猝灭格点量子色动力学中氦核的计算
Calculation of Helium nuclei in quenched lattice QCD
摘要：
本文用猝灭格点量子色动力学计算了重夸克质量为m_pi = 0.8 GeV，格点间距为a =0.128 fm时^4 He和^3 He核的结合能.通过避免核中质子或中子的排列对称性和各种其他对称性产生的等效收缩的冗余，减少了核关联函数的巨大计算成本。为了区分束缚态和吸引散射态，我们通过改变晶格的空间范围从3.1 fm到12.3 fm，研究了原子核通道的基态能量和自由多核子态之间的能量差的体积依赖性.在无限大的空间体积极限中留下的有限能量差导致了所测量的基态是有界的结论。同样令人鼓舞的是，测量的结合能和实验的结合能显示出相同的数量级。
英文摘要：
We present results for the binding energies for ^4He and ^3He nuclei calculated in quenched lattice QCD at the lattice spacing of a =0.128 fm with a heavy quark mass corresponding to m_pi = 0.8 GeV. Enormous computational cost for the nucleus correlation functions is reduced by avoiding redundancy of equivalent contractions stemming from permutation symmetry of protons or neutrons in the nucleus and various other symmetries. To distinguish a bound state from an attractive scattering state, we investigate the volume dependence of the energy difference between the ground state energy of the nucleus channel and the free multi-nucleon states by changing the spatial extent of the lattice from 3.1 fm to 12.3 fm. A finite energy difference left in the infinite spatial volume limit leads to the conclusion that the measured ground states are bounded. It is also encouraging that the measured binding energies and the experimental ones show the same order of magnitude.
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