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Formation of an alpha-group in the shell-model of a heavy nucleus

Published online by Cambridge University Press:  24 October 2008

Charles Strachan
Charles Strachan
Affiliation:
Department of Natural PhilosophyMarischal CollegeAberdeen
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Abstract

By means of a variation principle applied to a nuclear wave function for four nucleons in the field of a closed core, equations are derived giving the relative proportions of a component describing an alpha-particle group and components describing the four nucleons in shell-model states with spin-orbit coupling wave functions, the two neutron states and the two proton states each paired to give zero resultant angular momentum. Numerical calculations, taking into account only 1h2/3 states for protons and the 2g3/2 states for neutrons, give the alpha-group wave function a relative weight (in the linear combination) of about 1%.

Type
Research Article
Information
Mathematical Proceedings of the Cambridge Philosophical Society , Volume 53 , Issue 2 , April 1957 , pp. 494 - 507
Copyright
Copyright © Cambridge Philosophical Society 1957

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References

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