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arXiv 1607.00835nucl-th
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非相对论性有限程相互作用的无限物质性质和零程极限

Infinite matter properties and zero-range limit of nonrelativistic finite-range interactions

D. Davesne, P. Becker, A. Pastore, J. Navarro

摘要:

讨论了两种广泛用于原子核结构计算的有限程相互作用Gogny和M3 Y的无限物质性质。我们表明,从对称核物质状态方程的自旋-同位旋通道和分波分解中,可以推导出中心项、张量项和自旋-轨道项的一些有用信息。我们特别表明,Gogny相互作用的中心部分应受益于引入第三高斯和张量参数的相互作用可以推导出特殊的组合的分波。我们还讨论了M3 Y相互作用的自旋轨道与局域规范不变性不相容的事实。最后,我们表明,这两个家庭的相互作用的零范围限制相吻合的零范围N3 LO Skyrme相互作用的具体形式,我们强调从这个类比的好处N3 LO。

英文摘要:

We discuss some infinite matter properties of two finite-range interactions widely used for nuclear structure calculations, namely Gogny and M3Y interactions. We show that some useful informations can be deduced for the central, tensor and spin-orbit terms from the spin-isospin channels and the partial wave decomposition of the symmetric nuclear matter equation of state. We show in particular that the central part of the Gogny interaction should benefit from the introduction of a third Gaussian and the tensor parameters of both interactions can be deduced from special combinations of partial waves. We also discuss the fact that the spin-orbit of the M3Y interaction is not compatible with local gauge invariance. Finally, we show that the zero-range limit of both families of interactions coincides with the specific form of the zero-range N3LO Skyrme interaction and we emphasize from this analogy the benefits of N3LO.

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