Role of momentum in the generator-coordinate method applied to barrier penetration
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arXiv
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| Format: | Preprint |
| Published: |
2024
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| _version_ | 1866917831129432064 |
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| author | Hagino, K. Bertsch, G. F. |
| author_facet | Hagino, K. Bertsch, G. F. |
| contents | Nuclear fission at barrier-top energies is conventionally modeled by a one-dimensional Schrödinger 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 Schrödinger 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2408_11427 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Role of momentum in the generator-coordinate method applied to barrier penetration Hagino, K. Bertsch, G. F. Nuclear Theory Atomic Physics Chemical Physics Quantum Physics Nuclear fission at barrier-top energies is conventionally modeled by a one-dimensional Schrödinger 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 Schrödinger 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. |
| title | Role of momentum in the generator-coordinate method applied to barrier penetration |
| topic | Nuclear Theory Atomic Physics Chemical Physics Quantum Physics |
| url | https://arxiv.org/abs/2408.11427 |