Abstract
During the last decades, numerous exotic states which cannot be explained by the conventional quark model have been observed in experiment. Some of them can be understood as two-body hadronic molecules, such as the famous $X(3872)$, analogous to deuteron in nuclear physics. Along the same line, the existence of the triton leaves an open question whether there is a bound state formed by three hadrons. Since, for a given potential, a system with large reduced masses is more easier to form a bound state, we study the $BBB^{\ast}$ system with the one-pion exchange potential as an exploratory step by solving the three-body Schr\"odinger Equation. We predict that a tri-meson molecular state for the $BBB^{\ast}$ system is probably existent as long as the molecular states of its two-body subsystem $BB^*$ exist.
Highlights
In the past few decades, numerous exotic states named “XYZ” as well as charm-strange mesons beyond the conventional quark model have been reported by many experimental collaborations
For a given potential, a system with large reduced masses is easier to use to form a bound state, we study the BBBÃ system with the one-pion exchange potential as an exploratory step by solving the threebody Schrödinger equation
We have studied the role of the delocalized π bond in forming the three-body bound state for the double heavy trimeson systems, i.e., DDÃK, DD ÃK, BBÃK, and BB ÃK [65], based on the sufficient information of it subtwo-body system and the Born-Oppenheimer approximation (BOA), which works well for a system with several heavy and light particles [66]
Summary
In the past few decades, numerous exotic states named “XYZ” as well as charm-strange mesons beyond the conventional quark model have been reported by many experimental collaborations. Some of them can be understood in the hadronic molecular picture [12], which is an analog of the deuteron as a loosely bound state of a proton and a neutron In their formation, the one-pion exchange potential (OPEP) plays an important role, e.g., in the formation of deuteron and the Xð3872Þ [17,18], due to its long-range property. The OPEP plays an important role in binding the two-hadron system From another point of view, one can view it as a pion shared by the two constituents and form a bound state. We have studied the role of the delocalized π bond in forming the three-body bound state for the double heavy trimeson systems, i.e., DDÃK, DD ÃK, BBÃK , and BB ÃK [65], based on the sufficient information of it subtwo-body system and the Born-Oppenheimer approximation (BOA), which works well for a system with several heavy and light particles [66].
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