Induced Fission-Like Process of Hadronic Molecular States

Abstract

We predict a new physical phenomenon, induced fission-like process and chain reaction of hadronic molecular states. As a molecular state, if induced by a D meson, the X(3872) can split into D D ¯ final state which is forbidden due to the spin-parity conservation. The breeding of the D meson of the reaction, such as D 0 X ( 3872 ) → D 0 D ¯ 0 D 0 , makes the chain reaction of X(3872) matter possible. We estimate the cross section of the D meson induced fission-like process of X(3872) into two D mesons. With very small D 0 beam momentum of 1 eV, the total cross section reaches an order of 1000 b, and decreases rapidly with the increasing beam momentum. With the transition of D* meson in molecular states to a D meson, the X(3872) can release large energy, which is acquired by the final mesons. The momentum distributions of the final D mesons are analyzed. In the laboratory frame, the spectator D meson in molecular state concentrates in the low momentum area. The energy from the transition from D* to D meson is mainly acquired by two scattered D mesons. The results suggest that the D meson environment will lead to the induced fission-like process and chain reaction of the X(3827). Such a phenomenon can be extended to other hadronic molecular states.