论文标题
$ i = 1 $ $ππ$系统的HAL QCD潜力与$ρ$ MESON BOUND状态
The HAL QCD potential in $I=1$ $ππ$ system with the $ρ$ meson bound state
论文作者
论文摘要
在本文中，我们研究了使用混合方法的全能传播器中的$ i = 1 $ $π$散射中的HAL QCD电位，其中繁殖者被低纤维模型近似，其余的高元素部分则经过了全面的估计。为了验证混合方法对包含夸克创建$/$ nihihitation贡献的系统的适用性，例如$ρ$ meson，我们计算出$ i = 1 $ $ $ $ππ$的潜力，并在$ 16^32 $ 32 $ 32 $ lattice上使用2+1个味道配置在lattice $ a \ a \ a \ $ a flattice $ a flattice上，大约0.12 $ fm（MOS），和（MOS），MOST（mort）和（mors）和（mors）和（mors）和（MOS） 1230）$ MEV，其中$ρ$ Meson看起来是一个深处的状态。虽然我们发现对夸克创造的天真随机评估$/$ niHIhitation贡献导致极大的统计波动，但额外的降噪方法使我们能够获得足够精确的潜力，这表明了强大的吸引力。我们还确认，从我们的潜力中获得的结合能和$ k^3 \ cotδ$与现有的$ρ$ meson绑定状态一致，这与我们的计算相关的很大的系统误差，还讨论了其可能的来源。
In this paper, we investigate the HAL QCD potential in the $I=1$ $ππ$ scattering using the hybrid method for all-to-all propagators, in which a propagator is approximated by low-eigenmodes and the remaining high-eigenmode part is stochastically estimated. To verify the applicability of the hybrid method to systems containing quark creation$/$annihilation contributions such as the $ρ$ meson, we calculate the $I=1$ $ππ$ potential with the 2+1 flavor gauge configurations on $16^3 \times 32$ lattice at the lattice spacing $a \approx 0.12$ fm and $(m_π,m_ρ) \approx (870, 1230)$ MeV, in which the $ρ$ meson appears as a deeply-bound state. While we find that the naive stochastic evaluations for quark creation$/$annihilation contributions lead to extremely large statistical fluctuations, additional noise reduction methods enable us to obtain a sufficiently precise potential, which shows a strong attractive force. We also confirm that the binding energy and $k^3 \cot δ$ obtained from our potential are roughly consistent with an existing $ρ$ meson bound state, within a large systematic error associated with our calculation, whose possible origin is also discussed.
