TY - JOUR
T1 - Realistic microscopic calculations for the light nuclei A = 2 to 7
AU - Barrett, B. R.
AU - Zheng, D. C.
AU - Jaqua, L.
AU - Vary, J. P.
AU - McCarthy, R. J.
N1 - Funding Information:
We thank D.J. Millener and P.J. Brussaard for a number of helpful discussionsa nd valuable comments. Three of us (D.C.Z., B.R.B. and L.J.) acknowledgep artial support by the National ScienceF oundation, Grant No. PHYSl-03011. One of us (J.P.V.) acknowledges partial support by the Department of Energy under Grant No. DEFG02-87ER-40371, Division of High Energy and Nuclear Physics and partial support from the Alexander von Humboldt Foundation. We thank the Department of Energy’s Institute for NucIear Theory at the University of Washington for its hospitality during the early stageso f this work and the Department of Energy for partial support during this period.
PY - 1994/3/28
Y1 - 1994/3/28
N2 - The conventional theory of shell-model effective interactions encounters a divergence in its perturbation expansion owing to intruder states. By enlarging the model space to eliminate the core, and, hence, all core-polarization processes, we circumvent this problem. The perturbation expansion for the effective interaction can then be reasonably expressed in terms of only the Brueckner reaction matrix G in the no-core space plus all folded diagrams. The effective interaction for A = 2 is simply the Brueckner G-matrix. For A > 2 exact results for the eigenenergies are obtained, if the generalized, A-nucleon G matrix can be constructed. For A = 4 to 7, we approximate the A-nucleon G-matrix with the Brueckner G-matrix. Reasonable results can be obtained by treating the starting energy for the G matrix as a variable parameter to fix the binding energy.
AB - The conventional theory of shell-model effective interactions encounters a divergence in its perturbation expansion owing to intruder states. By enlarging the model space to eliminate the core, and, hence, all core-polarization processes, we circumvent this problem. The perturbation expansion for the effective interaction can then be reasonably expressed in terms of only the Brueckner reaction matrix G in the no-core space plus all folded diagrams. The effective interaction for A = 2 is simply the Brueckner G-matrix. For A > 2 exact results for the eigenenergies are obtained, if the generalized, A-nucleon G matrix can be constructed. For A = 4 to 7, we approximate the A-nucleon G-matrix with the Brueckner G-matrix. Reasonable results can be obtained by treating the starting energy for the G matrix as a variable parameter to fix the binding energy.
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U2 - 10.1016/0375-9474(94)90266-6
DO - 10.1016/0375-9474(94)90266-6
M3 - Article
AN - SCOPUS:43949154878
SN - 0375-9474
VL - 570
SP - 23
EP - 30
JO - Nuclear Physics, Section A
JF - Nuclear Physics, Section A
IS - 1-2
ER -