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A simple method for evaluating goldstone diagrams in an angular momentum coupled representation
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required in the case of weak vibrational dispersion, is a .+0b2fi2 [where Wb is a “bandwidth” parameter, describing the frequency spread of the characteristic vibrational-dispersion curve, w(q)]. The physical significance of the results is discussed in terms of a quanta1 occurrence-probability approach recently developed by one of the present authors, and extended in a paper companion to the present one. A Simple Method for Evaluating Goldstone Diagrams in an Angular Momentum Coupled Representation. T. T. S. Kuo, J. SHURPIN, AND K. C. TAM, Department of Physics, State University of New York at Stony Brook, Stony Brook, New York 11794; E. OSNES,Institute of Physics, University of Oslo, Oslo 3, Norway; AND P. J. ELLIS, School of Physics and Astronomy, University of Minnesota, Minneapolis, Minnesota 55455. A simple and convenient method is derived for evaluating linked Goldstone diagrams in an angular momentum coupled representation. The method is general, and can be used to evaluate any effective interaction and/or effective operator diagrams for both closed-shell nuclei (vacuum to vacuum linked diagrams) and open-shell nuclei (valence linked diagrams). The techniques of decomposing diagrams into ladder diagrams, cutting open internal lines and cutting off one-body insertions are introduced. These enable us to determine angular momentum factors associated with diagrams in the coupled representation directly, without the need for carrying out complicated angular momentum algebra. A summary of diagram rules is given. A Generalization of the Proximity Force Theorem. J. BLXKI, Institute for Nuclear Research, 05-400 Swierk, Poland; AND W. J. SWQTECKI, Lawrence Berkeley Laboratory, University of California, Berkeley, California 94720. The Proximity Force Theorem of J. Blocki et al. (Ann. Phys. (N.Y.) 105 (1977), 427) (valid for gently curved surfaces) is generalized to include surfaces that may have large curvatures (but are still characterized by small angles between relevant portions of the interacting surfaces). A general proof is given for the approximate continuity of the proximity force when a gap configuration goes over into a crevice after contact. Simple and somewhat improved formulae are given for the universal proximity potential functions @ and 6 for gaps and crevices.
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ABSTRACTS
OF
PAPERS
TO
APPEAR
IN
FUTURE
ISSUES
required in the case of weak vibrational dispersion, is a .+0b2fi2 [where Wb is a “bandwidth” parameter, describing the frequency spread of the characteristic vibrational-dispersion curve, w(q)]. The physical significance of the results is discussed in terms of a quanta1 occurrence-probability approach recently developed by one of the present authors, and extended in a paper companion to the present one. A Simple Method for Evaluating Goldstone Diagrams in an Angular Momentum Coupled Representation. T. T. S. Kuo, J. SHURPIN, AND K. C. TAM, Department of Physics, State University of New York at Stony Brook, Stony Brook, New York 11794; E. OSNES,Institute of Physics, University of Oslo, Oslo 3, Norway; AND P. J. ELLIS, School of Physics and Astronomy, University of Minnesota, Minneapolis, Minnesota 55455. A simple and convenient method is derived for evaluating linked Goldstone diagrams in an angular momentum coupled representation. The method is general, and can be used to evaluate any effective interaction and/or effective operator diagrams for both closed-shell nuclei (vacuum to vacuum linked diagrams) and open-shell nuclei (valence linked diagrams). The techniques of decomposing diagrams into ladder diagrams, cutting open internal lines and cutting off one-body insertions are introduced. These enable us to determine angular momentum factors associated with diagrams in the coupled representation directly, without the need for carrying out complicated angular momentum algebra. A summary of diagram rules is given. A Generalization of the Proximity Force Theorem. J. BLXKI, Institute for Nuclear Research, 05-400 Swierk, Poland; AND W. J. SWQTECKI, Lawrence Berkeley Laboratory, University of California, Berkeley, California 94720. The Proximity Force Theorem of J. Blocki et al. (Ann. Phys. (N.Y.) 105 (1977), 427) (valid for gently curved surfaces) is generalized to include surfaces that may have large curvatures (but are still characterized by small angles between relevant portions of the interacting surfaces). A general proof is given for the approximate continuity of the proximity force when a gap configuration goes over into a crevice after contact. Simple and somewhat improved formulae are given for the universal proximity potential functions @ and 6 for gaps and crevices.
Printed
in Belgium