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Energies and radii of light nuclei around unitarity
The European Physical Journal A ( IF 2.6 ) Pub Date : 2020-04-15 , DOI: 10.1140/epja/s10050-020-00098-9
Sebastian König

Light nuclei fall within a regime of universal physics governed by the fact that the two-nucleon scattering lengths are large compared to the typical nuclear interaction range set by one-pion exchange. This places nuclear physics near the so-called unitarity limit in which the scattering lengths are exactly infinite. Effective field theory provides a powerful theoretical framework to capture this separation of scales in a systematic way. It is shown here that the nuclear force can be constructed as a perturbative expansion around the unitarity limit and that this expansion has good convergence properties for both the binding energies of \(A=3,4\) nuclei as well as for the radii of these states.

中文翻译:

围绕统一性的光核的能量和半径

轻核属于通用物理学的范畴,该事实受两个核子的散射长度与一键交换设定的典型核相互作用范围相比较大的事实支配。这将核物理置于所谓的统一性极限附近,在该极限中,散射长度恰好是无限的。有效的场论为系统地捕捉天平的分离提供了强大的理论框架。在此表明,核力可以构造为围绕统一性极限的扰动展开,并且该展开对于\(A = 3,4 \)原子核的结合能以及半径的均具有良好的收敛性质。这些状态。
更新日期:2020-04-15
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