arXivDaily arXiv每日学术速递 周一至周五更新
arXiv 2301.09536hep-ph
收藏

光前夸克-双夸克模型中的扭度-4 T-偶质子TMD

Twist-4 T-even proton TMDs in the light-front quark-diquark model

Shubham Sharma, Harleen Dahiya

备注：
Accepted in International Journal of Modern Physics A
发表信息：
Int. Jol. of Mod. Phys. A, Vol. 37, 2250205, (2022)
阅读 PDF
arXiv 页面 ↗HTML 原文 ↗

AI总结：

本文在光前夸克-双夸克模型中推导了质子扭度-4 T-偶TMD的解析表达式，计算其平均横向动量并与LFCQM结果比较，同时建立了与领头扭度TMD的模型关系。

摘要：

我们在光前夸克-双夸克模型（LFQDM）中处理了质子的扭度-4 T-偶横向动量依赖部分子分布（TMD）。通过解码半单举深度非弹性散射（SIDIS）的未积分夸克-夸克关联子，我们具体得到了非极化 $f_{3}^ν(x, {\bf p_\perp^2})$、纵向极化 $g_{3L}^ν(x, {\bf p_\perp^2}),~h_{3L}^{\perpν}(x, {\bf p_\perp^2})$ 以及横向极化 ${g}^{ν}_{3T}(x, {\bf p_\perp^2}),~{h}^{ν}_{3T}(x, {\bf p_\perp^2})$ 和 ${h}^{ν\perp}_{3T}(x, {\bf p_\perp^2})$ 质子TMD的重叠形式。我们给出了双夸克为标量或矢量两种情况的显式表达式。计算了这些TMD的平均横向动量和平均横向动量平方，并将结果与相应的领头扭度TMD一起列成表格。此外，将TMD ${f}^{ν}_3(x, {\bf p_\perp^2})$ 的平均横向动量和平均横向动量平方值与已有的光前组分夸克模型（LFCQM）结果进行了比较。从TMD出发，我们还得到并讨论了横向动量依赖部分子分布函数（TMDPDF）。还得到了扭度-4 T-偶TMD与已有的领头扭度T-偶TMD之间的模型关系。

英文摘要：

We have dealt with the twist-4 T-even transverse momentum-dependent parton distributions (TMDs) for the case of proton in the light-front quark-diquark model (LFQDM). By decoding the unintegrated quark-quark correlator for the semi-inclusive deep inelastic scattering (SIDIS), we have specifically obtained the overlap form for the unpolarized \bigg($f_{3}^ν(x, {\bf p_\perp^2})$\bigg), longitudinally polarized \bigg($ g_{3L}^ν(x, {\bf p_\perp^2}),~h_{3L}^{\perpν}(x, {\bf p_\perp^2})$\bigg) and transversely polarized \bigg( ${g}^{ν}_{3T}(x, {\bf p_\perp^2}),~{h}^{ν}_{3T}(x, {\bf p_\perp^2})$ and ${h}^{ν\perp}_{3T}(x, {\bf p_\perp^2})$\bigg) proton TMDs. We have provided the explicit expressions for both the cases of the diquark being a scalar or a vector. Average transverse momenta and the average square transverse momenta for the TMDs have been calculated and the results have been tabulated with corresponding leading twist TMDs. In addition, the value of average transverse momentum and average square transverse momentum for TMD ${f}^{ν}_3(x, {\bf p_\perp^2})$ has been compared with the available light-front constituent quark model (LFCQM) results. From TMDs, we have also obtained and discussed the transverse momentum-dependent parton distribution functions (TMDPDFs). The model relations of the twist-4 T-even TMDs with the available leading twist T-even TMDs have also been obtained.

机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。

↑