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arXiv 1012.3814hep-latnucl-th
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格点量子色动力学中核子-核子势的非定域性

Non-locality of the nucleon-nucleon potential from Lattice QCD

Keiko Murano, Noriyoshi Ishii, Sinya Aoki, Tetsuo Hatsuda

摘要:

本文证明了格点上两个核子的Nambu-Bethe-Salpeter(NBS)波函数产生一个非定域的、能量无关的核子-核子(NN)势U(r,r ')。实际上,U(r,r ')的导数展开式目前被用来确定低能时的势能。在这份报告中,我们研究了非局部性的大小,以检查这样的衍生物扩展的收敛性。在m_π= 530 MeV的猝灭格点量子色动力学中,我们比较了质心能量E ~ 0 MeV和E ~ 45 MeV的NN势。通过比较1 S 0和1D 2通道中的自旋单重态势,我们还研究了自旋单重态势的角动量依赖性。我们发现,在上述能量范围内的非定域性和角动量的依赖性是可以忽略不计的统计误差。

英文摘要:

The Nambu-Bethe-Salpeter (NBS) wave function for two nucleons on the lattice has been shown to yield a non-local and energy-independent nucleon-nucleon (NN) potential, U(r,r'). In practice, the derivative expansion of U(r,r') is currently employed to determine the potential at low energies. In this report, we study the magnitude of non-locality to check the convergence of such a derivative expansion. With quenched lattice QCD at m_π= 530MeV, we compare the NN potentials at the center of mass energy E ~ 0 MeV and at E ~ 45 MeV. We also investigate the angular momentum dependence of the spin singlet potential, by comparing the potentials in 1S0 and 1D2 channels. We find that the non-locality and the angular momentum dependence in the above energy range are negligible within statistical errors.

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