Giant Resonances from Tdhf

It is well-known that the Random Phase Approximation (RPA) is equivalent to Time-Dependent Hartree-Fock (TDHF) to first order in the density fluctuations from the static Hartree-Fock ground state. Therefore either approach may be used to calculate giant resonance states in nuclei. Historically, the RPA approach has been more popular, particularly working directly in the response function formalism. This has especially been the case because of computational complexity of TDHF calculations. Nevertheless, successful calculations of giant resonances using TDHF have been made, including those of Stringari and Vautherin, and Chomaz et al. Recently there has been renewed interest in TDHF calculations of giant resonances, motivated by the better scaling to calculations with no assumptions on the spatial symmetry of the system. In such cases, it is the TDHF calculations which afford easier computation. Such relaxation of the symmetry assumptions are necessary for the proper calculation of deformed systems and resonances. It is also advantageous to use TDHF if one wishes to explore different effective interactions,