Three-dimensional nuclear dynamics in the quantized ATDHF approach

Journal Article · Sat Oct 15 04:00:00 EDT 1983 · Ann. Phys. (N.Y.); (United States)

DOI:https://doi.org/10.1016/0003-4916(83)90025-8· OSTI ID:5138375

Goeke, K; Gruemmer, F; Reinhard, P

The quantized adiabatic time-dependent Hartree-Fock theory is numerically applied to the low energy large amplitude collective dynamics of heavy ion systems ranging from a+a to /sup 16/O+/sup 16/O. The problem is reeduced to three successive steps. First, for the lowest mode the optimal, i.e., maximally decoupled, collective path )Vertical Barphi/sub q/>) is evaluated by solving a coupled set of nonlinear differential equations for the single-particle wave functions phi/sup()/sup ..cap alpha..//sub q/(r) of Vertical Barphi/sub q/>, depending on the collective coordinate q and three spatial coordinates. A density-dependent interaction with a direct finite range Yukawa-term is employed and three-dimensional coordinate- and momentum-grid techniques are used, including fast Fourier methods. In a second step the quantized collective Hamiltonian H/sub c/(q,d/dq) is extracted from )Vertical Barphi/sub q/>) by means of generator coordinate techniques involving, besides q, a conjugate variable p. Starting from )Vertical Barphi>) this procedure includes the numerical evaluation of the classical potential, V (q), of the intertia parameter, M (q), of the quantum corrections with regard to rotation, translation and collective q-motion, L (q), and of the centrifugal potential.

• Research Organization: Institut fuer Kernphysik, Kernforschungsanlage Juelich, D-5170 Juelich, West Germany
• OSTI ID: 5138375
• Journal Information: Ann. Phys. (N.Y.); (United States), Journal Name: Ann. Phys. (N.Y.); (United States) Vol. 150:2; ISSN APNYA
• Country of Publication: United States
• Language: English

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73 NUCLEAR PHYSICS AND RADIATION PHYSICS
ADIABATIC PROCESSES
ALKALINE EARTH ISOTOPES
ALPHA DECAY RADIOISOTOPES
ALPHA REACTIONS
BERYLLIUM 8
BERYLLIUM ISOTOPES
BINDING ENERGY
CARBON 12 REACTIONS
CARBON 12 TARGET
CHARGED-PARTICLE REACTIONS
COLLECTIVE EXCITATIONS
COULOMB FIELD
ELECTRIC FIELDS
ENERGY
ENERGY-LEVEL TRANSITIONS
EVEN-EVEN NUCLEI
EXCITATION
FUNCTIONS
FUSION REACTIONS
HAMILTONIANS
HARTREE-FOCK METHOD
HEAVY ION REACTIONS
HELIUM 4 TARGET
ISOTOPES
LIGHT NUCLEI
MAGNESIUM 24
MAGNESIUM ISOTOPES
MATHEMATICAL OPERATORS
NUCLEAR REACTIONS
NUCLEI
NUMERICAL SOLUTION
OXYGEN 16 REACTIONS
OXYGEN 16 TARGET
QUANTIZATION
QUANTUM OPERATORS
RADIOISOTOPES
SECONDS LIVING RADIOISOTOPES
STABLE ISOTOPES
SULFUR 32
SULFUR ISOTOPES
TARGETS
TIME DEPENDENCE
WAVE FUNCTIONS