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

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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]
Copyright of Zeitschrift für Angewandte Mathematik und Physik (ZAMP) is the property of Springer Nature and its content may not be copied or emailed to multiple sites without the copyright holder's express written permission. Additionally, content may not be used with any artificial intelligence tools or machine learning technologies. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract. (Copyright applies to all Abstracts.)
Database: Engineering Source
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DbLabel: Engineering Source
An: 194995856
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PubType: Academic Journal
PubTypeId: academicJournal
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  Data: On Fermi's model for the scattering of a slow neutron from a bound proton.
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  Data: <searchLink fieldCode="DE" term="%22Neutron-proton+interactions%22">Neutron-proton interactions</searchLink><br /><searchLink fieldCode="DE" term="%22Born+approximation%22">Born approximation</searchLink><br /><searchLink fieldCode="DE" term="%22Particles+%28Nuclear+physics%29%22">Particles (Nuclear physics)</searchLink><br /><searchLink fieldCode="DE" term="%22Mathematical+physics%22">Mathematical physics</searchLink><br /><searchLink fieldCode="DE" term="%22Scattering+%28Mathematics%29%22">Scattering (Mathematics)</searchLink><br /><searchLink fieldCode="DE" term="%22Hamiltonian+mechanics%22">Hamiltonian mechanics</searchLink><br /><searchLink fieldCode="DE" term="%22Neutron+scattering%22">Neutron scattering</searchLink><br /><searchLink fieldCode="DE" term="%22Dirac+function%22">Dirac function</searchLink>
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  Data: 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]
– Name: AbstractSuppliedCopyright
  Label:
  Group: Ab
  Data: <i>Copyright of Zeitschrift für Angewandte Mathematik und Physik (ZAMP) is the property of Springer Nature and its content may not be copied or emailed to multiple sites without the copyright holder's express written permission. Additionally, content may not be used with any artificial intelligence tools or machine learning technologies. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract.</i> (Copyright applies to all Abstracts.)
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        Value: 10.1007/s00033-026-02798-6
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      – Code: eng
        Text: English
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      – SubjectFull: Neutron-proton interactions
        Type: general
      – SubjectFull: Born approximation
        Type: general
      – SubjectFull: Particles (Nuclear physics)
        Type: general
      – SubjectFull: Mathematical physics
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      – SubjectFull: Scattering (Mathematics)
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      – SubjectFull: Hamiltonian mechanics
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      – SubjectFull: Neutron scattering
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      – SubjectFull: Dirac function
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      – TitleFull: On Fermi's model for the scattering of a slow neutron from a bound proton.
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              M: 06
              Text: Jun2026
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              Y: 2026
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