First-order shell-model renormalization in the 1s-0d shell

Philip Goode

doi:10.1016/0375-9474(71)90116-3

First-order shell-model renormalization in the 1s-0d shell

Philip Goode

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

15 Scopus citations

Abstract

It is shown that in the first-order renormalization of the two-body matrix elements in the 1s-0d shell, one must take care in the treatment of the ¹⁶O core. Explicitly, when the ¹⁶O core is treated as being unperturbed or perturbed in the complete 2hω shell-model space, the results of the renormalization are essentially the same. However, if one treats the ¹⁶O core in the Tamm-Dancoff (TDA) subspace of the 2hω model space, the results of the calculation are quite different. The origins of these effects are discussed. The renormalization of the E2 operator is also discussed.

Original language	English (US)
Pages (from-to)	66-80
Number of pages	15
Journal	Nuclear Physics, Section A
Volume	172
Issue number	1
DOIs	https://doi.org/10.1016/0375-9474(71)90116-3
State	Published - Aug 30 1971
Externally published	Yes

All Science Journal Classification (ASJC) codes

Nuclear and High Energy Physics

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10.1016/0375-9474(71)90116-3

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title = "First-order shell-model renormalization in the 1s-0d shell",

abstract = "It is shown that in the first-order renormalization of the two-body matrix elements in the 1s-0d shell, one must take care in the treatment of the 16O core. Explicitly, when the 16O core is treated as being unperturbed or perturbed in the complete 2hω shell-model space, the results of the renormalization are essentially the same. However, if one treats the 16O core in the Tamm-Dancoff (TDA) subspace of the 2hω model space, the results of the calculation are quite different. The origins of these effects are discussed. The renormalization of the E2 operator is also discussed.",

author = "Philip Goode",

note = "Funding Information: t Work supported in part by the US Atomic Energy Commission. Computing supported by the Dean of the College of Arts and Science, University of Rochester, Rochester, New York. 66",

year = "1971",

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doi = "10.1016/0375-9474(71)90116-3",

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T1 - First-order shell-model renormalization in the 1s-0d shell

AU - Goode, Philip

N1 - Funding Information: t Work supported in part by the US Atomic Energy Commission. Computing supported by the Dean of the College of Arts and Science, University of Rochester, Rochester, New York. 66

PY - 1971/8/30

Y1 - 1971/8/30

N2 - It is shown that in the first-order renormalization of the two-body matrix elements in the 1s-0d shell, one must take care in the treatment of the 16O core. Explicitly, when the 16O core is treated as being unperturbed or perturbed in the complete 2hω shell-model space, the results of the renormalization are essentially the same. However, if one treats the 16O core in the Tamm-Dancoff (TDA) subspace of the 2hω model space, the results of the calculation are quite different. The origins of these effects are discussed. The renormalization of the E2 operator is also discussed.

AB - It is shown that in the first-order renormalization of the two-body matrix elements in the 1s-0d shell, one must take care in the treatment of the 16O core. Explicitly, when the 16O core is treated as being unperturbed or perturbed in the complete 2hω shell-model space, the results of the renormalization are essentially the same. However, if one treats the 16O core in the Tamm-Dancoff (TDA) subspace of the 2hω model space, the results of the calculation are quite different. The origins of these effects are discussed. The renormalization of the E2 operator is also discussed.

UR - https://www.scopus.com/pages/publications/49649146672

UR - https://www.scopus.com/pages/publications/49649146672#tab=citedBy

U2 - 10.1016/0375-9474(71)90116-3

DO - 10.1016/0375-9474(71)90116-3

M3 - Article

AN - SCOPUS:49649146672

SN - 0375-9474

VL - 172

SP - 66

EP - 80

JO - Nuclear Physics, Section A

JF - Nuclear Physics, Section A

IS - 1

ER -

First-order shell-model renormalization in the 1s-0d shell

Abstract

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