A simple method for evaluating Goldstone diagrams in an angular momentum coupled representation

作者: T.T.S Kuo , J Shurpin , K.C Tam , E Osnes , P.J Ellis

DOI: 10.1016/0003-4916(81)90068-3

关键词: Angular momentumLadder logicSpace (mathematics)Hilbert spacePhysicsOperator (physics)Mathematical OperatorsAngular momentum operatorAngular momentum couplingClassical mechanicsGeneral Physics and Astronomy

摘要: Abstract A simple and convenient method is derived for evaluating linked Goldstone diagrams in an angular momentum coupled representation. Our general, can be used to evaluate any effective interaction and/or operator both closed-shell nuclei (vacuum vacuum diagrams) open-shell (valence diagrams). The techniques of decomposing into ladder diagrams, cutting open internal lines one-body insertions are introduced. These enable us determine factors associated with the representation directly, without need carrying out complicated algebra. summary diagram rules given.

参考文章(15)
Stan Siegel, Larry Zamick, Importance of higher order corrections to the effective charge Nuclear Physics A. ,vol. 145, pp. 89- 128 ,(1970) , 10.1016/0375-9474(70)90311-8
T.T.S. Kuo, S.Y. Lee, K.F. Ratcliff, A folded-diagram expansion of the model-space effective hamiltonian Nuclear Physics A. ,vol. 176, pp. 65- 88 ,(1971) , 10.1016/0375-9474(71)90731-7
T T S Kuo, Shell-Model Effective Interactions and the Free Nucleon-Nucleon Interaction Annual Review of Nuclear and Particle Science. ,vol. 24, pp. 101- 150 ,(1974) , 10.1146/ANNUREV.NS.24.120174.000533
J. Shurpin, D. Strottman, T.T.S. Kuo, M. Conze, P. Manakos, Folded diagrams and s-d shell effective interactions Physics Letters B. ,vol. 69, pp. 395- 399 ,(1977) , 10.1016/0370-2693(77)90828-0
E.M. Krenciglowa, T.T.S. Kuo, A folded-diagram perturbation expansion for effective operators Nuclear Physics A. ,vol. 240, pp. 195- 220 ,(1975) , 10.1016/0375-9474(75)90326-7
BAIRD H. BRANDOW, Linked-Cluster Expansions for the Nuclear Many-Body Problem Reviews of Modern Physics. ,vol. 39, pp. 771- 828 ,(1967) , 10.1103/REVMODPHYS.39.771
P. J. Ellis, E. Osnes, An introductory guide to effective operators in nuclei Reviews of Modern Physics. ,vol. 49, pp. 777- 832 ,(1977) , 10.1103/REVMODPHYS.49.777
T.T.S. Kuo, G.E. Brown, Structure of finite nuclei and the free nucleon-nucleon interaction Nuclear Physics. ,vol. 85, pp. 40- 86 ,(1966) , 10.1016/0029-5582(66)90131-3
J. Shurpin, H. Müther, T.T.S. Kuo, A. Faessler, The influence of a self-consistent model space on the folded diagram expansion of nuclear effective interactions Nuclear Physics. ,vol. 293, pp. 61- 82 ,(1977) , 10.1016/0375-9474(77)90476-6