Comparisons of two- and three-dimensional time-dependent Hartree-Fock calculations of the reactions /sup 16/O + /sup 16/O and /sup 40/Ca + /sup 40/Ca

Journal Article · Fri Dec 01 04:00:00 EST 1978 · Phys. Rev., C; (United States)

DOI:https://doi.org/10.1103/PhysRevC.18.2631· OSTI ID:6506121

Davies, K T.R.; Feldmeier, H T; Flocard, H; Weiss, M S

Two-dimensional and three-dimensional time-dependent Hartree-Fock calculations have been performed over a wide range of angular momenta for /sup 16/O + /sup 16/O at E/sub lab/ = 105 MeV and for /sup 40/Ca + /sup 40/Ca at E/sub lab/ = 192 MeV. In all of the two-dimensional calculations it is assumed that the nuclear system is axially-symmetric about the line joining the mass centers of the colliding ions. Two very different two-dimensional, axially-symmetric models are considered. (a) In the first case, it is assumed that after the two ions interpenetrate the moment of inertia of the system attains the rigid-body value. (b) In the second model, each single-particle wave function is assumed to be multiplied by an extra phase factor which depends upon the azimuthal angle. This model yields an irrotational fluid flow. The res of time-dependent Hartree-Fock (TDHF) calculations with both of these models are compared with each other and with three-dimensional TDHF results. It is concluded that the two-dimensional calculations reproduce reasonably well the three-dimensional results for values of the angular momentum both below and above the three-dimensional fusion window. As the laboratory bombarding energy is decreased, there is better agreement between the two- and three-dimensional calculations, including cases in which the angular momentum is within the fusion region.

• Research Organization: Oak Ridge National Laboratory, Oak Ridge, Tennessee 37830
• OSTI ID: 6506121
• Journal Information: Phys. Rev., C; (United States), Journal Name: Phys. Rev., C; (United States) Journal Issue: 6 Vol. 18:6; ISSN PRVCA
• Country of Publication: United States
• Language: English

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73 NUCLEAR PHYSICS AND RADIATION PHYSICS
ANGULAR MOMENTUM
CALCIUM 40 REACTIONS
CALCIUM 40 TARGET
CHARGED-PARTICLE REACTIONS
COULOMB FIELD
CROSS SECTIONS
ELECTRIC FIELDS
ENERGY RANGE
FUNCTIONS
FUSION REACTIONS
HARTREE-FOCK METHOD
HEAVY ION REACTIONS
MEV RANGE
MEV RANGE 100-1000
MOMENT OF INERTIA
NUCLEAR REACTIONS
OXYGEN 16 REACTIONS
OXYGEN 16 TARGET
SINGLE-PARTICLE MODEL
TARGETS
THREE-DIMENSIONAL CALCULATIONS
TIME DEPENDENCE
TWO-DIMENSIONAL CALCULATIONS
WAVE FUNCTIONS