The average effective interaction in linked cluster theory

Philip Goode; Daniel S. Koltun

doi:10.1016/0375-9474(75)90021-4

The average effective interaction in linked cluster theory

Philip Goode, Daniel S. Koltun

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

21 Scopus citations

Abstract

We derive a theoretical method for calculating the averages (over J and T) of matrix elements of the nuclear effective interaction, in any order of the linked cluster expansion. We apply this to calculate all terms through fourth order in the G-matrix, for the averages in mass-6 and mass-18 nuclei. We find that the averages in fourth order are as large as in second and third order. This behavior is associated with a small number of terms, which suggests a partial summation method of improving the series. The relation to other work is discussed.

Original language	English (US)
Pages (from-to)	44-76
Number of pages	33
Journal	Nuclear Physics, Section A
Volume	243
Issue number	1
DOIs	https://doi.org/10.1016/0375-9474(75)90021-4
State	Published - May 12 1975
Externally published	Yes

All Science Journal Classification (ASJC) codes

Nuclear and High Energy Physics

Access to Document

10.1016/0375-9474(75)90021-4

Cite this

@article{61972d7183b442358bde02f084d6980d,

title = "The average effective interaction in linked cluster theory",

abstract = "We derive a theoretical method for calculating the averages (over J and T) of matrix elements of the nuclear effective interaction, in any order of the linked cluster expansion. We apply this to calculate all terms through fourth order in the G-matrix, for the averages in mass-6 and mass-18 nuclei. We find that the averages in fourth order are as large as in second and third order. This behavior is associated with a small number of terms, which suggests a partial summation method of improving the series. The relation to other work is discussed.",

author = "Philip Goode and Koltun, \{Daniel S.\}",

note = "Funding Information: Work supported in part by the National Science Fotmdation. Work supported in part by the US Atomic Energy Commission. 44 Copyright: Copyright 2014 Elsevier B.V., All rights reserved.",

year = "1975",

month = may,

day = "12",

doi = "10.1016/0375-9474(75)90021-4",

language = "English (US)",

volume = "243",

pages = "44--76",

journal = "Nuclear Physics, Section A",

issn = "0375-9474",

publisher = "Elsevier B.V.",

number = "1",

}

TY - JOUR

T1 - The average effective interaction in linked cluster theory

AU - Goode, Philip

AU - Koltun, Daniel S.

N1 - Funding Information: Work supported in part by the National Science Fotmdation. Work supported in part by the US Atomic Energy Commission. 44 Copyright: Copyright 2014 Elsevier B.V., All rights reserved.

PY - 1975/5/12

Y1 - 1975/5/12

N2 - We derive a theoretical method for calculating the averages (over J and T) of matrix elements of the nuclear effective interaction, in any order of the linked cluster expansion. We apply this to calculate all terms through fourth order in the G-matrix, for the averages in mass-6 and mass-18 nuclei. We find that the averages in fourth order are as large as in second and third order. This behavior is associated with a small number of terms, which suggests a partial summation method of improving the series. The relation to other work is discussed.

AB - We derive a theoretical method for calculating the averages (over J and T) of matrix elements of the nuclear effective interaction, in any order of the linked cluster expansion. We apply this to calculate all terms through fourth order in the G-matrix, for the averages in mass-6 and mass-18 nuclei. We find that the averages in fourth order are as large as in second and third order. This behavior is associated with a small number of terms, which suggests a partial summation method of improving the series. The relation to other work is discussed.

UR - https://www.scopus.com/pages/publications/49549139267

UR - https://www.scopus.com/inward/citedby.url?scp=49549139267&partnerID=8YFLogxK

U2 - 10.1016/0375-9474(75)90021-4

DO - 10.1016/0375-9474(75)90021-4

M3 - Article

AN - SCOPUS:49549139267

SN - 0375-9474

VL - 243

SP - 44

EP - 76

JO - Nuclear Physics, Section A

JF - Nuclear Physics, Section A

IS - 1

ER -

The average effective interaction in linked cluster theory

Abstract

All Science Journal Classification (ASJC) codes

Access to Document

Other files and links

Fingerprint

Cite this