Number-conserving sets and third-order renormalization contributions to the effective nuclear interaction

B. R. Barrett; M. W. Kirson

doi:10.1016/0370-2693(69)90271-8

Number-conserving sets and third-order renormalization contributions to the effective nuclear interaction

B. R. Barrett
, M. W. Kirson

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

18 Scopus citations

Abstract

The simplest third-order number-conserving set of diagrams, which represents the renormalization of the bare reaction matrix G, is computed for A=18 nuclei using the Kuo G matrices. As predicted by Brandow, the sum of terms within this set is found to be small, being 10% of G or less.

Original language	English (US)
Pages (from-to)	8-10
Number of pages	3
Journal	Physics Letters B
Volume	30
Issue number	1
DOIs	https://doi.org/10.1016/0370-2693(69)90271-8
State	Published - Sep 1 1969
Externally published	Yes

ASJC Scopus subject areas

Nuclear and High Energy Physics

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10.1016/0370-2693(69)90271-8

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title = "Number-conserving sets and third-order renormalization contributions to the effective nuclear interaction",

abstract = "The simplest third-order number-conserving set of diagrams, which represents the renormalization of the bare reaction matrix G, is computed for A=18 nuclei using the Kuo G matrices. As predicted by Brandow, the sum of terms within this set is found to be small, being 10\% of G or less.",

author = "Barrett, \{B. R.\} and Kirson, \{M. W.\}",

note = "Funding Information: t A preliminary version of this work was reported at the Washington, D.C. .A.P.S. meeting. April. 1969. see Bull. Am. Phys. 14 (1969) 626. * Andrew Mellon Postdoctoral Fellow. \$ Work supported in part by the National Science Foundation. tt In this paper the diagrams for figs. l(a). l(b) and l(c) are exchange diagrams of one another. Since anti-symmetrized reaction matrix elements are used. only one of these sets should be included in the effective interaction.",

year = "1969",

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T1 - Number-conserving sets and third-order renormalization contributions to the effective nuclear interaction

AU - Barrett, B. R.

AU - Kirson, M. W.

N1 - Funding Information: t A preliminary version of this work was reported at the Washington, D.C. .A.P.S. meeting. April. 1969. see Bull. Am. Phys. 14 (1969) 626. * Andrew Mellon Postdoctoral Fellow. $ Work supported in part by the National Science Foundation. tt In this paper the diagrams for figs. l(a). l(b) and l(c) are exchange diagrams of one another. Since anti-symmetrized reaction matrix elements are used. only one of these sets should be included in the effective interaction.

PY - 1969/9/1

Y1 - 1969/9/1

N2 - The simplest third-order number-conserving set of diagrams, which represents the renormalization of the bare reaction matrix G, is computed for A=18 nuclei using the Kuo G matrices. As predicted by Brandow, the sum of terms within this set is found to be small, being 10% of G or less.

AB - The simplest third-order number-conserving set of diagrams, which represents the renormalization of the bare reaction matrix G, is computed for A=18 nuclei using the Kuo G matrices. As predicted by Brandow, the sum of terms within this set is found to be small, being 10% of G or less.

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VL - 30

SP - 8

EP - 10

JO - Physics Letters B

JF - Physics Letters B

IS - 1

ER -

Number-conserving sets and third-order renormalization contributions to the effective nuclear interaction

Abstract

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