Explicit coupled-channel dynamics modifies pole structures and can eliminate or shift higher-lying states in doubly heavy systems, while single-channel models suffice only for near-threshold states like T_cc.
Finite-volume Hamiltonian method for coupled channel interactions in lattice QCD
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abstract
Within a multi-channel formulation of $\pi\pi$ scattering, we investigate the use of the finite-volume Hamiltonian approach to resolve scattering observables from lattice QCD spectra. The asymptotic matching of the well-known L\"uscher formalism encodes a unique finite-volume spectrum. Nevertheless, in many practical situations, such as coupled-channel systems, it is advantageous to interpolate isolated lattice spectra in order to extract physical scattering parameters. Here we study the use of the Hamiltonian framework as a parameterisation that can be fit directly to lattice spectra. We find that with a modest amount of lattice data, the scattering parameters can be reproduced rather well, with only a minor degree of model dependence.
years
2026 2representative citing papers
At m_pi ≈ 292 MeV, lattice QCD finds virtual-state poles, not bound states, in both the 3S1 and 1S0 nucleon-nucleon channels.
citing papers explorer
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Systematic Study of Coupled-Channel Dynamics in Doubly Heavy Hadronic Molecules
Explicit coupled-channel dynamics modifies pole structures and can eliminate or shift higher-lying states in doubly heavy systems, while single-channel models suffice only for near-threshold states like T_cc.
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Two-nucleon systems at $m_{\pi}\approx292$ MeV from lattice QCD
At m_pi ≈ 292 MeV, lattice QCD finds virtual-state poles, not bound states, in both the 3S1 and 1S0 nucleon-nucleon channels.