Effective Interactions and Operators in Nuclei within the No-Core Shell Model

Conference · Wed Sep 14 04:00:00 EDT 2005

DOI:https://doi.org/10.1063/1.2187907· OSTI ID:875649

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

We review the application of effective operator formalism to the ab initio no core shell model (NCSM). For short-range operators, such as the nucleon-nucleon potential, the unitary-transformation method works extremely well at the two-body cluster approximation and good results are obtained for the binding energies and excitation spectra of light nuclei (A {<=} 16). However, for long-range operators, such as the radius or the quadrupole moment, performing this unitary transformation at the two-body cluster level, does not include the higher-order correlations needed to renormalize these long-range operators adequately. Usually, such correlations can be obtained either by increasing the order of the cluster approximation, or by increasing the model space. We will discuss the difficulties of these approaches as well as alternate possible solutions for including higher-order correlations in small model spaces.

• Research Organization: Lawrence Livermore National Laboratory (LLNL), Livermore, CA
• Sponsoring Organization: USDOE
• DOE Contract Number: W-7405-ENG-48
• OSTI ID: 875649
• Report Number(s): UCRL-PROC-215415
• Country of Publication: United States
• Language: English

Related Subjects

72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
73 NUCLEAR PHYSICS AND RADIATION PHYSICS
EXCITATION
LIGHT NUCLEI
NUCLEI
NUCLEON-NUCLEON POTENTIAL
QUADRUPOLE MOMENTS
SHELL MODELS
SPECTRA
SPECTROSCOPY
TRANSFORMATIONS