Extension of continuum time-dependent Hartree-Fock method to proton states

Abstract

This paper deals with the solution of the spherically symmetric time-dependent Hartree-Fock approximation applied to nuclear giant monopole resonances in the small amplitude regime. The problem is spatially unbounded as the resonance state is in the continuum. The practical requirement to perform the calculation in a finite-sized spatial region yields an artificial boundary, which is not present physically. The question of how to ensure the boundary does not interfere with the internal solution, while keeping the overall calculation time low is studied. Here we propose an absorbing boundary condition scheme to handle the conflict. The derivation, via a Laplace transform method, and implementation is described. An inverse Laplace transform required by the absorbing boundaries is calculated using a method of non-linear least squares. The accuracy and efficiency of the scheme is tested and results presented to support the case that they are a effective way of handling the artificial boundary.

17 pages, 10 figures

References in corpus (3)

• 3-D unrestricted TDHF fusion calculations using the full Skyrme interaction
• Giant Monopole Resonance in even-A Cd isotopes, the asymmetry term in nuclear incompressibility, and the "softness" of Sn and Cd nuclei
• Nuclear Giant Resonances and Linear Response

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• Fission dynamics within time-dependent Hartree-Fock: boost-induced fission
• Nuclear Quantum Many-Body Dynamics: From Collective Vibrations to Heavy-Ion Collisions (2nd edition)
• A time-dependent Hartree-Fock study of triple-alpha dynamics
• Resonances and Reactions from Mean-Field Dynamics