Elsevier

Nuclear Physics A

Volume 101, Issue 2, 8 September 1967, Pages 369-407
Nuclear Physics A

Nuclear-spectroscopy calculations including continuum states and application to the giant resonance of 16O

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Abstract

A simple generalization of nuclear-spectroscopy calculations to include continuum states leads to coupled integral equations. The same problem may be treated in nuclear reaction theory by solving coupled differential equations wherein the residual interaction range and total nucleon antisymmetrization introduce integral terms. We have applied both of these approaches to the giant resonance of 16O including only five channels in order to study by what methods and in what limits the coupled integral equations of the first formulation may be utilized. We show that the first method may be used in problems for which the number of channels is not too large; it allows analysis of the effects of quasi-bound, two-particle-two-hole states or more complex ones which should explain the fine structure of the giant resonance.

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    ††

    Work partially supported by the National Science Foundation.

    Present address: University of Florida, Gainesville.

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