Effective Operators Within the Ab Initio No-Core Shell Model

Journal Article · Tue Nov 30 04:00:00 EST 2004 · Physical Review C

OSTI ID:15016843

Stetcu, I; Barrett, B R; Navratil, P; Vary, J P

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 {sup 4}He, {sup 6}Li and {sup 12}C. 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.

• Research Organization: Lawrence Livermore National Laboratory (LLNL), Livermore, CA
• Sponsoring Organization: USDOE
• DOE Contract Number: W-7405-ENG-48
• OSTI ID: 15016843
• Report Number(s): UCRL-JRNL-208306
• Journal Information: Physical Review C, Journal Name: Physical Review C Journal Issue: 4 Vol. 71
• Country of Publication: United States
• Language: English

Related Subjects

72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
73 NUCLEAR PHYSICS AND RADIATION PHYSICS
KINETIC ENERGY
NUCLEON-NUCLEON POTENTIAL
RENORMALIZATION
SHELL MODELS
WAVE FUNCTIONS