Abstract
Meaningful spectral calculations for a many particle system usually require severe truncation of the vector space and renormalization of the interaction to account for effects of truncation1. Traditional methods for imposing spectral criteria to find the effective Hamiltonian (indicated here by ĥ) have centered around the use of projection operators and linked-folded perturbation theory as, for example, in the Block-Horowitz-Brandow2 formulation. In most cases, the difficulties of calculating the significant third and higher order diagram contributions have made these approaches impractical.3
This is a preview of subscription content, log in via an institution to check access.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Preview
Unable to display preview. Download preview PDF.
References
P. 0. Lowdin, J. Math. Phys. 3 969 (1962). H. Feshbach, Ann. of Phys. 19 287 (1962).
C. Block and J. Horowitz, Nucl. Phys. 8. 91 (1958). B. H. B.andow, Rev. Mod. Phys. 39, 771 (1967).
M. S. Sandel, R. J. McCarthy, B. R. Barrett and J. P. Vary, Phys. Rev. C 17, 777 (1978).
B. J. Dalton, BAPS 22, 1012 (1977), B. D. Chang, BAPS 22, 1012 (1977), S. S. M. Wong, Nucl. Phys. A295, 275 (1978)
B. D. Chang, Nucl. Phys. A304, 127 (1978).
B. D. Chang and J. P. Draayer, to be published.
F. S. Chang, J. B. French, and T. H. Thio, Ann. of Phys. N.Y., 66, 137 (1971). A review article on this subject is presently being prepared by French and co-workers.
S. M. Grimes, S. D. Bloom, R. F. Hausman, Jr. and B. J. Dalton, Phys. Rev. C 19, 2389 (1979).
J. P. Draayer, J. B. French, and S. S. M. Wong, Ann. Phys. N.Y.) 196, 472 (1978).
S. M. Grimes, C. H. Poppe, C. Wong and B. J. Dalton, Phys. Rev. C 18, 1100 (1977).
W. J. Baldridge and B. J. Dalton, Phys. Rev. C 18, 539 (1978), W. J. Baldridge and J. P. Vary, Phys. Rev. C 14, 2246 (1976), N. Freed and J. Gibbons, Nucl. Phys. A136, (1969), N. Freed and W. Rhodes, Nucl. Phys. Al26, 481 (1969), F. Tabakin, Ann. Phys. (N.Y.) 30, 51 (1964).
Author information
Authors and Affiliations
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 1980 Plenum Press, New York
About this chapter
Cite this chapter
Dalton, B.J. (1980). Effective Interactions: Derivation of Moment Criteria. In: Goodman, C.D., Austin, S.M., Bloom, S.D., Rapaport, J., Satchler, G.R. (eds) The (p,n) Reaction and the Nucleon-Nucleon Force. Springer, Boston, MA. https://doi.org/10.1007/978-1-4684-8860-9_5
Download citation
DOI: https://doi.org/10.1007/978-1-4684-8860-9_5
Publisher Name: Springer, Boston, MA
Print ISBN: 978-1-4684-8862-3
Online ISBN: 978-1-4684-8860-9
eBook Packages: Springer Book Archive