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由低动量核子-核子势导出的核系统的结构

The structure of nuclear systems derived from low momentum nucleon-nucleon potentials

J. Kuckei, F. Montani, H. Müther, A. Sedrakian

备注：
16 pages including 4 Figures
发表信息：
Nucl.Phys. A723 (2003) 32-44
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摘要：

各种原子核结构观测值进行评估，采用低动量核子核子（NN）的潜力$V_{\rm low-k}$来自CD波恩和奈梅亨NN相互作用$V_{NN}$。通过构造，原始$V_{NN}$的高动量模式被集成到$V_{\rm low-k}$中，要求精确地再现$V_{NN}$的氘核结合能和低能相移。利用这种相互作用，我们评估的整体性质（结合能和饱和密度）的核物质和有限的核，特别是它们的依赖于截止参数。在朗道参数化下，我们还研究了核物质中的对能隙和剩余相互作用。在低密度和中等密度下，用CD-Bonn势和Nijmegen势导出的$V_{\rm low-k}$计算的HF和BHF核物质结合能几乎相同。由$V_{\rm low-k}$计算得到的对能隙和Landau参数与全空间$V_{NN}$计算结果非常接近。然而，如果假设高动量模的截止与密度无关，则$V_{\rm low-k}$相互作用不能再现高密度下核物质的饱和性质。

英文摘要：

Various nuclear structure observables are evaluated employing low-momentum nucleon-nucleon (NN) potentials $V_{\rm low-k}$ derived from the CD-Bonn and Nijmegen NN interactions $V_{NN}$. By construction, the high momentum modes of the original $V_{NN}$ are integrated out in $V_{\rm low-k}$, with the requirement that the deuteron binding energy and low energy phase shifts of $V_{NN}$ are exactly reproduced. Using this interaction, we evaluate the bulk properties (binding energy and saturation density) of nuclear matter and finite nuclei, in particular their dependence on the cut-off parameter. We also study the pairing gap and the residual interaction in nuclear matter in terms of the Landau parametrization. At low and medium densities, the HF and BHF binding energies for nuclear matter calculated with the $V_{\rm low-k}$'s derived from the CD-Bonn and Nijmegen potentials are nearly identical. The pairing gaps and Landau parameters derived from $V_{\rm low-k}$ are remarkably close to those given by the full-space $V_{NN}$. The $V_{\rm low-k}$ interactions, however, fail to reproduce the saturation property of nuclear matter at higher densities if the cut-off for the high momentum modes is assumed density independent.

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