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arXiv · 2408.16590

Lattice spectra of $DDK$ three-body system with Lorentz covariant kinematic

Qi-Chao Xiao·Jin-Yi Pang·Jia-Jun Wu
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Abstract

The $DDK$ system has gain increasing attention in recent research due to its potential to contain a three-hadron bound state. This article utilizes an extension of the Non-Relativistic Effective Field Theory (NREFT) and the finite volume particle-dimer framework to derive Lorentz-invariant quantization conditions for the $DDK$ three-body system. Using current model input conditions, the finite volume energy spectrum of the $DDK$ three-body system was calculated. This new calculation incorporates relativistic kinematics, allowing it to be applicable across a broader energy range starting from the threshold. In this work, we present a comprehensive \( O(p^{2}) \) calculation. The spurious pole is effectively subtracted within the framework of relativistic kinematics. The spectra in the moving frame are also obtained. These analyses provide a broader testing ground for future lattice simulations. They are expected to reveal more detailed properties of the $DDK$ system and other three-hadron systems.

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Qi-Chao Xiao, Jin-Yi Pang, Jia-Jun Wu. 2024-08-29. Lattice spectra of $DDK$ three-body system with Lorentz covariant kinematic. https://arxiv.org/abs/2408.16590

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