Abstract
In recent years, the existence of a hadronically stable tetraquark with quantum numbers was confirmed by first principles lattice QCD computations. In this work we use lattice QCD to compare two frequently discussed competing structures for this tetraquark by considering meson-meson as well as diquark-antidiquark creation operators. We use the static-light approximation, where the two quarks are assumed to be infinitely heavy with frozen positions, while the light and quarks are fully relativistic. By minimizing effective energies and by solving generalized eigenvalue problems we determine the importance of the meson-meson and the diquark-antidiquark creation operators with respect to the ground state. It turns out, that the diquark-antidiquark structure dominates for separations , whereas it becomes increasingly more irrelevant for larger separations, where the tetraquark is mostly a meson-meson state. We also estimate the meson-meson to diquark-antidiquark ratio of this tetraquark and find around .
1 More- Received 11 January 2021
- Accepted 19 May 2021
DOI:https://doi.org/10.1103/PhysRevD.103.114506
Published by the American Physical Society under the terms of the Creative Commons Attribution 4.0 International license. Further distribution of this work must maintain attribution to the author(s) and the published article’s title, journal citation, and DOI. Funded by SCOAP3.
Published by the American Physical Society