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arXiv 0706.2695nucl-th
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非相对论光学模型势的泛函介质依赖性

Functional medium-dependence of the nonrelativistic optical model potential

H. F. Arellano, Eric Bauge

摘要:

通过研究在局部坐标系中球对称的两体相互作用在动量和坐标空间中的结构,我们证明了它可以被分解为两个不同的贡献。其中之一是一个独立于介质和动量守恒项,而另一个是功能-和专门-成比例的径向衍生物的减少矩阵元素。作为例子,这个精确的结果被应用到动量空间中的未删节的光学势,导致无介质和依赖介质的贡献之间的显式分离。后者不依赖于约化的有效相互作用的强度,而仅依赖于其相对于密度的变化。密度的径向导数的调制增强了表面中的效应,并且抑制了饱和体积中的效应。这一结果的普遍性可能被证明是有用的表面敏感现象的研究。

英文摘要:

By examining the structure in momentum and coordinate space of a two-body interaction spherically symmetric in its local coordinate, we demonstrate that it can be disentangled into two distinctive contributions. One of them is a medium-independent and momentum-conserving term, whereas the other is functionally --and exclusively-- proportional to the radial derivative of the reduced matrix element. As example, this exact result was applied to the unabridged optical potential in momentum space, leading to an explicit separation between the medium-free and medium-dependent contributions. The latter does not depend on the strength of the reduced effective interaction but only on its variations with respect to the density. The modulation of radial derivatives of the density enhances the effect in the surface and suppresses it in the saturated volume. The generality of this result may prove to be useful for the study of surface-sensitive phenomena.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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