π介子中Boer-Mulders横动量分布的晶格研究
Lattice study of the Boer-Mulders transverse momentum distribution in the pion
摘要:
Boer-Mulders横动量相关部分子分布(TMD)描述了非极化强子中极化夸克的横动量。以前开发的核子TMD的晶格计算技术适用于π介子。这些技术的基础上评价的夸克双局域运营商包含一个钉书钉形威尔逊连接的矩阵元素。在π介子质量为$m_π = 518\, \mbox{MeV} $时,给出了π介子中的布尔-穆德横动量位移的结果,并与核子中的相应结果进行了比较。
英文摘要:
The Boer-Mulders transverse momentum-dependent parton distribution (TMD) characterizes polarized quark transverse momentum in an unpolarized hadron. Techniques previously developed for lattice calculations of nucleon TMDs are applied to the pion. These techniques are based on the evaluation of matrix elements of quark bilocal operators containing a staple-shaped Wilson connection. Results for the Boer-Mulders transverse momentum shift in the pion, obtained at a pion mass of $m_π = 518\, \mbox{MeV} $, are presented and compared to corresponding results in the nucleon.
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