AI 中文总结
研究通过卷积模型计算氘核的张量极化部分子分布函数，将所得结果与HERMES数据比较有差异，还进行了相关转换和估计，因后续实验准备，该结果将接受检验。
AI 中文摘要
本文通过卷积形式计算氘核的张量极化部分子分布函数（PDFs），其由相应核子的非极化PDFs与氘核中张量极化核子动量分布卷积得到。在$Q^2 = 2.5$ GeV²下获得这些分布以与HERMES的$b_1$数据确定的张量极化PDFs比较，结果差异大。还将得到的PDFs转换为特伦托约定的PDFs，并用于通过类似Wandzura - Wilczek关系估计扭度 - 3 PDFs。因相关实验正在准备，所得张量极化PDFs将接受实验检验。
英文摘要
Tensor-polarized parton distribution functions (PDFs) are calculated for the deuteron by using a convolution formalism, where the tensor-polarized PDFs are given by the corresponding nucleon's unpolarized PDFs convoluted with the tensor-polarized nucleon momentum distribution in the deuteron. These distributions are obtained at $Q^2=2.5$ GeV$^2$ in order to compare with the tensor-polarized PDFs which were determined by HERMES $b_1$ data. The obtained distributions are very different from the ones determined from the HERMES data, which indicates further studies are needed to clarify the difference, possibly by considering a new mechanism beyond the simple bound system of a proton and a neutron. The obtained PDFs $δ_T q $ and $δ_T \bar q$ are converted to the PDFs of the Trento convention $f_{1LL}^{\, q}$ and $f_{1LL}^{\, \bar q}$, and they are used for estimating the twist-3 PDFs $f_{LT}^{\, q}$ and $f_{LT}^{\, \bar q}$ by using a Wandzura-Wilczek-like relation. Because deep-inelastic-scattering experiments are under preparation for structure functions with a tensor-polarized deuteron target at the Thomas Jefferson National Accelerator Facility, and a Drell-Yan experiment will be possible at hadron accelerator facilities, such as the Fermi National Accelerator Laboratory, the obtained tensor-polarized PDFs will be tested experimentally.
Comments7 pages, 5 figures
