Quantized ATDHF and angular momentum projection: three-dimensional applications to heavy ion scattering

Journal Article · Sun Feb 15 04:00:00 EST 1987 · Ann. Phys. (N.Y.); (United States)

DOI:https://doi.org/10.1016/0003-4916(87)90084-4· OSTI ID:6638885

Provoost, D; Gruemmer, F; Goeke, K

The quantized adiabatic time-dependent Hartree--Fock (qATDHF) theory is extended to the calculation of observables in nuclear phenomena using general many-body techniques including angular momentum projection. All calculations are performed using three-dimensional coordinate and momentum-grid techniques. The Bonche--Koonin--Negele interaction as well as several Skyrme-type forces has beenused in the simple Hartree--Fock (HF) calculations of /sup 12/C and /sup 20/Ne nuclei. Further, the maximally decoupled collective path is evaluated within qATDHF, and the angular momentum projected kernels are inserted into the GCM formalism. As a test case, this formalism is applied to the phase shifts of elastic ..cap alpha..--..cap alpha.. scattering because they can be compared to experimental values. The same techniques are applied to the ..cap alpha..--/sup 16/O system and the results are compared with those obtained by solving the collective Schroedinger equation in a Gaussian Overlap Approximation, as in a previous publication. The GCM, extended to complex energies, is used to extract the widths of the resonance levels of the 0/sub 1//sup +/, 0/sub 4//sup +/, 0/sup -/ bands in ..cap alpha..--/sup 16/O scattering. A model calculation, in which the structure of the nuclei is kept fixed to their HF ground state, is performed for the same ..cap alpha..--/sup 16/O system. We get quite different results with this ''sudden'' approximation than with the adiabatic calculation. The present calculations show that it is indeed possible to connect general and symmetry conserving many-body techniques to the qATDHF theory and to obtain in this way a purely microscopic framework which can be handled numerically, thus allowing evaluation of observables which are accessible to experiments. copyright 1987 Academic Press, Inc.

• Research Organization: Institut fuer Kernphysik, Kernforschungsanlage Juelich, D, 5170 Juelich, West Germany
• OSTI ID: 6638885
• Journal Information: Ann. Phys. (N.Y.); (United States), Journal Name: Ann. Phys. (N.Y.); (United States) Vol. 174:1; ISSN APNYA
• Country of Publication: United States
• Language: English

Related Subjects

653001* -- Nuclear Theory-- Nuclear Structure
Moments
Spin
& Models
653003 -- Nuclear Theory-- Nuclear Reactions & Scattering
73 NUCLEAR PHYSICS AND RADIATION PHYSICS
ALPHA REACTIONS
ANGULAR MOMENTUM OPERATORS
CARBON 12
CARBON ISOTOPES
CHARGED-PARTICLE REACTIONS
ELASTIC SCATTERING
ENERGY LEVELS
EVEN-EVEN NUCLEI
FUNCTIONS
GENERATOR-COORDINATE METHOD
HARTREE-FOCK METHOD
HELIUM 4 TARGET
ISOTOPES
LIGHT NUCLEI
MANY-BODY PROBLEM
MATHEMATICAL OPERATORS
MOMENT OF INERTIA
NEON 20
NEON ISOTOPES
NUCLEAR REACTIONS
NUCLEI
OXYGEN 16 TARGET
PHASE SHIFT
QUANTUM OPERATORS
SCATTERING
STABLE ISOTOPES
SUDDEN APPROXIMATION
TARGETS
THREE-DIMENSIONAL CALCULATIONS
TIME DEPENDENCE
WAVE FUNCTIONS