[Submitted on 27 Aug 2020] (cross-list from hep-ph)
Triple-X and beyond: hadronic systems of three and more X(3872)
Lorenzo Contessi🇫🇷 · Johannes Kirscher🇬🇧 · Manuel Pavon Valderrama🇨🇳
The resonance has been conjectured to be a charm meson-antimeson two-body molecule. Meanwhile, there is no experimental evidence for larger, few-body compounds of multiple charm meson-antimeson pairs which would resemble larger molecules or nuclei. Here, we investigate such multi-meson states to the extent of what can be deduced theoretically from essentials of the interaction between uncharged and mesons. From a molecular , we predict a () octamer with a binding energy \mbox{,} assuming a system close to the unitary limit (as suggested by the mass of the ). If we consider heavy-quark spin symmetry explicitly, the () system is close to unitarity, too. In this case, we predict a bound () hexamer with and a more deeply bound octamer with . These results exemplify with hadronic molecules a more general phenomenon of equal-mass two-species Bose systems comprised of equal number of either type: the emergence of unbound four- and six-boson clusters in the limit of a short-range two-body interaction which acts only between bosons of different species. Finally, we also study the conditions under which a () tetramer might form.
- Comments:
- 7 pages, 3 figures, corresponds to the published version
- Subjects:
- High Energy Physics — Phenomenology (hep-ph); Nuclear Theory (nucl-th)
- arXiv:
- 2008.12268 [pdf]