Local nuclear energy density functional at next-to-next-to-next-to-leading order

B. G. Carlsson, J. Dobaczewski, and M. Kortelainen
Phys. Rev. C 78, 044326 – Published 27 October 2008; Erratum Phys. Rev. C 81, 029904 (2010)

Abstract

We construct nuclear energy density functionals in terms of derivatives of densities up to sixth, next-to-next-to-next-to-leading order (N3LO). A phenomenological functional built in this way conforms to the ideas of the density matrix expansion and is rooted in the expansions characteristic to effective theories. It builds on the standard functionals related to the contact and Skyrme forces, which constitute the zero-order (LO) and second-order (NLO) expansions, respectively. At N3LO, the full functional with density-independent coupling constants, and with the isospin degree of freedom taken into account, contains 376 terms, whereas the functionals restricted by Galilean and gauge symmetries contain 100 and 42 terms, respectively. For functionals additionally restricted by the spherical, space-inversion, and time-reversal symmetries, the corresponding numbers of terms are equal to 100, 60, and 22, respectively.

  • Figure
  • Received 31 July 2008

DOI:https://doi.org/10.1103/PhysRevC.78.044326

©2008 American Physical Society

Erratum

Authors & Affiliations

B. G. Carlsson1, J. Dobaczewski1,2, and M. Kortelainen1

  • 1Department of Physics, Post Office Box 35 (YFL), FI-40014 University of Jyväskylä, Finland
  • 2Institute of Theoretical Physics, University of Warsaw, ul. Hoża 69, PL-00-681 Warsaw, Poland

Article Text (Subscription Required)

Click to Expand

References (Subscription Required)

Click to Expand
Issue

Vol. 78, Iss. 4 — October 2008

Reuse & Permissions
Access Options
Author publication services for translation and copyediting assistance advertisement

Authorization Required


×
×

Images

×

Sign up to receive regular email alerts from Physical Review C

Log In

Cancel
×

Search


Article Lookup

Paste a citation or DOI

Enter a citation
×