Effective field theory in the harmonic oscillator basis
In this paper, 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 nexttoleading order. Finally, manybody coupledcluster calculations of nuclei up to ^{132}Sn converge fast for the groundstate energies and radii in feasible model spaces.
 Authors:

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 Univ. of Tennessee, Knoxville, TN (United States). Dept. of Physics and Astronomy; Oak Ridge National Lab. (ORNL), Oak Ridge, TN (United States). Physics Division
 Publication Date:
 Grant/Contract Number:
 AC0500OR22725; FG0296ER40963; SC0008499
 Type:
 Accepted Manuscript
 Journal Name:
 Physical Review C
 Additional Journal Information:
 Journal Volume: 93; Journal Issue: 4; Journal ID: ISSN 24699985
 Publisher:
 APS
 Research Org:
 Oak Ridge National Lab. (ORNL), Oak Ridge, TN (United States)
 Sponsoring Org:
 USDOE Office of Science (SC), Nuclear Physics (NP) (SC26)
 Contributing Orgs:
 Univ. of Tennessee, Knoxville, TN (United States)
 Country of Publication:
 United States
 Language:
 English
 Subject:
 73 NUCLEAR PHYSICS AND RADIATION PHYSICS; 97 MATHEMATICS AND COMPUTING
 OSTI Identifier:
 1302893
 Alternate Identifier(s):
 OSTI ID: 1249723
Binder, S., Ekström, Jan A., Hagen, Gaute, Papenbrock, Thomas F., and Wendt, Kyle A.. Effective field theory in the harmonic oscillator basis. United States: N. p.,
Web. doi:10.1103/PhysRevC.93.044332.
Binder, S., Ekström, Jan A., Hagen, Gaute, Papenbrock, Thomas F., & Wendt, Kyle A.. Effective field theory in the harmonic oscillator basis. United States. doi:10.1103/PhysRevC.93.044332.
Binder, S., Ekström, Jan A., Hagen, Gaute, Papenbrock, Thomas F., and Wendt, Kyle A.. 2016.
"Effective field theory in the harmonic oscillator basis". United States.
doi:10.1103/PhysRevC.93.044332. https://www.osti.gov/servlets/purl/1302893.
@article{osti_1302893,
title = {Effective field theory in the harmonic oscillator basis},
author = {Binder, S. and Ekström, Jan A. and Hagen, Gaute and Papenbrock, Thomas F. and Wendt, Kyle A.},
abstractNote = {In this paper, 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 nexttoleading order. Finally, manybody coupledcluster calculations of nuclei up to 132Sn converge fast for the groundstate energies and radii in feasible model spaces.},
doi = {10.1103/PhysRevC.93.044332},
journal = {Physical Review C},
number = 4,
volume = 93,
place = {United States},
year = {2016},
month = {4}
}