Cooper pair sizes in superfluid nuclei in a simplified model
X.Vinas, P.Schuck, N.Pillet
TL;DR
This paper investigates the sizes of Cooper pairs in superfluid nuclei using a simplified harmonic oscillator model, revealing the dominant role of nuclear confinement and critiquing the local density approximation.
Contribution
It introduces a simplified model that reproduces complex HFB results and analyzes the physical reasons behind small Cooper pair sizes in nuclei.
Findings
Cooper pair sizes are about 2.0-2.5 fm in nuclei surface
Nuclear volume confinement is the main factor influencing pair sizes
LDA is inadequate for describing Cooper pair sizes in nuclei
Abstract
Cooper pair sizes are evaluated in a simple harmonic oscillator model reproducing the values of sophisticated HFB calculations. Underlying reasons for the very small sizes of 2.0-2.5 fm of Cooper pairs in the surface of nuclei are analysed. It is shown that the confining properties of the nuclear volume is the dominating effect. It is argued that for Cooper pair sizes LDA is particularly inadapted.
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