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A pion-quark pairing temperature is defined by a BCS-like relation identified from a quark-level Goldberger-Treiman relation with a Nambu scalar mass gap parameter taken in the low-mass limit. This intuitive relation predicts the associated experimental lattice-gauge pairing temperature. The opposite high-mass limit predicts the sigma mass, and notably has a predictive analog in high-Tc superconductivity in the stable nondispersive energy gap as defined by Thornber-Feynman polaron dynamics.
Relationship between the superconducting gap and the pseudogap has been the subject of controversies. In order to clarify this issue, we have studied the superconducting gap and pseudogap of the high-Tc superconductor La2-xSrxCuO4 (x=0.10, 0.14) by a
Recent excperiments (ARPES, Raman) suggest the presence of two distinct energy gaps in high-Tc superconductors (HTSC), exhibiting different doping dependences. Results of a variational cluster approach to the superconducting state of the two-dimensio
One of long-standing problems in mathematical studies of superconductivity is to show that the solution to the BCS gap equation is continuous in the temperature. In this paper we address this problem. We regard the BCS gap equation as a nonlinear int
In the preceding work cite{watanabe3}, it is shown that the solution to the BCS gap equation for superconductivity is continuous with respect to both the temperature and the energy under the restriction that the temperature is very small. Without thi
From the viewpoint of operator theory, we deal with the temperature dependence of the solution to the BCS gap equation for superconductivity. When the potential is a positive constant, the BCS gap equation reduces to the simple gap equation. We first