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

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

1998-01-29

arxiv.org/abs/nucl-th/9801064v1

Nucl.Phys. A637 (1998) 107-134

Physics

Nuclear Physics

Nuclear Theory

27 pp, LaTeX file, 8 figures (uses epsf)

Scientific paper

10.1016/S0375-9474(98)00220-6

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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