无核壳模型计算的最新进展
Recent developments in no-core shell-model calculations
摘要：
本文综述了无核壳模型（NCSM）的最新研究结果和发展。NCSM是一种研究轻核多体问题的从头算方法。在这种方法中，我们从现实的两核子或两加三核子相互作用开始。多体计算使用有限谐波振荡器（HO）的基础。为了促进现实的核子间相互作用，产生强的短程相关的收敛，我们得到有效的相互作用的幺正变换，适合HO基础截断。对于软现实交互，这可能不是必需的。如果是这种情况，NCSM计算是变分的。在任何一种情况下，从头计算NCSM保持核多体问题的平移不变性。在这篇综述中，我们，特别是，突出的结果与手性二加三核子相互作用。我们讨论的努力扩展的适用性的NCSM更重的核和更大的模型空间，使用重要性截断方案和/或使用有效的相互作用的核心。我们概述了一个扩展的从头算NCSM的描述核反应的共振基团方法技术。未来的方向的方法，从头算NCSM与连续，这将提供一个完整的描述与耦合的束缚态和连续态的开放系统的核，给出了在审查的结论部分。
英文摘要：
We present an overview of recent results and developments of the no-core shell model (NCSM), an ab initio approach to the nuclear many-body problem for light nuclei. In this approach, we start from realistic two-nucleon or two- plus three-nucleon interactions. Many-body calculations are performed using a finite harmonic-oscillator (HO) basis. To facilitate convergence for realistic inter-nucleon interactions that generate strong short-range correlations, we derive effective interactions by unitary transformations that are tailored to the HO basis truncation. For soft realistic interactions this might not be necessary. If that is the case, the NCSM calculations are variational. In either case, the ab initio NCSM preserves translational invariance of the nuclear many-body problem. In this review, we, in particular, highlight results obtained with the chiral two- plus three-nucleon interactions. We discuss efforts to extend the applicability of the NCSM to heavier nuclei and larger model spaces using importance-truncation schemes and/or use of effective interactions with a core. We outline an extension of the ab initio NCSM to the description of nuclear reactions by the resonating group method technique. A future direction of the approach, the ab initio NCSM with continuum, which will provide a complete description of nuclei as open systems with coupling of bound and continuum states, is given in the concluding part of the review.
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