Elsevier

Nuclear Physics A

Volume 407, Issues 1–2, 3–10 October 1983, Pages 77-97
Nuclear Physics A

Electromagnetic transitions and radiative capture in the generator-coordinate method

https://doi.org/10.1016/0375-9474(83)90309-3Get rights and content

Abstract

A microscopic study of the electromagnetic properties of nuclei and of radiative capture reactions is presented in the framework of the generator-coordinate method. Fully antisymmetrized wave functions, with a correct asymptotic behaviour, are used to calculate matrix elements of the multipole operators in the long-wavelength approximation. Centre-of-mass corrections are shown to vanish exactly in this approximation. Approximate forms are derived when antisymmetrization is negligible. The E2, E3 and M2 transitions in 20Ne and the 16(α, γ)20Ne radiative capture reaction are treated as illustrative examples.

References (27)

  • P.-H. Heenen

    Nucl. Phys.

    (1976)
  • D. Baye et al.

    Nucl. Phys.

    (1977)
  • R.D. Lawson

    Theory of the nuclear shell model

  • D. Baye et al.

    Bull. Cl. Sc. Acad. Roy. Belg.

    (1981)
  • M. Abramowitz et al.H. Buchholz

    The confluent hypergeometric function

  • C. van der Leun et al.

    Phys. Lett.

    (1965)
  • K. Wildermuth et al.

    A unified theory of the nucleus

    (1977)
  • H. Horiuchi

    Suppl. Progr. Theor. Phys.

    (1977)
  • R.E. Brown
  • D. Baye
  • Q.K.K. Liu et al.

    Phys. Rev.

    (1981)
  • H. Kräwinkel et al.

    Z. Phys.

    (1982)
  • T. Matsuse et al.

    Progr. Theor. Phys.

    (1975)
  • Cited by (86)

    • The R-matrix theory

      2010, Reports on Progress in Physics
    • Resonances in the R-Matrix Method

      2024, Few-Body Systems
    View all citing articles on Scopus

    Aspirant FNRS.

    View full text