Mathematical analysis of a simple model related to the stripping reaction

Elliott Lieb, Heinz Koppe

Research output: Contribution to journalArticlepeer-review

2 Scopus citations

Abstract

A scattering process in which an incoming bound particle can split up into its component parts when its total energy is above a threshold is of considerable interest physically (deuteron stripping, etc.) and mathematically (analytic properties of the S-matrix, etc.). For such complicated problems it is obviously convenient to have a simple, analytically soluble model for reference, but although many models have been suggested in the past none have proved analytically tractable. In this paper we propose and completely solve a one-dimensional model which, although it is not very physical, has all the desired characteristics. The problem is not mathematically trivial, however, and leads to a Wiener-Hopf integral equation.

Original languageEnglish (US)
Pages (from-to)367-371
Number of pages5
JournalPhysical Review
Volume116
Issue number2
DOIs
StatePublished - Dec 1 1959

All Science Journal Classification (ASJC) codes

  • Physics and Astronomy(all)

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