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Conservation Properties in the Time-Dependent Hartree Fock Theory

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arxiv 0804.2127 v1 pith:IQA27VWY submitted 2008-04-14 nucl-th

Conservation Properties in the Time-Dependent Hartree Fock Theory

classification nucl-th
keywords numericalangularconservationdiscussmomentumtime-dependentartifactsassociated
verification ladder T0 review T1 audit T2 compute T3 formal T4 reserved
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We discuss the conservation of angular momentum in nuclear time-dependent Hartree-Fock calculations for a numerical representation of wave functions and potentials on a three-dimensional cartesian grid. Free rotation of a deformed nucleus performs extremely well even for relatively coarse spatial grids. Heavy ion collisions produce a highly excited compound system associated with substantial nucleon emission. These emitted nucleons reach the bounds of the numerical box which leads to a decrease of angular momentum. We discuss strategies to distinguish the physically justified loss from numerical artifacts.

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