具有稀释随机源的高能核子
Accessing high-momentum nucleons with dilute stochastic sources
摘要：
本文采用一种新的随机技术，结合$\mathbb{Z}_3$噪声的稀源网格和迭代动量涂抹，研究了两个格点体上质子在静止和提升标架中的关联函数。该技术利用重子版本的所谓的一端技巧，并分解成信号和噪声项的随机质子关联函数是明确的。稀疏网格中源点的数量和位置应选择为使得在许多位置上求平均的益处克服由期望拟合区域中的噪声项引入的额外统计误差。在所有非平凡的动量值考虑，我们发现，选择$N=4$ - $8$最大分离源的位置被证明是最佳的，提供一个减少的统计误差时，与一个单一的点源相比。这使我们能够成功地适合质子能量的动量值高达$|\vec{p}| \simeq 3.75$ GeV和$|\vec{p}| \simeq 2.82$ GeV的小和大体积分别。
英文摘要：
A novel stochastic technique combining a dilute source grid of $\mathbb{Z}_3$ noise with iterative momentum-smearing is used to study the proton correlation function at rest and in boosted frames on two lattice volumes. The technique makes use of the baryonic version of the so-called one-end trick, and the decomposition into signal and noise terms of the resulting stochastic proton correlation function is made explicit. The number and location of the source points in the dilute grid should be chosen so that the benefits of averaging over many locations overcomes the additional statistical error introduced by the noise terms in the desired fitting region. At all nontrivial momentum values considered we find that the choice of $N=4$--$8$ maximally separated source locations is shown to be optimal, providing a reduced statistical error when compared with a single point source. This enables us to successfully fit the proton energy at momentum values as high as $|\vec{p}| \simeq 3.75$ GeV and $|\vec{p}| \simeq 2.82$ GeV on the small and large volume respectively.
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