Abstract
In nuclear physics, triton and helium-3 nucleus can be understood as three-body hadronic molecules. Analogous to the loosely bound structures for the triton and helium-3 nucleus, whether there is a bound state formed by three hadrons leaves us an open issue. Based on the one-boson exchange model as well as the adoption of the variational approach, we make a comprehensive investigation on the tritonlike systems of three identical baryons N N N , Λ Λ Λ , Ξ Ξ Ξ , and Σ Σ Σ . We predict that the three-body molecular states for the systems of three identical hadrons of baryon octet are probably existent as long as their two-body subsystems have bound states. The numerical results of this work may be helpful for the theoretical and experimental researches on the trihadron molecules in future.
Highlights
Numerous exotic states called “XYZ” reported in the last few decades pose great challenges to the traditional quark model [1,2,3,4,5,6,7,8,9,10,11]
One may believe that it describe the dynamics of triton well
We have constructed the formalism of the BOP method for a general system consists of the three identical fermions with half spin
Summary
Numerous exotic states called “XYZ” reported in the last few decades pose great challenges to the traditional quark model [1,2,3,4,5,6,7,8,9,10,11]. The scenario of dihadron molecule was first motivated by the deuteron, in which a proton and a neutron form a loosely bound state by colorless strong interactions. The existence of triton leaves us an interesting question that whether an identical three-body system composed of the other members in the octet of the 1/2+ baryon has a bound state. In the present work we shall perform investigations on the three-body systems composed of the identical hadrons from the octet of the 1/2+ baryon.
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