Bibliographic Details
| Title: |
On Fermi's model for the scattering of a slow neutron from a bound proton. |
| Authors: |
Finco, Domenico1 (AUTHOR) domenico.finco@uninettunouniversity.net, Scandone, Raffaele2 (AUTHOR) raffaele.scandone@unina.it, Teta, Alessandro3 (AUTHOR) teta@mat.uniroma1.it |
| Source: |
Zeitschrift für Angewandte Mathematik und Physik (ZAMP). Jun2026, Vol. 77 Issue 6, p1-19. 19p. |
| Subjects: |
Neutron-proton interactions, Born approximation, Particles (Nuclear physics), Mathematical physics, Scattering (Mathematics), Hamiltonian mechanics, Neutron scattering, Dirac function |
| 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 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. [ABSTRACT FROM AUTHOR] |
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| Database: |
Engineering Source |
