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arXiv · 2408.11427

Role of momentum in the generator-coordinate method applied to barrier penetration

K. Hagino·G. F. Bertsch
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Abstract

Nuclear fission at barrier-top energies is conventionally modeled by a one-dimensional Schr\"odinger equation applied to internal fission channels, but that treatment is hard to justify in the configuration-interaction approach to nuclear Hamiltonians. Here we show that inclusion of states of finite momentum by the Generator Coordinate Method (GCM) considerably extends the range of energies at which GCM-based Hamiltonians could reproduce the Schr\"odinger treatment. The transmission probabilities for crossing the barrier are calculated by a discrete version of Kohn's variational method, which may also be useful for other systems of interacting fermions.

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K. Hagino, G. F. Bertsch. 2024-08-21. Role of momentum in the generator-coordinate method applied to barrier penetration. https://arxiv.org/abs/2408.11427

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