论文标题
在晶格QCD中优化了两个巴里昂的操作员
Optimized Two-Baryon Operators in Lattice QCD
论文作者
论文摘要
通过HAL QCD方法构建了一组优化的插值操作员，它们主要耦合到晶格上两个重子的每个特征状态。为了测试其有效性，我们考虑了重型Dibaryons $ω_{3Q}ω__{3Q} $（$ Q = S，C $）由（2+1）计算得出的 - 具有接近物理胎质量的晶格QCD模拟。优化的两种巴里子操作员被证明可提供地面的有效能量，而激发态则分别稳定，这是欧几里得时代的函数。他们也同意从统计错误中从前列HAL QCD势$ V（{\ boldsymbol {r}}）$获得的有限晶格框中的特征素化。优化的水槽操作员与壁型源操作员创建的状态之间的重叠因子表明，无论两个baryons的时空相关性是否由地面状态或激发状态支配，都可以可靠地提取$ v（\ boldsymbol {r}）$。据建议，优化的一组运算符可用于对强子 - 摩托马相互作用的变分研究。
A set of optimized interpolating operators which are dominantly coupled to each eigenstate of two baryons on the lattice is constructed by the HAL QCD method. To test its validity, we consider heavy dibaryons $Ω_{3Q}Ω_{3Q}$ ($Q=s,c$) calculated by (2+1)-flavor lattice QCD simulations with nearly physical pion mass. The optimized two-baryon operators are shown to provide effective energies of the ground and excited states separately stable as a function of the Euclidean time. Also they agree to the eigenenergies in a finite lattice box obtained from the leading-order HAL QCD potential $V({\boldsymbol{r}})$ within statistical errors. The overlapping factors between the optimized sink operators and the state created by the wall-type source operator indicate that $V( \boldsymbol{r})$ can be reliably extracted, no matter whether the spacetime correlation of two baryons is dominated by the ground state or the excited state. It is suggested that the optimized set of operators is useful for variational studies of hadron-hadron interactions.
