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Cooper pair sizes in superfluid nuclei in a simplified model

X. Viñas, P. Schuck, N. Pillet

DOI 10.1103/PhysRevC.82.034314 · Physical Review C

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Abstract

Cooper pair sizes are evaluated in a simple harmonic oscillator model reproducing the values of sophisticated Hartree-Fock-Bogoliubov calculations. Underlying reasons for the very small sizes of 2.0–2.5 fm of Cooper pairs in the surface of nuclei are analyzed. It is shown that the confining properties of the nuclear volume is the dominating effect. It is argued that for Cooper pair sizes the local-density approximation idea is particularly inadapted.

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