@article{41ba7fb35ff34fbfabe648e268cafb7c,

title = "A separable approximation to time-dependent Hartree-Fock calculations",

abstract = "We discuss an approximation to three-dimensional (3-D) TDHF calculations for heavy-ion reactions which neglects motion normal to the scattering plane. Quantitative comparisons with 3-D results indicate the accuracy of this method and an order-of-magnitude reduction in computation time.",

author = "S. Koonin and B. Flanders and H. Flocard and M. Weiss",

note = "Funding Information: Numerical applications of the time-dependent Hartree-Fock method \[1\ ] to heavy-ion reactions \[2-5\] and fission \[6\] provide a microscopic description of large-amplitude nuclear dynamics. Several calculations have approximated these systems in two non-trivial spatial dimensions by constraining the TDHF determinant to be axially symmetric \[2,3,6\]. However, recent fully three-dimensional (3-D) solutions for heavy-ion reactions have shown that tangential degrees of freedom are important for realizing fully the dissipation inherent in a mean-field approach \[4,5\].T here are also indications that tri-axiality is essential for an accurate TDHF description of fission dynamics \[6\].S ince {"}exact{"} 3-D solutions presently involve a great deal of computational effort for large systems, it is desirable to seek approximations which limit the number of variables to be treated explicitly, but which retain those degrees of freedom necessary for an accurate solution. This letter explores one such approximation for heavy-ion reactions, in which motion * Supported in part by the National Science Foundation \[PHY76-83685, PHY77-21602\] and U.S. Energy Research and Development \[Contract No. W-7405-Eng-48\ ]. 1 Alfred P. Sloan Foundation Fellow.",

year = "1978",

month = jul,

day = "17",

doi = "10.1016/0370-2693(78)90188-0",

language = "English (US)",

volume = "77",

pages = "13--17",

journal = "Physics Letters B",

issn = "0370-2693",

publisher = "Elsevier",

number = "1",

}