High Energy Physics - Phenomenology
[Submitted on 13 Apr 2023 (v1), last revised 2 May 2023 (this version, v2)]
Title:Anisotropic flow and the valence quark skeleton of hadrons
View PDFAbstract:We study transverse momentum anisotropies, in particular, the elliptic flow $v_2$ due to the interference effect sourced by valence quarks in high-energy hadron-hadron collisions. Our main formula is derived as the high-energy (eikonal) limit of the impact-parameter dependent cross section in quantum field theory, which agrees with that in terms of the impact parameter in the classical picture. As a quantitative assessment of the interference effect, we calculate $v_2$ in the azimuthal distribution of gluons at a comprehensive coverage of the impact parameter and the transverse momentum in high-energy pion-pion collisions. In a broad range of the impact parameter, a sizable amount of $v_2$, comparable with that produced due to saturated dense gluons or final-state interactions, is found to develop. In our calculations, the valence sector of the pion wave function is obtained numerically from the Basis Light-Front Quantization, a non-perturbative light-front Hamiltonian approach. And our formalism is generic and can be applied to other small collision systems like proton-proton collisions.
Submission history
From: Meijian Li [view email][v1] Thu, 13 Apr 2023 14:07:06 UTC (7,166 KB)
[v2] Tue, 2 May 2023 13:35:36 UTC (7,242 KB)
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