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Nuclear forces from chiral Lagrangians using the method of unitary transformation (I): Formalism
Open accessAbstract
Abstract We construct the two- and three-nucleon potential based on the most general chiral effective pion-nucleon Lagrangian using the method of unitary transformations. For that, we develop a power counting scheme consistent with this projection formalism. In contrast to previous results obtained in old-fashioned time-ordered perturbation theory, the method employed leads to energy-independent potentials. We discuss in detail the similarities and differences to the existing chiral nucleon-nucleon potentials. We also show that to leading order in the power counting, the three-nucleon forces vanish lending credit to the result obtained by Weinberg using old-fashioned time-ordered perturbation theory.
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Citations
Cited by
Modern theory of nuclear forces
Epelbaum, E., Hammer, H.-W., & Meißner, U.-G. (2009) · Reviews of Modern Physics · doi:10.1103/revmodphys.81.1773 · Cited by 1,883
Self-citationQuantum Monte Carlo methods for nuclear physics
Carlson, J., Gandolfi, S., Pederiva, F., Pieper, S. C., Schiavilla, R., Schmidt, K. E., & Wiringa, R. B. (2015) · Reviews of Modern Physics · doi:10.1103/revmodphys.87.1067 · Cited by 818
The two-nucleon system at next-to-next-to-next-to-leading order
Epelbaum, E., Glöckle, W., & Meißner, U.-G. (2005) · Nuclear Physics A · doi:10.1016/j.nuclphysa.2004.09.107 · Cited by 666
Self-citationThree-nucleon forces from chiral effective field theory
Epelbaum, E., Nogga, A., Glöckle, W., Kamada, H., Meißner, U.-G., & Witała, H. (2002) · Physical Review C · doi:10.1103/physrevc.66.064001 · Cited by 615
Self-citationCoupled-cluster computations of atomic nuclei
Hagen, G., Papenbrock, T., Hjorth-Jensen, M., & Dean, D. J. (2014) · Reports on Progress in Physics · doi:10.1088/0034-4885/77/9/096302 · Cited by 531
Metadata
- Authors
- Epelbaoum, E., Glöckle, W., & Meißner, U.-G.
- Venue
- Nuclear Physics A
- Publisher
- Elsevier BV
- Published
- 1998-07
- Volume
- 637
- Issue
- 1
- Pages
- 107-134
- ISSN
- 0375-9474 (ISSN-L)
- OpenAlex
- W1979542338
- Cited by
- 323
- References
- 0
- FWCI
- 6.86
- Type
- journal article
- Language
- en
- Open access
- green
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- Epelbaoum, E., Glöckle, W., & Meißner, U.-G. (1998). Nuclear forces from chiral Lagrangians using the method of unitary transformation (I): Formalism. Nuclear Physics A. https://doi.org/10.1016/s0375-9474(98)00220-6
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Contains information from the Semantic Scholar Academic Graph Datasets, made available under the ODC Attribution License (ODC-BY 1.0).
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