Work

Lattice spectra of the D D K three-body system with Lorentz covariant kinematic

Year: 2024

Type: article

Abstract: The D D K system has gained increasing attention in recent research due to its potential to contain a three-hadron bound state. This paper utilizes an extension of the nonrelativistic effective field theory and the finite volume particle-dimer framework to derive Lorentz invariant quantization conditions for the D D K three-body system. Using current model input conditions, the finite volume energy spectrum of the D D K 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. Based on this framework, it is expected to reveal more detailed properties of the D D K system and other three-hadron systems, if various higher-order effects, such as the isospin I = 1 D K interactions and the coupled-channel effects are introduced. Published by the American Physical Society 2024

Source: Physical review. D/Physical review. D.

DOI: 10.1103/physrevd.110.094517

Authors: Qi-Chao Xiao, Jin-Yi Pang, Jia-Jun Wu

Institutions: University of Shanghai for Science and Technology, Chinese Academy of Sciences, University of Chinese Academy of Sciences

Language: English

Topic: Quantum Chromodynamics and Particle Interactions

Subfield: Nuclear and High Energy Physics

Field: Physics and Astronomy

Domain: Physical Sciences

Open Access status: hybrid

Funders: National Natural Science Foundation of China, Chinese Academy of Sciences, National Key Research and Development Program of China

Awards: G1874938747, G2505060883, G328816031, G6925452005, G8776819963