AI 中文总结
研究张量极化氘核内胶子的 T 奇横向动量依赖分布函数,基于特定假设构建模型,通过谱函数描述旁观者质量,经单胶子交换实现末态相互作用,推导解析表达式并给出数值结果。
AI 中文摘要
我们给出了张量极化氘核内胶子的 T 奇横向动量依赖分布函数(TMDs)的模型计算。该模型基于这样的假设:一个在壳氘核可以发射一个类时离壳胶子,剩余系统被视为单个在壳旁观者粒子。旁观者质量通过谱函数描述,使其能在连续范围内取实值。通过旁观者与出射部分子之间的单胶子交换实现产生非零 T 奇函数所需的末态相互作用。我们推导了六个 T 奇胶子 TMDs 的解析表达式,并给出了表征它们对纵向动量分数\(x\)和横向动量\(\bm{k}_T\)依赖性的数值结果。
英文摘要
We present a model calculation of the T-odd transverse momentum dependent distribution functions (TMDs) for gluons inside a tensor polarized deuteron. The model is built on the assumption that an on-shell deuteron can emit a time-like off-shell gluon, with the residual system treated as a single on-shell spectator particle. The spectator mass is described via a spectral function, which allows it to take real values over a continuous range. The final-state interaction required to generate nonvanishing T-odd functions are implemented via single-gluon exchange between the spectator and the outgoing parton. We derive analytical expressions for six T-odd gluon TMDs, and present numerical results characterizing their dependence on the longitudinal momentum fraction $x$ and the transverse momentum $\bm{k}_T$.
Comments24 pages, 3 figures