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.
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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 -