论文标题

晶格上的$δ^+$的Parton分布功能

Parton distribution functions of $Δ^+$ on the lattice

论文作者

Chai, Yahui, Li, Yuan, Xia, Shicheng, Alexandrou, Constantia, Cichy, Krzysztof, Constantinou, Martha, Feng, Xu, Hadjiyiannakou, Kyriakos, Jansen, Karl, Koutsou, Giannis, Liu, Chuan, Scapellato, Aurora, Steffens, Fernanda

论文摘要

我们使用晶格QCD模拟在大动量有效理论的框架内使用$δ^+$ baryon的非偏光part分布函数进行了第一个计算。 $ n_f = 2+1+1 $扭曲的质量费米子的两个合奏分别以270 MeV和360 MeV的形式使用。 Baryon被视为稳定的单粒子状态,用动量$ P_3 $增强,值$ \ {0.42,0.83,1.25 \} $ GEV,我们利用动量涂抹来改善信号。 $δ+$的非偏光part量分布函数是使用非扰动重态化和用于匹配的一环公式获得的,具有令人鼓舞的精度。特别是,我们计算$ \叠加{d}(x) - \ edline {u}(x)$非对称性,并将其与核中相同的量化进行比较,以首次尝试解决负责生成非对称性的物理机制。

We perform a first calculation for the unpolarized parton distribution function of the $Δ^+$ baryon using lattice QCD simulations within the framework of Large Momentum Effective Theory. Two ensembles of $N_f=2+1+1$ twisted mass fermions are utilized with a pion mass of 270 MeV and 360 MeV, respectively. The baryon, which is treated as a stable single-particle state, is boosted with momentum $P_3$ with values $\{0.42,0.83,1.25\}$ GeV, and we utilize momentum smearing to improve the signal. The unpolarized parton distribution function of $Δ^+$ is obtained using a non-perturbative renormalization and a one-loop formula for the matching, with encouraging precision. In particular, we compute the $\overline{d}(x)-\overline{u}(x)$ asymmetry and compare it with the same quantity in the nucleon, in a first attempt towards resolving the physical mechanism responsible for generating such asymmetry.

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