Effective field theory in the harmonic oscillator basis

S. Binder, A. Ekström, G. Hagen, T. Papenbrock, K. A. Wendt

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29 Scopus citations

Abstract

We develop interactions from chiral effective field theory (EFT) that are tailored to the harmonic oscillator basis. As a consequence, ultraviolet convergence with respect to the model space is implemented by construction and infrared convergence can be achieved by enlarging the model space for the kinetic energy. In oscillator EFT, matrix elements of EFTs formulated for continuous momenta are evaluated at the discrete momenta that stem from the diagonalization of the kinetic energy in the finite oscillator space. By fitting to realistic phase shifts and deuteron data we construct an effective interaction from chiral EFT at next-to-leading order. Many-body coupled-cluster calculations of nuclei up to Sn132 converge fast for the ground-state energies and radii in feasible model spaces.

Original languageEnglish
Article number044332
JournalPhysical Review C
Volume93
Issue number4
DOIs
StatePublished - Apr 25 2016

Funding

This material is based upon work supported in part by the US Department of Energy, Office of Science, Office of Nuclear Physics, under Awards No. DE-FG02-96ER40963 (University of Tennessee) and No. DE-SC0008499 (SciDAC-3 NUCLEI Collaboration), Field Work Proposal No. ERKBP57 at Oak Ridge National Laboratory (ORNL), and Contract No. DEAC05-00OR22725 (ORNL). S.B. gratefully acknowledges the financial support from the Alexander-von-Humboldt Foundation (Feodor-Lynen fellowship).

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