Short-range production of three bottom mesons

Abstract

Previous investigations of the three-body dynamics of $B$ mesons have shown that no Efimov effect arises in systems composed of three $B$ and $B^{\ast }$ mesons. This implies that the properties of such three-body systems can be described reliably within nonrelativistic effective field theory (NREFT) with short-range interactions using only two-body input, as three-body forces are strongly suppressed. In this work, we present leading-order predictions for the three-body point production rates of systems consisting of three $B$ and $B^{\ast }$ mesons. These predictions provide a novel way to experimentally probe the $B^{(\ast )}$-${\bar{B}}^{(\ast )}$ interactions, which play a crucial role in the hadronic-molecule interpretation of the $T_{b\bar{b}1}(10610)$ and $T_{b\bar{b}1}(10650)$ states. Moreover, they provide a way to test the approximate conformal symmetry predicted for such systems at low energies experimentally.

Comments: 26 pages, 11 figures; updated to the published version