The notion of pairing plays a central role in the BCS theory of superconductivity. In 1963, R.W. Richardson showed that exact energy eigenvalues and eigenstates of the BCS pairing Hamiltonian can be computed if one can solve a given set of highly coupled nonlinear equations. The limit of these equations in which the BCS coupling constant is very large were also obtained by Gaudin in 1976. Gaudi...

A profound problem in modern condensed matter physics is discovering and understanding the nature of fluctuations and their coupling to fermions in cuprates, which lead to high-temperature superconductivity and the invariably associated strange metal state. We report the quantitative determination of normal and pairing self-energies, made possible by laser-based angle-resolved photoemission mea...

The dependence on the single-particle states of the pairing matrix elements of the Gogny force and of the bare low-momentum nucleonnucleon potential vlow−k designed so as to reproduce the low-energy observables avoiding the use of a repulsive core is studied in the semiclassical approximation for the case of a typical finite, superfluid nucleus (120Sn). It is found that the matrix elements of v...

To discuss the possibility that the superconductivities in NaxCoO2·yH2O are induced by electron correlation, we investigate the possible pairing symmetry based on the single-band Hubbard model whose dispersion of the bare energy band is obtained using the band structure calculation of NaxCoO2·yH2O. The superconducting transition temperature is estimated by solving the Éliashberg equation. In th...

To discuss the possibility that the superconductivities in NaxCoO2·yH2O are induced by electron correlation, we investigate the possible pairing symmetry based on the single-band Hubbard model whose dispersion of the bare energy band is obtained using the band structure calculation of NaxCoO2·yH2O. The superconducting transition temperature is estimated by solving the Éliashberg equation. In th...

MOTIVATION It is well accepted that the 3' end of 16S rRNA is directly involved in prokaryotic translation initiation by pairing with the Shine-Dalgarno (SD) sequence, which is located in the ribosome-binding site of mRNA. According to Shine and Dalgarno, Escherichia coli 's 5' UTR has the pattern of 'AGGAGG' (SD sequence), which is complementary to the 3' end sequence of 16S rRNA. In this work...

The pairing properties of nuclear systems are a sensitive probe of the effective nucleon-nucleon interactions. We compare the 1 S 0 pairing gaps in nuclear and neutron matter derived from the phenomenological Gogny interaction and a renormal-ization group motivated low-momentum V low k interaction extracted from realistic interactions. We find that the pairing gaps predicted by these interactio...

The explicit energy dependence of the single particle self-energy (dispersive effects), due to short range correlations, is included in the treatment of neutron matter superfluidity. The method can be applied in general to strong interacting fermion systems, and it is expected to be valid whenever the pairing gap is substantially smaller than the Fermi kinetic energy. The results for neutron ma...

The pairing properties of nuclear systems are a sensitive probe of the effective nucleon-nucleon interactions. We compare the 1 S 0 pairing gaps in nuclear and neutron matter derived from the phenomenological Gogny interaction and a renormal-ization group motivated low-momentum V low k interaction extracted from realistic interactions. We find that the pairing gaps predicted by these interactio...