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arXiv 1111.5727hep-lat
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猝灭格点量子色动力学中双核子系统的束缚态

Bound state of two-nucleon systems in quenched lattice QCD

T. Yamazaki

摘要:

在格点间距a =0.128 fm,重夸克质量m_pi = 0.8 GeV的猝灭近似下,讨论了格点量子色动力学中双核子系统的束缚态问题.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,研究了基态和自由双核子态之间能量差的体积依赖性。在无限大的空间体积极限中留下有限的能量差,我们得出这样的结论:所测得的自旋三重态和单重态通道的基态都是有界的。此外,通过研究用2 × 2对角化方法得到的第一激发态的能量性质,证实了束缚态的存在。两个通道的散射长度由Luscher导出的有限体积公式计算。

英文摘要:

We address the issue of bound state in the two-nucleon system in lattice QCD with the quenched approximation at the lattice spacing of a =0.128 fm using a heavy quark mass corresponding to m_pi = 0.8 GeV. To distinguish a bound state from an attractive scattering state, we investigate the volume dependence of the energy difference between the ground state and the free two-nucleon state 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 us to the conclusion that the measured ground states for not only spin triplet but also singlet channels are bounded. Furthermore the existence of the bound state is confirmed by investigating the properties of the energy for the first excited state obtained by 2x2 diagonalization method. The scattering lengths for both channels are evaluated by the finite volume formula derived by Luscher.

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