On Fermi's model for the scattering of a slow neutron from a bound proton
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arXiv
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| Autori principali: | , , |
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| Natura: | Preprint |
| Pubblicazione: |
2026
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| _version_ | 1866912958528880640 |
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| author | Finco, Domenico Scandone, Raffaele Teta, Alessandro |
| author_facet | Finco, Domenico Scandone, Raffaele Teta, Alessandro |
| contents | We consider a model Hamiltonian, introduced by Fermi in 1936, describing a two-particle system made of a neutron and a harmonically bound proton, where the neutron-proton interaction has the form of a $δ$-potential. For such Hamiltonian we prove the Limiting Absorption Principle and describe the stationary scattering theory. Finally, we derive Fermi's formula for the scattering cross-section valid in the Born approximation. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2603_09372 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | On Fermi's model for the scattering of a slow neutron from a bound proton Finco, Domenico Scandone, Raffaele Teta, Alessandro Mathematical Physics 35Q40, 81Q10, 81Q15 We consider a model Hamiltonian, introduced by Fermi in 1936, describing a two-particle system made of a neutron and a harmonically bound proton, where the neutron-proton interaction has the form of a $δ$-potential. For such Hamiltonian we prove the Limiting Absorption Principle and describe the stationary scattering theory. Finally, we derive Fermi's formula for the scattering cross-section valid in the Born approximation. |
| title | On Fermi's model for the scattering of a slow neutron from a bound proton |
| topic | Mathematical Physics 35Q40, 81Q10, 81Q15 |
| url | https://arxiv.org/abs/2603.09372 |