Band crossing in the particle-rotor model

The sharpness of the backbending associated with a two-band crossing is shown to be an oscillating function of the degree of shell filling in a particle-rotor model that includes an exact treatment of the two-body recoil term. Both the even-and the odd-nucleon cases are considered. A detailed comparison is made with the cranking model, and also the physical implications of the results are discussed.     

On the pairing interaction in highT c superconductors

It is argued, from the dependence of the critical current density and ofT _c on applied magnetic field, that the pairing interaction in highT _c superconductors must be strongly field-dependent.     

Structure of the pairing interaction in the two-dimensional Hubbard model

Dynamic cluster Monte Carlo calculations for the doped two-dimensional Hubbard model are used to study the irreducible particle-particle vertex responsible for dx2-y2 pairing in this model. This vertex increases with increasing momentum transfer and decreases when the energy transfer exceeds a scale associated with the Q=(pi, pi) spin susceptibility. Using an exact decomposition of this vertex into a fully irreducible two-fermion vertex and charge and magnetic exchange channels, the dominant part of the effective pairing interaction is found to come from the magnetic, spin S=1 exchange channel.     

Semi-microscopic model for the effective pairing interaction in atomic nuclei

A model has been proposed in which the ab initio effective pairing interaction in atomic nuclei is supplemented by a small phenomenological term containing one parameter universal for all intermediate-mass and heavy nuclei. The neutron and proton pairing gaps have been calculated for several chains of semimagic nuclei; these calculations demonstrate the applicability of this model.     

On superconducting pairing in the two-band Hubbard model

A two-band Hubbard model for highly hybridized copper 3d(x ²–y ²) and oxygen 2p(x,y) electrons in CuO₂ plane with strong Coulomb repulsion at copper sites is considered. A real-space pairing mechanism induced by antiferromagnetic interaction of Kondo type is treated. To avoid the Gutzwiller approximation the projection technique for two-time Green functions for Hubbard operators is employed. It is shown that due to rigorous restriction of no double occupancy at copper sites the exchange-mediatedp-d pairing with a site-independent gap function isabsent.     

Description of nuclear moments and nuclear spectra in the particle-rotor model

The particle-rotor model using strong coupling basis functions is briefly reviewed. Recent developments are discussed. For example, a formalism for odd-odd nuclei (and negative parity states in even nuclei) is presented. With a standard neutron-proton interaction, measured spins and moments of transitional and deformed Ho nuclei are used to extract their main configurations. Total energy calculations in the (ε, ψ)-plane based on the particle-rotor model are presented for¹⁸⁵Au.     

Investigation into the rotational bands of 185Pt with the particle-rotor model

Theoretical calculations have been performed for the ν9/2⁺[624](i _13/2) and ν7/2⁻[503]( f _7/2) bands of ¹⁸⁵Pt in the framework of particle-rotor model. The band properties of signature splitting and configuration mixing have been analyzed. The level energy and signature splitting before the band crossing can be well interpreted by introducing triaxiality. The positive-parity yrast band is proposed to be dominated by the ν9/2⁺[624](i _13/2) component, while the negative-parity band shows strong mixing of ν7/2⁻[503](f _7/2) and ν9/2⁻[505](h _9/2) configurations.

     

On the effect of quadrupole pairing interaction on the backbending behaviour in rotating nuclei

The influence of the quadrupole component in the nucleon-nucleon pairing foce on the rotational nuclear motion is investigated with a simple model in connection with the backbending phenomenon. The inclusion of this component although necessary in the realistic calculation does not affect considerably the qualitative picture of the phenomenon.     

Inhomogeneity-induced enhancement of the pairing interaction in cuprate superconductors

Scanning tunneling spectroscopy has recently discovered a positive correlation between the magnitude of the superconducting gap and positions of dopant oxygen atoms in Bi-based cuprates. We propose a microscopic mechanism that could be responsible for this effect. In particular, we demonstrate that the dopant-induced spatial variation of the atomic levels always enhances the superexchange interaction.     

Quantum entanglement and pairing correlation in the reduced BCS pairing model

Using the particle-hole version of the density-matrix renormalization-group technique, the pairing correlation and the quantum entanglement of the reduced BCS pairing model are investigated. Both of them behave smoothly from the weak to the strong coupling regimes. A convergence radius (∼1/ln Ω) of condensation energy is detected by the first order derivative of the block-block entanglement. Furthermore, the block-block entanglement in the strong coupling regime shows distinct size dependence, and a logarithmic volume law is suggested numerically.     

The recoil term and the pairing interaction

The two-body components of the recoil term are found to play a significant role for the structure of the Fermi surface. These components are of particular importance for transitional nuclei where the moment of inertia parameter $\text{h}\text{?}{}^2\text{/2J}$ is large.     

Exact solution of the particle-rotor model,angular momentum spread and transition rates

The particle-plus-rotor model with valence particles in an $\text{i}{}_{\mathrm{<mtext>13</mtext><mtext>2</mtext>}}$ shell is solved exactly including single-particle splitting and pairing forces. Backbending and the spread of angular momentum of the valence shell is studied in detail for the two lowest bands and quadrupole transition rates are calculated.     

Algebraic method applied to the pairing interaction

The algebraic approach to the theory of collective motion is applied to the pairing interaction with two or three non-degenerate levels of arbitrary degeneracy each. A closed set of non-linear algebraic equations for observables referring to the lowest-lying levels of even nuclei is derived from the relevant quasispin algebra and from the equations of motion. Number conservation and blocking can both be taken into account. The solutions agree remarkably well with exact solutions even for small systems.     

The pairing model

The consequences of the existence of pairing correlations in nuclei are discussed. Special attention is paid to the dynamical aspects of the pairing degree of freedom, as revealed by two-nucleon transfer reactions. These reactions constitute specific probes of the pairing collective modes.The mathematical framework in which the discussion is carried out is the BCS theory and the Random Phase Approximation.The borderline aspect of the subject, which lies between solid state and nuclear physics is emphasized, pointing out the similarities and differences between analogous phenomena of solid state and nuclear physics.