Induced Fission-Like Process of Hadronic Molecular States
Jun He1,2, Dian-Yong Chen2,3, Zhan-Wei Liu2,4, and Xiang Liu2,4*
1Department of Physics and Institute of Theoretical Physics, Nanjing Normal University, Nanjing 210097, China 2Lanzhou Center for Theoretical Physics, Lanzhou University, Lanzhou 730000, China 3School of Physics, Southeast University, Nanjing 210094, China 4School of Physical Science and Technology, Lanzhou University, Lanzhou 730000, China
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 $D\bar{D}$ final state which is forbidden due to the spin-parity conservation. The breeding of the $D$ meson of the reaction, such as $D^0X(3872)\to D^0\bar{D}^0D^0$, 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.
2022, Vol. 39 
