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arXiv · 2603.09372

On Fermi's model for the scattering of a slow neutron from a bound proton

Domenico Finco·Raffaele Scandone·Alessandro Teta
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Abstract

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 $\delta$-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.

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Domenico Finco, Raffaele Scandone, Alessandro Teta. 2026-03-10. On Fermi's model for the scattering of a slow neutron from a bound proton. https://arxiv.org/abs/2603.09372

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