论文标题
S-Wave Kaon-Nucleon潜力在HAL QCD方法中具有全能的传播器
S-wave kaon-nucleon potentials with all-to-all propagators in the HAL QCD method
论文作者
论文摘要
在本文中，我们采用了全能的夸克繁殖技术，我们研究了晶格QCD中的Kaon-Nucleon相互作用。 We calculate the S-wave kaon-nucleon potentials at the leading order in the derivative expansion in the time-dependent HAL QCD method, using (2+1)-flavor gauge configurations at the lattice spacing $a \approx 0.09$ fm on $32^3 \times 64$ lattices and the pion mass $m_π \approx 570$ MeV.我们为全能传播者采用一个端技巧，这使我们能够将零动量强子操作员放在源和汇，并在源涂抹夸克运算符。我们发现$ i = 1 $通道中比$ i = 0 $中的排斥互动更强。通过求解具有势能的schrödinger方程来获得的相移，可定性地再现实验相移的能量依赖性，并具有与晶格QCD的先前结果相似的行为，而无需全部传播器。我们的研究表明，具有一端技巧的全能的夸克传播器技术对于研究HAL QCD方法中的中森 - 巴里昂系统的相互作用很有用，因此我们将其应用于包含夸克 - 抗烟囱创建/歼灭过程的梅森 - 巴里昂系统。
In this paper, employing an all-to-all quark propagator technique, we investigate the kaon-nucleon interactions in lattice QCD. We calculate the S-wave kaon-nucleon potentials at the leading order in the derivative expansion in the time-dependent HAL QCD method, using (2+1)-flavor gauge configurations at the lattice spacing $a \approx 0.09$ fm on $32^3 \times 64$ lattices and the pion mass $m_π \approx 570$ MeV. We take the one-end trick for all-to-all propagators, which allows us to put the zero momentum hadron operators at both source and sink and to smear quark operators at the source. We find the stronger repulsive interaction in the $I=1$ channel than in the $I=0$. The phase shifts obtained by solving the Schrödinger equations with the potentials qualitatively reproduce the energy dependence of the experimental phase shifts, and have the similar behavior to the previous results from lattice QCD without all-to-all propagators. Our study demonstrates that the all-to-all quark propagator technique with the one-end trick is useful to study interactions for meson-baryon systems in the HAL QCD method, so that we will apply it to meson-baryon systems which contain quark-antiquark creation/annihilation processes in our future studies.
