Discussion of a new technique for solving the Bethe-Goldstone equation

Bruce R Barrett, R. G L Hewitt, R. J. McCarthy

Research output: Contribution to journalArticle

17 Citations (Scopus)

Abstract

The new method of Truelove and Nicholls for obtaining reaction matrix elements for nuclear-structure calculations is discussed. In this method, the Bethe-Goldstone wave function is expanded in terms of eigenfunctions of two interacting nucleons bound in a common potential well. The Bethe-Goldstone equation, which is written in terms of an expansion over noninteracting two-particle states, is then solved iteratively. In practice, the method is most easily applied when a harmonic-oscillator basis is used; the Pauli operator Q can then be treated exactly. The convergence of the Truelove-Nicholls iteration scheme and of the above two expansions is investigated. It is shown that the original method is incorrect for nucleon-nucleon potentials with an infinite hard core. A simple way of correcting the method is presented.

Original languageEnglish (US)
Pages (from-to)1199-1204
Number of pages6
JournalPhysical Review C - Nuclear Physics
Volume2
Issue number4
DOIs
StatePublished - 1970

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nucleon potential
expansion
nuclear structure
nucleons
harmonic oscillators
iteration
eigenvectors
wave functions
operators
matrices

ASJC Scopus subject areas

  • Physics and Astronomy(all)
  • Nuclear and High Energy Physics

Cite this

Discussion of a new technique for solving the Bethe-Goldstone equation. / Barrett, Bruce R; Hewitt, R. G L; McCarthy, R. J.

In: Physical Review C - Nuclear Physics, Vol. 2, No. 4, 1970, p. 1199-1204.

Research output: Contribution to journalArticle

Barrett, Bruce R ; Hewitt, R. G L ; McCarthy, R. J. / Discussion of a new technique for solving the Bethe-Goldstone equation. In: Physical Review C - Nuclear Physics. 1970 ; Vol. 2, No. 4. pp. 1199-1204.
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