Frankfurt 2014 – scientific programme
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HK: Fachverband Physik der Hadronen und Kerne
HK 48: Struktur und Dynamik von Kernen
HK 48.6: Talk
Thursday, March 20, 2014, 18:15–18:30, HZ 4
Perturbation Theory for Ab Initio Nuclear Structure? — •Alexander Tichai, Joachim Langhammer, and Robert Roth — Institut für Kernphysik, Technische Universität Darmstadt
Many-body perturbation theory provides a standard tool for the calculation of energies and observables. It turns out that convergence properties of perturbation series are very sensitive to the partitioning of the Hamiltonian in use. We choose Hartree-Fock (HF) basis functions as a starting point for a perturbative expansion. A recursive treatment enables us to investigate energy corrections up to order 30 for light nuclei. Furthermore we present third-order energy corrections to the correlation energy for closed-shell nuclei over the whole mass range up to 208Pb. The HF basis leads to a perturbation series with better convergence properties compared to Harmonic Oscillator (HO) basis sets and obviates the use of resummation techniques.
We use a two- and three-body interaction constructed from chiral effective field theory transformed through similarity renormalization group techniques (SRG). We show consistency of our results to coupled-cluster calculations and give an outline of degenerate Hartree-Fock perturbation theory for open-shell nuclei and excited states.
* Supported by DFG (SFB 634), HIC for FAIR and BMBF (06DA7047I)