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arXiv 1701.02607nucl-th
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格点量子色动力学力在$M_{PS}=$ 469 MeV/c $^2$上的双幻核

Doubly magic nuclei from Lattice QCD forces at $M_{PS}=$469 MeV/c$^2$

C. McIlroy, C. Barbieri, T. Inoue, T. Doi, T. Hatsuda

摘要:

基于格点量子色动力学模拟得到的双核子势,在味SU(3)极限下,赝标介子质量为469 MeV/c $^{\rm 2}$,对闭壳层核$^{\rm 4}$ He,$^{\rm 16}$ O和$^{\rm 40}$ Ca进行了从头算自洽格林函数计算.核子-核子相互作用用HAL QCD方法得到,短程排斥用模型空间外的阶梯近似处理。我们的研究结果表明,这种方法对角化紫外自由度正确。因此,即使对于相对硬的HAL QCD势,也可以从红外外推得到基态能量。与之前的Brueckner Hartree-Fock计算相比,通过充分考虑多体相关性,总结合能得到了显着提高。结果表明,一个有趣的可能的行为,在非常大的π介子质量和岛屿的稳定性是在第一次出现在传统的双幻数周围时,π介子质量降低到其物理值的核是不受约束的。计算得到的单核子谱分布在性质上接近于真实核的谱分布,即使对于这里考虑的赝标介子质量。

英文摘要:

We perform ab initio self-consistent Green's function calculations of the closed shell nuclei $^{\rm 4}$He, $^{\rm 16}$O and $^{\rm 40}$Ca, based on two-nucleon potentials derived from Lattice QCD simulations, in the flavor SU(3) limit and at the pseudo-scalar meson mass of 469~MeV/c$^{\rm 2}$. The nucleon-nucleon interaction is obtained using the HAL QCD method and its short-distance repulsion is treated by means of ladder resummations outside the model space. Our results show that this approach diagonalises ultraviolet degrees of freedom correctly. Therefore, ground state energies can be obtained from infrared extrapolations even for the relatively hard potentials of HAL QCD. Comparing to previous Brueckner Hartree-Fock calculations, the total binding energies are sensibly improved by the full account of many-body correlations. The results suggest an interesting possible behaviour in which nuclei are unbound at very large pion masses and islands of stability appear at first around the traditional doubly-magic numbers when the pion mass is lowered toward its physical value. The calculated one-nucleon spectral distributions are qualitatively close to those of real nuclei even for the pseudo-scalar meson mass considered here.

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