The Nucleon Spectral Function at Finite Temperature and the Onset of Superfluidity in Nuclear Matter

Details The Nucleon Spectral Function at Finite Temperature and the Onset of Superfluidity in Nuclear Matter The Nucleon Spectral Function at Finite Temperature and the Onset of Superfluidity in Nuclear Matter

1995-11-30

arxiv.org/abs/nucl-th/9511039v1

Phys.Rev.C53:2181-2193,1996

Physics

Nuclear Physics

Nuclear Theory

LaTex, 23 pages, 21 PostScript figures included (uuencoded), uses prc.sty, aps.sty, revtex.sty, psfig.sty (last included)

Scientific paper

10.1103/PhysRevC.53.2181

Nucleon selfenergies and spectral functions are calculated at the saturation density of symmetric nuclear matter at finite temperatures. In particular, the behaviour of these quantities at temperatures above and close to the critical temperature for the superfluid phase transition in nuclear matter is discussed. It is shown how the singularity in the thermodynamic T-matrix at the critical temperature for superfluidity (Thouless criterion) reflects in the selfenergy and correspondingly in the spectral function. The real part of the on-shell selfenergy (optical potential) shows an anomalous behaviour for momenta near the Fermi momentum and temperatures close to the critical temperature related to the pairing singularity in the imaginary part. For comparison the selfenergy derived from the K-matrix of Brueckner theory is also calculated. It is found, that there is no pairing singularity in the imaginary part of the selfenergy in this case, which is due to the neglect of hole-hole scattering in the K-matrix. From the selfenergy the spectral function and the occupation numbers for finite temperatures are calculated.

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