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A possibility of nuclear reaction near the three-body break-up threshold. (English) Zbl 1437.81182

Orr, N. A. (ed.) et al., Recent progress in few-body physics. Proceedings of the 22nd international conference on few-body problems in physics, FB22, Caen, France, July 9–13, 2018. Cham: Springer. Springer Proc. Phys. 238, 795-799 (2020).
Summary: 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\(_2\) which is well developed in a cuboctahedron \(\text{CsD}_2\text{Pd}_{12}\)-cluster, where CsD\(_2\) is surrounded by the \(\text{Pd}_{12}\)-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\(_{12}\)-cage. The boost up effect resolves a difficulty of the penetration problem. If the molecular level \(E_{\text{mol}}\) and the boosted up nuclear levels \(E_{\text{nucl}}(<E_{\text{mol}})\) 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,\(\gamma)\)La with proper selection rules, step by step.
For the entire collection see [Zbl 1432.81005].

MSC:

81V35 Nuclear physics
81V55 Molecular physics
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