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Fluctuations and Odd-Even Effects in Small Superfluid Systems

✍ Scribed by R. Rossignoli; N. Canosa; P. Ring

Publisher
Elsevier Science
Year
1999
Tongue
English
Weight
330 KB
Volume
275
Category
Article
ISSN
0003-4916

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✦ Synopsis

Fluctuations and odd-even effects in small superfluid systems at finite temperature are investigated by means of the static path plus RPA approximation. A general derivation of this method is presented, which allows a straightforward implementation in statistical ensembles with fixed number parity (NP). A significant smoothing of the superconducting to normal transition is obtained in systems where the gap is comparable to the level spacing, as well as a decrease of pairing correlations in the odd case. Results are shown for a schematic model, where an excellent agreement with exact canonical results is obtained with the present method, and then for a heavy nucleus. Comparison with NP projected BCS and BCS+RPA results is made. An effective BCS+RPA approach which remains smooth in transitional regions is also derived.

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