An analysis of diffraction formulae

Research output: Contribution to journalArticlepeer-review


In this paper various diffraction formulae deseribing elastie scattering of spinless uncharged particles are analysed. Expressions for the l-dependence of the S-matrix elements of boundary condition models are derived and compared with direct S-matrix models. Some incompatibility between the two different approaches, which are supposed to describe the same phenomenon, are found. In the derivation of Kirchhoff's diffraction formula there exists an incompatibility of the boundary conditions. Namely, for its derivation one should know both the values of the wave function and the normal component of the gradient of the wave function on the absorbing sphere. The solutions to bo both boundary problems are separately presented. The reflection from the absorbing sphere is treated and new formulae are derived. The differential and total cross-sections of the described models are analysed.

Original languageEnglish
Pages (from-to)494-520
Number of pages27
JournalLa Rivista del Nuovo Cimento
Issue number3
StatePublished - 1 Oct 1974

ASJC Scopus subject areas

  • Atomic and Molecular Physics, and Optics
  • Nuclear and High Energy Physics
  • Astronomy and Astrophysics


Dive into the research topics of 'An analysis of diffraction formulae'. Together they form a unique fingerprint.

Cite this