The Mathematical Institute, University of Oxford, Eprints Archive

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

Pardi, C. I. and Stevenson, P. D. and Xu, K (2014) Extension of continuum time-dependent Hartree-Fock method to proton states. Technical Report. APS Physics, Phys. Rev. E. (Submitted)

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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.

Item Type:Technical Report (Technical Report)
Subjects:H - N > Numerical analysis
Research Groups:Numerical Analysis Group
ID Code:1807
Deposited By: Helen Taylor
Deposited On:25 Feb 2014 08:43
Last Modified:29 May 2015 19:30

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