Effective operators within the ab initio no-core shell model

Ionel Stetcu, Bruce R Barrett, Petr Navrátil, James P. Vary

Research output: Contribution to journalArticle

68 Citations (Scopus)

Abstract

We implement an effective operator formalism for general one- and two-body operators, obtaining results consistent with the no-core shell model (NCSM) wave functions. The Argonne V8' nucleon-nucleon potential was used in order to obtain realistic wave functions for 4He, 6Li, and 12C. In the NCSM formalism, we compute electromagnetic properties using the two-body cluster approximation for the effective operators and obtain results which are sensitive to the range of the bare operator. To illuminate the dependence on the range, we employ a Gaussian two-body operator of variable range, finding weak renormalization of long range operators (e.g., quadrupole) in a fixed model space. This is understood in terms of the two-body cluster approximation which accounts mainly for short-range correlations. Consequently, short-range operators, such as the relative kinetic energy, will be well renormalized in the two-body cluster approximation.

Original languageEnglish (US)
Article number044325
JournalPhysical Review C - Nuclear Physics
Volume71
Issue number4
DOIs
StatePublished - Apr 2005

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operators
approximation
wave functions
formalism
nucleon potential
electromagnetic properties
quadrupoles
kinetic energy

ASJC Scopus subject areas

  • Physics and Astronomy(all)
  • Nuclear and High Energy Physics

Cite this

Effective operators within the ab initio no-core shell model. / Stetcu, Ionel; Barrett, Bruce R; Navrátil, Petr; Vary, James P.

In: Physical Review C - Nuclear Physics, Vol. 71, No. 4, 044325, 04.2005.

Research output: Contribution to journalArticle

Stetcu, Ionel ; Barrett, Bruce R ; Navrátil, Petr ; Vary, James P. / Effective operators within the ab initio no-core shell model. In: Physical Review C - Nuclear Physics. 2005 ; Vol. 71, No. 4.
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