arXivDaily arXiv每日学术速递 周一至周五更新
arXiv 0710.4422hep-lat
收藏

核力的格点量子色动力学方法

Lattice QCD approach to nuclear force

N. Ishii, S. Aoki, T. Hatsuda

摘要:

我们给出了在32 ^4(\simeq(4.4 fm)^4)格点上采用格元规范作用量和威尔逊夸克作用量的淬灭格点量子色动力学模拟中核子-核子势的最新结果。从等时Bethe-Salpeter(BS)波函数出发,通过Schroedinger型方程构造NN势。由此得到的NN势具有唯象势所具有的所有定性特征:近距离的排斥核和中、长距离的吸引阱。在L \to \infty极限下,我们的NN势保证再现从Luescher公式获得的散射长度。用m_{pi} \sim 380、529、731 MeV研究了NN势的夸克质量依赖性。结果表明,在轻夸克质量区,近距离的排斥核和中距离的吸引势阱都得到了增强。

英文摘要:

We present our updated results of the nucleon-nucleon potential in quenched lattice QCD simulations with the plaquette gauge action and the Wilson quark action on the 32^4(\simeq (4.4 fm)^4) lattice. From the equal-time Bethe-Salpeter (BS) wave function, the NN potential is constructed through the Schroedinger-type equation. Resulting NN potential has all the qualitative features which phenomenological potentials commonly have: the repulsive core at short distance and the attractive well at medium and long distances. In the L \to \infty limit, our NN potential is guaranteed to reproduce the scattering length obtained from the Luescher's formula. The quark mass dependence of the NN potential is studied with m_{pi} \sim 380, 529, 731 MeV. The results suggest that both the repulsive core at short distance and the attractive well at medium distance are enhanced in the light quark mass region.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

↑