Isotopic Chains Around Oxygen from Evolved Chiral Two- and Three-Nucleon Interactions

A. Cipollone, C. Barbieri, and P. Navrátil
Phys. Rev. Lett. 111, 062501 – Published 7 August 2013

Abstract

We extend the formalism of self-consistent Green’s function theory to include three-body interactions and apply it to isotopic chains around oxygen for the first time. The third-order algebraic diagrammatic construction equations for two-body Hamiltonians can be exploited upon defining system-dependent one- and two-body interactions coming from the three-body force, and, correspondingly, dropping interaction-reducible diagrams. The Koltun sum rule for the total binding energy acquires a correction due to the added three-body interaction. This formalism is then applied to study chiral two- and three-nucleon forces evolved to low momentum cutoffs. The binding energies of nitrogen, oxygen, and fluorine isotopes are reproduced with good accuracy and demonstrate the predictive power of this approach. Leading order three-nucleon forces consistently bring results close to the experiment for all neutron rich isotopes considered and reproduce the correct driplines for oxygen and nitrogen. The formalism introduced also allows us to calculate form factors for nucleon transfer on doubly magic systems.

  • Figure
  • Figure
  • Figure
  • Figure
  • Received 19 March 2013

DOI:https://doi.org/10.1103/PhysRevLett.111.062501

© 2013 American Physical Society

Authors & Affiliations

A. Cipollone1, C. Barbieri1,*, and P. Navrátil2

  • 1Department of Physics, University of Surrey, Guildford GU2 7XH, United Kingdom
  • 2TRIUMF, 4004 Westbrook Mall, Vancouver, British Columbia V6T 2A3, Canada

  • *C.Barbieri@surrey.ac.uk

Article Text (Subscription Required)

Click to Expand

References (Subscription Required)

Click to Expand
Issue

Vol. 111, Iss. 6 — 9 August 2013

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 Letters

Log In

Cancel
×

Search


Article Lookup

Paste a citation or DOI

Enter a citation
×