Work

Likely existence of bound states and the Efimov effect in the triple- J / ψ system

Year: 2024

Type: article

Abstract: The ground-breaking discovery of the first fully charmed tetraquark state X ( 6900 ) in the J / ψ J / ψ invariant mass distribution by the LHCb collaboration has inspired intensive theoretical studies. Various interpretations, such as molecular states, compact tetraquark states, and coupled-channel effects, have been proposed for these states. Of particular interest is the ongoing search for the triple- J / ψ state–a fully-charmed hexaquark state. To deepen our understanding of the triple- J / ψ state and to guide future experimental searches, we study the triple- J / ψ system in this work employing the Gaussian expansion method and the J / ψ J / ψ potential parametrized to yield a shallow bound state, as suggested in several theoretical works. Our results support a triple- J / ψ bound state, even in cases where the attractive interaction between the two J / ψ mesons is very weak. Moreover, our analysis implies the Efimov effect in the triple- J / ψ system. In addition, we extend our investigation to the triple- ϒ ( 1 S ) system and obtain results similar to those for the triple- J / ψ system. Published by the American Physical Society 2024

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

DOI: 10.1103/physrevd.110.094004

Authors: Ya-Wen Pan, Zhi-Wei Liu, Li-Sheng Geng, Atsushi Hosaka, Xiang Liu