Kapitza Inspired Effective Interaction for the Exotic State X(3872): A Coupled-Channel Potential Model Study

M. Monemzadeh; N. Tazimi

Kapitza Inspired Effective Interaction for the Exotic State X(3872): A Coupled-Channel Potential Model Study

High Energy Physics - Phenomenology 2026-07-19 v1

Authors: M. Monemzadeh , N. Tazimi

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.

Keywords

X(3872) exotic hadrons coupled-channel potential model Kapitza tetraquark

Cite

@article{arxiv.2607.17402,
  title  = {Kapitza Inspired Effective Interaction for the Exotic State X(3872): A Coupled-Channel Potential Model Study},
  author = {M. Monemzadeh and N. Tazimi},
  journal= {arXiv preprint arXiv:2607.17402},
  year   = {2026}
}