术语的力量。在矢量信道中，用包括张量术语包括古代术语计算的响应是具有大的异质性，反映了对相互作用的张量部分的不同选择。为了比较，还显示了考虑到基于G-矩阵的核相互作用而获得的响应功能。作为本计算的第一应用，已经研究了具有或不具有张力术语的古怪有限尺寸稳定性的可能存在的可能存在。正面的结论是所有的勇敢的力量，但GT2是没有杂散的有限尺寸稳定性。在角度来看，本文开发的工具可以插入配件程序中，以构建新的Gogny型力。

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