Electromagnetic transitions with effective operators

Ionel Stetcu; Bruce R. Barrett; Petr Navrátil; Calvin W. Johnson

doi:10.1142/S0218301305002813

Electromagnetic transitions with effective operators

Ionel Stetcu, Bruce R. Barrett, Petr Navrátil, Calvin W. Johnson

Physics

Research output: Contribution to journal › Article › peer-review

16 Scopus citations

Abstract

In the no-core shell model formalism we compute effective one- and two-body operators, using the Lee-Suzuki procedure within the two-body cluster approximation. We evaluate the validity of the latter through calculations in reduced model spaces. In particular, we test the results for the two-body system and find that indeed the effective operators in the reduced space reproduce the expectation values or transition strengths computed in the full space. On the other hand, the renormalization for operators in the case of ⁶Li is very weak, suggesting the need for higher-body clusters in computing the effective interaction.

Original language	English (US)
Pages (from-to)	95-103
Number of pages	9
Journal	International Journal of Modern Physics E
Volume	14
Issue number	1
DOIs	https://doi.org/10.1142/S0218301305002813
State	Published - Feb 2005

Keywords

Effective operators
Electromagnetic transitions
Nucleon-nucleon interaction
Shell model

ASJC Scopus subject areas

Nuclear and High Energy Physics
General Physics and Astronomy

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10.1142/S0218301305002813

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title = "Electromagnetic transitions with effective operators",

abstract = "In the no-core shell model formalism we compute effective one- and two-body operators, using the Lee-Suzuki procedure within the two-body cluster approximation. We evaluate the validity of the latter through calculations in reduced model spaces. In particular, we test the results for the two-body system and find that indeed the effective operators in the reduced space reproduce the expectation values or transition strengths computed in the full space. On the other hand, the renormalization for operators in the case of 6Li is very weak, suggesting the need for higher-body clusters in computing the effective interaction.",

keywords = "Effective operators, Electromagnetic transitions, Nucleon-nucleon interaction, Shell model",

author = "Ionel Stetcu and Barrett, {Bruce R.} and Petr Navr{\'a}til and Johnson, {Calvin W.}",

note = "Funding Information: I. Stetcu and B. R. Barrett acknowledge partial support by NFS grants PHY0070858 and PHY0244389. This work was performed in part under the auspices of the U.S. Department of Energy by the University of California, Lawrence Livermore National Laboratory under Contract No. W-7405-Eng-48. P. Navr{\'a}ti received support from LDRD Contract No. 04-ERD-058. C. W. Johnson acknowledges support by USDOE Grant No. DE-FG02-96ER40985.",

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doi = "10.1142/S0218301305002813",

language = "English (US)",

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T1 - Electromagnetic transitions with effective operators

AU - Stetcu, Ionel

AU - Barrett, Bruce R.

AU - Navrátil, Petr

AU - Johnson, Calvin W.

N1 - Funding Information: I. Stetcu and B. R. Barrett acknowledge partial support by NFS grants PHY0070858 and PHY0244389. This work was performed in part under the auspices of the U.S. Department of Energy by the University of California, Lawrence Livermore National Laboratory under Contract No. W-7405-Eng-48. P. Navráti received support from LDRD Contract No. 04-ERD-058. C. W. Johnson acknowledges support by USDOE Grant No. DE-FG02-96ER40985.

PY - 2005/2

Y1 - 2005/2

N2 - In the no-core shell model formalism we compute effective one- and two-body operators, using the Lee-Suzuki procedure within the two-body cluster approximation. We evaluate the validity of the latter through calculations in reduced model spaces. In particular, we test the results for the two-body system and find that indeed the effective operators in the reduced space reproduce the expectation values or transition strengths computed in the full space. On the other hand, the renormalization for operators in the case of 6Li is very weak, suggesting the need for higher-body clusters in computing the effective interaction.

AB - In the no-core shell model formalism we compute effective one- and two-body operators, using the Lee-Suzuki procedure within the two-body cluster approximation. We evaluate the validity of the latter through calculations in reduced model spaces. In particular, we test the results for the two-body system and find that indeed the effective operators in the reduced space reproduce the expectation values or transition strengths computed in the full space. On the other hand, the renormalization for operators in the case of 6Li is very weak, suggesting the need for higher-body clusters in computing the effective interaction.

KW - Effective operators

KW - Electromagnetic transitions

KW - Nucleon-nucleon interaction

KW - Shell model

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SP - 95

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JO - International Journal of Modern Physics E

JF - International Journal of Modern Physics E

IS - 1

ER -

Electromagnetic transitions with effective operators

Abstract

Keywords

ASJC Scopus subject areas

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