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
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.