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 language | English (US) |
|---|---|
| Title of host publication | AIP Conference Proceedings |
| Pages | 504-508 |
| Number of pages | 5 |
| Volume | 819 |
| DOIs | |
| State | Published - Mar 13 2006 |
| Event | 12th International Symposium on Capture Gamma-Ray Spectroscopy and Related Topics - Notre Dame, IN, United States Duration: Sep 4 2005 → Sep 9 2005 |
Other
| Other | 12th International Symposium on Capture Gamma-Ray Spectroscopy and Related Topics |
|---|---|
| Country | United States |
| City | Notre Dame, IN |
| Period | 9/4/05 → 9/9/05 |
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Keywords
- Electromagnetic transitions
- Nuclear spectra
- Shell model
ASJC Scopus subject areas
- Physics and Astronomy(all)
Cite this
Effective interactions and operators in nuclei within the no-core shell model. / Barrett, Bruce R; Navratil, Petr; Stetcu, Ionel; Vary, James P.
AIP Conference Proceedings. Vol. 819 2006. p. 504-508.Research output: Chapter in Book/Report/Conference proceeding › Conference contribution
}
TY - GEN
T1 - Effective interactions and operators in nuclei within the no-core shell model
AU - Barrett, Bruce R
AU - Navratil, Petr
AU - Stetcu, Ionel
AU - Vary, James P.
PY - 2006/3/13
Y1 - 2006/3/13
N2 - 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.
AB - 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.
KW - Electromagnetic transitions
KW - Nuclear spectra
KW - Shell model
UR - http://www.scopus.com/inward/record.url?scp=33751247934&partnerID=8YFLogxK
UR - http://www.scopus.com/inward/citedby.url?scp=33751247934&partnerID=8YFLogxK
U2 - 10.1063/1.2187907
DO - 10.1063/1.2187907
M3 - Conference contribution
AN - SCOPUS:33751247934
SN - 0735403139
SN - 9780735403130
VL - 819
SP - 504
EP - 508
BT - AIP Conference Proceedings
ER -