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arXiv 1902.03543nucl-thhep-lat
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没有高动量势的核物理:直接从散射观测量构造核有效相互作用

Nuclear Physics without High-Momentum Potentials: Constructing the Nuclear Effective Interaction Directly from Scattering Observables

K. S. McElvain, W. C. Haxton

摘要:

传统的核物理方法将相移信息编码在核子-核子(NN)势中,产生核子级相互作用,捕获QCD的亚GeV结果。需要进一步减少到核尺度,以产生软希尔伯特空间的有效相互作用,例如壳模型中使用的那些。在这里,我们描述了这种有效相互作用的另一种构造,从QCD直接到核尺度,既直接又精确。这消除了构造和重正化高动量NN势的需要。相反,连续相移和混合角直接用于核尺度。该方法利用HOBET(基于谐振子的有效理论)的能量连续性分析,将束缚态与特定能量下的连续解联系起来。该过程是系统的,截止独立的,收敛的,产生keV精度在NNLO或N $^3$ LO,取决于通道。提供了Lepage图。

英文摘要:

The traditional approach to nuclear physics encodes phase shift information in a nucleon-nucleon (NN) potential, producing a nucleon-level interaction that captures the sub-GeV consequences of QCD. A further reduction to the nuclear scale is needed to produce an effective interaction for soft Hilbert spaces, such as those employed in the shell model. Here we describe an alternative construction of this effective interaction, from QCD directly to the nuclear scale, that is direct and precise. This eliminates the need for constructing and renormalizing the high-momentum NN potential. Instead, continuum phase shifts and mixing angles are used directly at the nuclear scale. The method exploits the analytic continuity in energy of HOBET (Harmonic-Oscillator-Based Effective Theory) to connect bound states to continuum solutions at specific energies. The procedure is systematic, cutoff independent, and convergent, yielding keV accuracy at NNLO or N$^3$LO, depending on the channel. Lepage plots are provided.

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