Bound states on the lattice with partially twisted boundary conditions

Abstract

We propose a method to study the nature of exotic hadrons by determining the wave function renormalization constant $Z$ from lattice simulations. It is shown that, instead of studying the volume-dependence of the spectrum, one may investigate the dependence of the spectrum on the twisting angle, imposing twisted boundary conditions on the fermion fields on the lattice. In certain cases, e.g., the case of the $DK$ bound state which is addressed in detail, it is demonstrated that the partial twisting is equivalent to the full twisting up to exponentially small corrections.

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Cited by in corpus (12)

• Hadronic molecules
• Scattering processes and resonances from lattice QCD
• Spectrum of three-body bound states in a finite volume
• New insights into the $D_{s0}^{\ast }(2317)$ and other charm scalar mesons
• General considerations on the nature of $Z_b(10610)$ and $Z_b(10650)$ from their pole positions
• $D_{s0}^{\ast }(2317)$ and $DK$ scattering in $B$ decays from BaBar and LHCb data
• $Z_c(3900)$ as a $D{\bar{D}}^{\ast }$ molecule from the pole counting rule
• Resonance on top of thresholds: the ${\Lambda }_c(2595{)}^{+}$ as an extremely fine-tuned state
• Symmetries and boundary conditions with a twist
• Composite nature of $Z_b$ states from data analysis
• Reanalysis of lattice QCD spectra leading to the $D_{s0}^{\ast }(2317)$ and $D_{s1}^{\ast }(2460)$
• Compositeness of Hadrons and Near-Threshold Dynamics