摘要:

We discuss the extension of the Richardson‐Gaudin models along two lines. We £rst describe a new family of exactly solvable atom‐molecule Hamiltonians obtained by coupling a bosonic mode to the rational family. We then present the generalization of the Richardson‐Gaudin models to any simple Lie algebra. As an example of relevance to nuclear structure, we show the exact solution of the T=1 pairing Hamiltonian with non‐degenerate single‐particle energies. © 2004 American Institute of Physics

ISSN:0094-243X    

DOI:10.1063/1.1805906

出版商:AIP    

年代:1904

数据来源: AIP

摘要:

A major theoretical challenge when dealing with weakly bound nuclei is to obtain a consistent microscopic description of bound states, resonances, and the non‐resonant continuum. In this talk, resonances in deformed nuclei are described within the coupled‐channel approach employing the Gamow state formalism. The coupled‐channel method is compared with the expansion schemes employing the harmonic oscillator basis and the Berggren ensemble. © 2004 American Institute of Physics

ISSN:0094-243X    

DOI:10.1063/1.1805907

出版商:AIP    

年代:1904

数据来源: AIP

摘要:

The standard model of particle physics violates time‐reversal invariance, but apparently not strongly enough to account for the excess of matter over antimatter in the universe. One of the best ways to search for other sources of time‐reversal violation is to measure electric dipole moments of atoms. I argue that the best atoms to use are those with octupole‐deformed nuclei, and describe a self‐consistent calculation of the collective enhancement of time‐reversal violation in one such nucleus,225Ra, an experiment on which is in preparation. © 2004 American Institute of Physics

ISSN:0094-243X    

DOI:10.1063/1.1805908

出版商:AIP    

年代:1904

数据来源: AIP

摘要:

We derive the explicit form of the unitary operator connecting the normal parity harmonic oscillator eigenstates with the full set of eigenstates of a pseudo oscillator. This unitary operator allow us to analyze the shell model of medium and heavy nuclei with the help of a pseudo SU(3) group. © 2004 American Institute of Physics

ISSN:0094-243X    

DOI:10.1063/1.1805909

出版商:AIP    

年代:1904

数据来源: AIP

摘要:

Supersymmetry applied to identical bands is discussed. The role of a nearly decoupled pseudospin is investigated. A schematic model of proton neutron supersymmetry is discussed and compared to data on195Pt. © 2004 American Institute of Physics

ISSN:0094-243X    

DOI:10.1063/1.1805910

出版商:AIP    

年代:1904

数据来源: AIP

摘要:

We show that the nuclear supersymmetry model (n‐susy) in its extended version, predicts correlations in the nuclear structure matrix elements which characterize transfer reactions between nuclei that belong to the same supermultiplet. These correlations are related to the fermionic generators of the superalgebra and if verified experimentally can provide a direct test of the model. © 2004 American Institute of Physics

ISSN:0094-243X    

DOI:10.1063/1.1805911

出版商:AIP    

年代:1904

数据来源: AIP

摘要:

We describe the development and application of theab initioNo‐Core shell Model, in which the effective Hamiltonians are derived microscopically from realistic, high‐quality nucleon‐nucleon (NN) potentials plus various realistic three‐nucleon (NNN) potentials, as a function of the finite harmonic‐oscillator (HO) basis space. For presently feasible no‐core model spaces, we evaluate the effective Hamiltonians in a cluster approach, which is guaranteed to provide exact results for sufficiently large model spaces and/or sufficiently large clusters. A number of recent applications of the NCSM are given. © 2004 American Institute of Physics

ISSN:0094-243X    

DOI:10.1063/1.1805912

出版商:AIP    

年代:1904

数据来源: AIP

摘要:

The mechanism of the dominance (preponderance) of the 0+ground state for random interactions is proposed to be the chaotic realization of the highest rotational symmetry. This is a consequence of a general principle on the chaos and symmetry that the highest symmetry is given to the ground state if sufficient mixing occurs in a chaotic way by a random interaction. Under this symmetry‐realization mechanism, the ground‐state parity and isospin can be predicted so that the positive parity is favored over the negative parity and the isospinT= 0 state is favored over higher isospin. It is further suggested how one can enhance the realization of highest symmetries within random interactions. Thus, chaos and symmetry are shown to be linked deeply. © 2004 American Institute of Physics

ISSN:0094-243X    

DOI:10.1063/1.1805913

出版商:AIP    

年代:1904

数据来源: AIP

摘要:

The Skyrme‐Hartree‐Fock‐Bogoliubov code HFBTHO using the axial (2D) Transformed Harmonic Oscillator basis is tested against the HFODD (3D Cartesian HO basis) and HFBRAD (radial coordinate) codes. Results of large‐scale ground‐state calculations are presented for the SLy4 and SkP interactions. © 2004 American Institute of Physics

ISSN:0094-243X    

DOI:10.1063/1.1805914

出版商:AIP    

年代:1904

数据来源: AIP

摘要:

Particle‐number restoration before variation is implemented in the HFB method employing the Skyrme force and contact delta pairing. Results are compared with those obtained within the Lipkin‐Nogami method, with or without the particle‐number projection after variation. © 2004 American Institute of Physics

ISSN:0094-243X    

DOI:10.1063/1.1805915

出版商:AIP    

年代:1904

数据来源: AIP