论文标题
光学电位的重新归一化组演变:使用玩具模型的探索
Renormalization group evolution of optical potentials: explorations using a toy model
论文作者
论文摘要
为了充分利用实验设施,例如在核天体物理学,核结构和中微子和基本对称性的探索中应用的FRIB,我们需要更好地理解反应和结构理论的相互作用。重新归一化组(RG)是维持反应和结构一致处理的天然工具。在这里,我们首先研究了RG的光电位,这是直接反应的重要成分。为了简化分析,我们使用教学一维模型,并使用相似性RG(或SRG)向低RG分辨率发展。我们展示了低分辨率下的SRG解耦如何传递到光电位并增强扰动近似值,以及诱导的SRG非局部性与光势非局部性相比如何。我们在直接反应的分析中讨论了操作员和波函数一致的SRG演变的较大背景下的结果。
To take full advantage of experimental facilities such as FRIB for applications to nuclear astrophysics, nuclear structure, and explorations of neutrinos and fundamental symmetries, we need a better understanding of the interplay of reaction and structure theory. The renormalization group (RG) is the natural tool for maintaining a consistent treatment of reaction and structure. Here we make a first study of RG for optical potentials, which are important ingredients for direct reactions. To simplify the analysis, we use a pedagogical one-dimensional model and evolve toward low RG resolution using the similarity RG (or SRG). We show how SRG decoupling at low resolution carries over to the optical potential and enhances perturbative approximations, and how induced SRG nonlocality compares to the nonlocality of the optical potential. We discuss the results in the larger context of consistent SRG evolution of operators and wave functions in the analysis of direct reactions.