Test of a modified BCS theory performance in the Picket Fence Model

Abstract

Analyses of a modified BCS (MBCS) theory performance at finite temperatures in the Picket Fence Model (PFM) for light and heavy systems is presented. Both symmetric, $\Omega =N$ ($N$ particles on $\Omega$ twice-degenerate levels), and asymmetric, $\Omega \ne N$, versions of the PFM are considered. The quantities known exactly from particle-hole symmetry of the $\Omega =N$ PFM are calculated. Starting from very low temperatures, these quantities are found in dramatic deviation from the exact values in MBCS results. Consequences of the MBCS prediction that heating generates a thermal constituent of the pairing gap, are discussed. Thermodynamical inconsistency of the MBCS is also addressed.

References in corpus (6)

• Temperature-induced pair correlations in clusters and nuclei
• Re-appearance of the pairing correlations at finite temperature
• Pair Fluctuations in Ultra-small Fermi Systems within Self-Consistent RPA at Finite Temperature
• Test of modified BCS model at finite temperature
• On the test of the modified BCS at finite temperature
• Reply to comment ``On the test of the modified BCS at finite temperature''