Elsevier

Nuclear Physics A

Volume 384, Issue 3, 23 August 1982, Pages 371-385
Nuclear Physics A

Spin-isospin sum rules based on the quark model

https://doi.org/10.1016/0375-9474(82)90341-4Get rights and content

Abstract

The response of nuclei to zero momentum transfer spin-isospin operators like the magnetic dipole and the Gamow-Teller operator are considered. On the basis of a non-relativistic quark model hamiltonian we derive energy-weighted sum rules for these operators. Ground-state correlations in the nucleus are treated in the random-phase approximation with a schematic baryon-baryon interaction. It is found that within reasonable limits of the coupling strength the sum rules are stable and thus can be termed model independent.

References (10)

  • S. Stringari

    Nucl Phys.

    (1978)
    G. Orlandini
  • D.H. Wilkinson

    Nucl. Phys.

    (1973)
    M. Ericson et al.

    Phys. Lett.

    (1973)
    J. Delorme et al.

    Ann. of Phys.

    (1976)
    E. Oset et al.

    Phys. Rev. Lett.

    (1979)
    I.S. Towner et al.

    Phys. Rev. Lett.

    (1979)
    W. Knüpfer et al.

    Phys. Lett.

    (1980)
    A. Bohr et al.

    Phys. Lett.

    (1981)
  • A. Bohr et al.
  • M.R. Anastasio et al.

    Nucl. Phys.

    (1977)
    G.E. Brown et al.

    Phys. Rev. Lett.

    (1981)
  • A.L. Fetter et al.

    Quantum theory of many-particle systems

    (1971)
There are more references available in the full text version of this article.

Cited by (7)

  • Deformed bags of quarks and spin-isospin properties of nuclei

    1988, Progress in Particle and Nuclear Physics
  • Sum Rules in the Quark Model

    1988, Annalen der Physik
  • Gamow-Teller strengths in nuclei with deformed bags of quarks

    1987, Journal of Physics G: Nuclear Physics
View all citing articles on Scopus

Work supported in part by US DOE Contract DE-AC02-76ER13001.

Supported by Heinrich-Hertz-Stiftung.

∗∗

Supported by Deutsche Forschungsgemeinschaft.

View full text