arXivDaily arXiv每日学术速递 周一至周五更新
arXiv 1003.3624nucl-th
收藏

原子核结构的幺正相关算符方法

Nuclear Structure in the Framework of the Unitary Correlation Operator Method

Robert Roth, Thomas Neff, Hans Feldmeier

摘要:

相关性在核多体问题中起着至关重要的作用。本文综述了原子核结构理论的最新进展,旨在通过幺正变换描述这些相互作用引起的关联。我们专注于酉相关算子方法(UCOM),它提供了一个非常直观的,通用的和强大的方法来处理短程相关性。我们详细讨论了UCOM形式主义,并强调了与其他方法的连接,用于描述短程相关性和构建有效的相互作用。特别是,我们并列UCOM与相似性重整化群(SRG)的方法,它实现了一个非常灵活的流动方程制定的哈密尔顿酉变换。UCOM和SRG转换的相互作用进行比较的矩阵元素的水平上,在多体计算内的无核壳模型和Hartree-Fock加微扰理论的各种核和观测。这些计算提供了一个详细的图片的相似性和差异,以及酉变换方法的优点和局限性。

英文摘要:

Correlations play a crucial role in the nuclear many-body problem. We give an overview of recent developments in nuclear structure theory aiming at the description of these interaction-induced correlations by unitary transformations. We focus on the Unitary Correlation Operator Method (UCOM), which offers a very intuitive, universal and robust approach for the treatment of short-range correlations. We discuss the UCOM formalism in detail and highlight the connections to other methods for the description of short-range correlations and the construction of effective interactions. In particular, we juxtapose UCOM with the Similarity Renormalization Group (SRG) approach, which implements the unitary transformation of the Hamiltonian through a very flexible flow-equation formulation. The UCOM- and SRG-transformed interactions are compared on the level of matrix elements and in many-body calculations within the no-core shell model and with Hartree-Fock plus perturbation theory for a variety of nuclei and observables. These calculations provide a detailed picture of the similarities and differences as well as the advantages and limitations of unitary transformation methods.

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。

↑