Effective operators within the ab initio no-core shell model

Journal Article · Fri Apr 01 04:00:00 EST 2005 · Physical Review. C, Nuclear Physics

DOI:https://doi.org/10.1103/PhysRevC.71.044325· OSTI ID:20696071

Stetcu, Ionel; Barrett, Bruce R; Navratil, Petr; Vary, James P ^[1]

---

1. Department of Physics, University of Arizona, P.O. Box 210081, Tucson, Arizona 85721 (United States)

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.

• OSTI ID: 20696071
• Journal Information: Physical Review. C, Nuclear Physics, Journal Name: Physical Review. C, Nuclear Physics Journal Issue: 4 Vol. 71; ISSN 0556-2813; ISSN PRVCAN
• Country of Publication: United States
• Language: English

Related Subjects

73 NUCLEAR PHYSICS AND RADIATION PHYSICS
CARBON 12
CLUSTER MODEL
CORRELATIONS
ENERGY-LEVEL TRANSITIONS
HELIUM 4
KINETIC ENERGY
LITHIUM 6
NUCLEON-NUCLEON POTENTIAL
QUADRUPOLES
RENORMALIZATION
SHELL MODELS
TWO-BODY PROBLEM
WAVE FUNCTIONS