Renormalization for collective motion within a truncated space of the spherical shell model. I. Intrinsic frame in a schematic model

Journal Article · Fri Sep 19 04:00:00 EDT 1975 · Ann. Phys. (N.Y.), v. 94, no. 1, pp. 47-82

DOI:https://doi.org/10.1016/0003-4916(75)90158-X· OSTI ID:4080782

Harvey, M

By using schematic Hamiltonians in the $sup 20$Ne example, the series of perturbation terms for effective interactions and operators in a truncated space of a spherical shell model is found that, when summed, yields the results for intrinsic moments and energy of the unrestricted deformed Hartree--Fock state. Black-box and random phase approximation diagrams are shown to be important as is another (little used and to be called IBG) diagram and the ladder diagrams. A black-dot vertex renormalization is introduced corresponding to consistent renormalization of every transformation within the model space. The black-dot corresponds exactly to the self consistency of deformed Hartree--Fock. (AIP)

• Research Organization: Atomic Energy of Canada Limited, Chalk River Nuclear Laboratories, Chalk River, Ontario, Canada KOJ 1J0
• Sponsoring Organization: USDOE
• NSA Number: NSA-33-021771
• OSTI ID: 4080782
• Journal Information: Ann. Phys. (N.Y.), v. 94, no. 1, pp. 47-82, Journal Name: Ann. Phys. (N.Y.), v. 94, no. 1, pp. 47-82; ISSN APNYA
• Country of Publication: United States
• Language: English

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