Magnetic moments of light nuclei

doi:10.1016/0375-9474(77)90442-0

Nuclear Physics A

Volume 290, Issue 2, 31 October 1977, Pages 360-380

https://doi.org/10.1016/0375-9474(77)90442-0 Get rights and content

Abstract

Magnetic moments of the nuclei ¹⁵N, ¹⁵O, ¹⁷O, ¹⁷F and ¹⁹F are investigated. The importance ; of configuration mixing as well as meson-exchange currents is discussed in detail. Meson-exchange currents are treated in the one-boson exchange limit. Short-range N-N correlations are obtained from solutions of the Bethe-Goldstone equation for doubly closed shell nuclei by the use of realistic N-N potentials which ensure a correct treatment of tensor correlations.

References (25)

H.A. Mavromatis et al.
Nucl. Phys.
(1966)
H.A. Mavromatis et al.
Nucl. Phys.
(1967)
A. Arima et al.
Phys. Lett.
(1972)
A. Arima et al.
Phys. Lett.
(1972)
E.M. Nyman
Nucl. Phys.
(1967)
M. Ichimura et al.
Nucl. Phys.
(1965)
S. Wahlborn et al.
Nucl. Phys.
(1969)
M. Ichimura et al.
Nucl. Phys.
(1972)
H. Hyuga and A. Arima, Exchange current and effective g-factors, to be...
M. Chemtob
Nucl. Phys.
(1969)
M. Chemtob et al.
Nucl. Phys.
(1971)
M. Chemtob et al.
Nucl. Phys.
(1973)
M. Gari et al.
Z. Phys.
(1976)
D. Benaksas
Phys. Lett.
(1972)

M.R. Anastasio et al.

Nucl. Phys.

(1977)

A. Arima et al.

Prog. Theor. Phys.

(1954)

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^☆: Supported by Deutsche Forschungsgemeinschaft.

^††: Diplomarbeit.

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Magnetic moments of light nuclei☆

Abstract

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