Generalized routhian calculations within the Skyrme-Hartree-Fock approximation

Abstract

We consider here variational solutions in the Hartree-Fock approximation upon breaking time reversal and axial symmetries. When decomposed on axial harmonic oscillator functions, the corresponding single particle triaxial eigenstates as functions of the usual cylindrical coordinates (r, $\theta$, z) are evaluated on a mesh in r and z to be integrated within Gauss-Hermite and Gauss-Laguerre approaches and as Fourier decompositions in the angular variable $\theta$. Using an effective interaction of the Skyrme type, the Hartree-Fock hamiltonian is also obtained as a Fourier series allowing a two dimensional calculation of its matrix elements. This particular choice is shown to lead in most cases to shorter computation times compared to the usual decomposition on triaxial harmonic oscillator states. We apply this method to the case of the semi-quantal approach of large amplitude collective motion corresponding to a generalized routhian formalism and present results in the A=150 superdeformed region for the coupling of global rotation and intrinsic vortical modes in what is known after Chandrasekhar as the S-ellipsoid coupling case.

LaTeX using elsart, 32 pages, 4 included figures, submitted to Nuclear Physics A (revised version)

References in corpus (6)

• Time-odd components in the mean field of rotating superdeformed nuclei
• Superdeformed rotational bands in the Mercury region; A Cranked Skyrme-Hartree-Fock-Bogoliubov study
• Solution of the Skyrme-Hartree-Fock equations in the Cartesian deformed harmonic oscillator basis. (I) The method
• Solution of the Skyrme-Hartree-Fock equations in the Cartesian deformed harmonic oscillator basis. (II) The program HFODD
• Microscopic study of superdeformation in the A=150 mass region
• Self-consistent anisotropic oscillator with cranked angular and vortex velocities

Cited by in corpus (4)

• Quadrupole collective states within the Bohr collective Hamiltonian
• Fission barriers of two odd-neutron actinide nuclei taking into account the time-reversal symmetry breaking at the mean-field level
• On the equivalence of pairing correlations and intrinsic vortical currents in rotating nuclei
• Period of the gamma-ray staggering in the 150Gd superdeformed region