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

Journal Article · Mon Mar 13 04:00:00 EST 2006 · AIP Conference Proceedings

DOI:https://doi.org/10.1063/1.2187907· OSTI ID:20798342

Barrett, Bruce R; Stetcu, Ionel ^[1]; Navratil, Petr ^[2]; Vary, James P ^[2]

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1. Department of Physics, University of Arizona, P.O. Box 210081, Tucson, Arizona 85721 (United States)
2. Lawrence Livermore National Laboratory, Livermore, P.O. Box 808, California 94551 (United States)

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.

• OSTI ID: 20798342
• Journal Information: AIP Conference Proceedings, Journal Name: AIP Conference Proceedings Journal Issue: 1 Vol. 819; ISSN APCPCS; ISSN 0094-243X
• Country of Publication: United States
• Language: English

Related Subjects

73 NUCLEAR PHYSICS AND RADIATION PHYSICS
ABSORPTION SPECTRA
APPROXIMATIONS
BINDING ENERGY
CORRELATIONS
EXCITATION
LIGHT NUCLEI
NUCLEON-NUCLEON POTENTIAL
QUADRUPOLE MOMENTS
RENORMALIZATION
REVIEWS
SHELL MODELS
SPACE
TRANSFORMATIONS
TWO-BODY PROBLEM