Effective interactions and operators in nuclei within the no-core shell model

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

Research output: Chapter in Book/Report/Conference proceedingConference contribution

Abstract

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.

Original languageEnglish (US)
Title of host publicationCAPTURE GAMMA-RAY SPECTROSCOPY AND RELATED TOPICS
Subtitle of host publication12th International Symposium
Pages504-508
Number of pages5
DOIs
StatePublished - Mar 13 2006
Event12th International Symposium on Capture Gamma-Ray Spectroscopy and Related Topics - Notre Dame, IN, United States
Duration: Sep 4 2005Sep 9 2005

Publication series

NameAIP Conference Proceedings
Volume819
ISSN (Print)0094-243X
ISSN (Electronic)1551-7616

Other

Other12th International Symposium on Capture Gamma-Ray Spectroscopy and Related Topics
CountryUnited States
CityNotre Dame, IN
Period9/4/059/9/05

Keywords

  • Electromagnetic transitions
  • Nuclear spectra
  • Shell model

ASJC Scopus subject areas

  • Physics and Astronomy(all)

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  • Cite this

    Barrett, B. R., Navratil, P., Stetcu, I., & Vary, J. P. (2006). Effective interactions and operators in nuclei within the no-core shell model. In CAPTURE GAMMA-RAY SPECTROSCOPY AND RELATED TOPICS: 12th International Symposium (pp. 504-508). (AIP Conference Proceedings; Vol. 819). https://doi.org/10.1063/1.2187907