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 publicationAIP Conference Proceedings
Pages504-508
Number of pages5
Volume819
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

Other

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

Fingerprint

operators
nuclei
interactions
nucleon potential
approximation
quadrupoles
binding energy
formalism
moments
radii
excitation

Keywords

  • Electromagnetic transitions
  • Nuclear spectra
  • Shell model

ASJC Scopus subject areas

  • Physics and Astronomy(all)

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 AIP Conference Proceedings (Vol. 819, pp. 504-508) https://doi.org/10.1063/1.2187907

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 proceedingConference contribution

Barrett, BR, Navratil, P, Stetcu, I & Vary, JP 2006, Effective interactions and operators in nuclei within the no-core shell model. in AIP Conference Proceedings. vol. 819, pp. 504-508, 12th International Symposium on Capture Gamma-Ray Spectroscopy and Related Topics, Notre Dame, IN, United States, 9/4/05. https://doi.org/10.1063/1.2187907
Barrett BR, Navratil P, Stetcu I, Vary JP. Effective interactions and operators in nuclei within the no-core shell model. In AIP Conference Proceedings. Vol. 819. 2006. p. 504-508 https://doi.org/10.1063/1.2187907
Barrett, Bruce R ; Navratil, Petr ; Stetcu, Ionel ; Vary, James P. / Effective interactions and operators in nuclei within the no-core shell model. AIP Conference Proceedings. Vol. 819 2006. pp. 504-508
@inproceedings{8a25d12fa760491c974a21ca2282a745,
title = "Effective interactions and operators in nuclei within the no-core shell model",
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.",
keywords = "Electromagnetic transitions, Nuclear spectra, Shell model",
author = "Barrett, {Bruce R} and Petr Navratil and Ionel Stetcu and Vary, {James P.}",
year = "2006",
month = "3",
day = "13",
doi = "10.1063/1.2187907",
language = "English (US)",
isbn = "0735403139",
volume = "819",
pages = "504--508",
booktitle = "AIP Conference Proceedings",

}

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

SN - 0735403139

SN - 9780735403130

VL - 819

SP - 504

EP - 508

BT - AIP Conference Proceedings

ER -