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

Comparisons of two- and three-dimensional time-dependent Hartree-Fock calculations of the... Two-dimensional and three-dimensional time-dependent Hartree-Fock calculations have been performed over a wide range of angular momenta for O 16 + O 16 at E lab = 105 MeV and for Ca 40 + Ca 40 at E 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 results 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. NUCLEAR REACTIONS O 16 ( O 16 , x ) and Ca 40 ( Ca 40 , x ) in 2- and 3-dimensional time-dependent Hartree-Fock calculations. Comparisions between 2- and 3- dimensional results. Fusion and strongly damped collisions. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Physical Review C American Physical Society (APS)

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

Davies, K. T
Physical Review C , Volume 18 (6) – Dec 1, 1978
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Publisher
American Physical Society (APS)
Copyright
Copyright © 1978 The American Physical Society
ISSN
1089-490X
DOI
10.1103/PhysRevC.18.2631
Publisher site
See Article on Publisher Site

Abstract

Two-dimensional and three-dimensional time-dependent Hartree-Fock calculations have been performed over a wide range of angular momenta for O 16 + O 16 at E lab = 105 MeV and for Ca 40 + Ca 40 at E 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 results 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. NUCLEAR REACTIONS O 16 ( O 16 , x ) and Ca 40 ( Ca 40 , x ) in 2- and 3-dimensional time-dependent Hartree-Fock calculations. Comparisions between 2- and 3- dimensional results. Fusion and strongly damped collisions.

Journal

Physical Review C – American Physical Society (APS)

Published: Dec 1, 1978

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