A Possibility of Nuclear Reaction Near the Three-Body Break-Up Threshold

Abstract

We investigate a possibility of nuclear reaction near the three-body break-up threshold (3BT) by a viewpoint of the three-body Hamiltonian. We study a virtual molecule: CsD(formula presented) which is well developed in a cuboctahedron CsD(formula presented)Pd(formula presented)-cluster, where CsD(formula presented) is surrounded by the Pd(formula presented)-cage. We found that the energy levels, which are obtained without the Coulomb repulsive potential, could be boosted up by the repulsive Coulomb correction, however the Coulomb excited resonant-level does not decay by the barrier of Pd(formula presented)-cage. The boost up effect resolves a difficulty of the penetration problem. If the molecular level (formula presented) and the boosted up nuclear levels (formula presented) can not close each other at the top of the Coulomb barrier or the 3BT, then their wave functions do not overlap, and the electromagnetic multipole (EMM) moment becomes zero. Thereby, the molecular level is stable without such an EMM-transition. However, if both of the molecular state and the excited nuclear state approach each other by a long range hadron potential, then the molecular state transfers to the nuclear La states by the EMM-transition: Cs(2d,(formula presented))La with proper selection rules, step by step.