arXiv · 2607.17402
Kapitza Inspired Effective Interaction for the Exotic State X(3872): A Coupled-Channel Potential Model Study
Abstract
The X(3872) remains one of the most intriguing exotic hadrons, lying extremely close to the $D^0\bar{D}^{*0}$ threshold. We construct an effective potential consisting of Coulomb, linear confinement and a Kapitza-inspired term representing the averaged effect of fast gluonic fluctuations. Numerical solution of the Schr\"odinger equation shows that this term provides effective attraction in the intermediate-distance region, yielding a ground-state mass of $3871.7 \pm 0.9$ MeV in excellent agreement with experiment. Coupled-channel analysis indicates a dominant molecular component ($\sim 65\%-72\%$) with a significant compact tetraquark core ($\sim 28\%-35\%$). We also present predictions for low-lying excited states. The model offers a physically motivated mechanism for threshold tuning.
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M. Monemzadeh, N. Tazimi. 2026-07-19. Kapitza Inspired Effective Interaction for the Exotic State X(3872): A Coupled-Channel Potential Model Study. https://arxiv.org/abs/2607.17402
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