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arXiv · 2605.01952

Twist-3 transverse momentum dependent gluon distributions in a spectator model

Xiupeng Xie·Zhun Lu
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Abstract

We study the twist-3 transverse momentum dependent distributions of gluons in a nucleon within a spectator model framework. In this model, the nucleon is described as emitting a virtual (time-like) gluon and an on-shell spectator particle, with the spectator mass treated continuously via a spectral function. The twist-3 gluon-gluon correlators, $\Phi^{+i;+-}$ and $\Phi^{ij;l+}$, are parameterized by a set of complex functions, whose real and imaginary parts correspond to T-even and T-odd components, respectively. We numerically check the equation of motion relation for these distributions and find that relation holds fairly well in the spectator model.

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Xiupeng Xie, Zhun Lu. 2026-05-03. Twist-3 transverse momentum dependent gluon distributions in a spectator model. https://arxiv.org/abs/2605.01952

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