Test of modified BCS model at finite temperature

Details Test of modified BCS model at finite temperature Test of modified BCS model at finite temperature

2005-08-24

arxiv.org/abs/nucl-th/0508047v1

Phys.Rev. C72 (2005) 034309

Physics

Nuclear Physics

Nuclear Theory

8 pages, 9 figures, to appear in PRC

Scientific paper

10.1103/PhysRevC.72.034309

A recently suggested modified BCS (MBCS) model has been studied at finite temperature. We show that this approach does not allow the existence of the normal (non-superfluid) phase at any finite temperature. Other MBCS predictions such as a negative pairing gap, pairing induced by heating in closed-shell nuclei, and ``superfluid -- super-superfluid'' phase transition are discussed also. The MBCS model is tested by comparing with exact solutions for the picket fence model. Here, severe violation of the internal symmetry of the problem is detected. The MBCS equations are found to be inconsistent. The limit of the MBCS applicability has been determined to be far below the ``superfluid -- normal'' phase transition of the conventional FT-BCS, where the model performs worse than the FT-BCS.

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