The bound state of dark atom with the nucleus of substance

• URL: http://arxiv.org/abs/2512.08718v1
• Date: Tue, 09 Dec 2025 15:35:09 GMT
• Title: The bound state of dark atom with the nucleus of substance
• Authors: T. E. Bikbaev, M. Yu. Khlopov, A. G. Mayorov,
• Abstract summary: Composite $XHe$ dark atoms offer a compelling framework to address the challenges in direct dark matter particles detection.<n>A critical issue may arise in interaction between $XHe$ and atomic nuclei due to the unshielded nuclear attraction.<n>We propose a novel numerical quantum mechanical approach that accounts for self-consistent electromagnetic-nuclear couplings.
• Score: 0.0
• License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
• Abstract: The hypothesis of composite $XHe$ dark atoms offers a compelling framework to address the challenges in direct dark matter particles detection, as their neutral, atom-like configuration evades conventional experimental signatures. A critical issue may arise in interaction between $XHe$ and atomic nuclei due to the unshielded nuclear attraction, which could destabilize the dark atom's bound state. To resolve this, we propose a novel numerical quantum mechanical approach that accounts for self-consistent electromagnetic-nuclear couplings. This method addresses to eliminate the inherent complexity of the $XHe$-nucleus three-body system, where analytical solutions are intractable. By reconstructing the effective interaction potential - including dipole Coulomb barrier and shallow potential well - we demonstrate how these features lead to the formation of $XHe$-nucleus bound states and modulate low-energy capture processes. Our model enables validation of the dark atom hypothesis, particularly in interpreting experimental anomalies like annual modulation signals observed in DAMA/LIBRA. These findings advance the theoretical foundation for dark matter interactions and provide a robust framework for future experimental design.

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