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Nuclear forces from chiral Lagrangians using the method of unitary transformation I: Formalism

E. Epelbaoum·W. Glöckle·Ulf-G. Meißner
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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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E. Epelbaoum, W. Glöckle, Ulf-G. Meißner. 1998-01-29. Nuclear forces from chiral Lagrangians using the method of unitary transformation I: Formalism. https://doi.org/10.1016/s0375-9474(98)00220-6

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