Low density nuclear matter in effective ﬁeld theory
Institut für Kernphysik und Jülich Center for Hadron Physics,
Forschungszentrum Jülich, D-52425
2 Universität Bonn, Helmholtz-Institut für Strahlen- und Kernphysik und Bethe Center for Theoretical Physics, Nußallee 14-16, D-53115 Bonn, Germany
3 Institute for Advanced Simulation, Forschungszentrum Jülich, D-52425 Jülich, Germany
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The two- and three-nucleon interaction derived in chiral eﬀective ﬁeld theory is used to obtain the binding energy of nuclear matter for small densities at next-to-leading (NLO) and next-to-next-to-leading orders (N2LO). The order N2LO is not yet suﬃcient to push the range of validity of the expansion beyond the empirical Fermi momentum of nuclear matter. A phenomenological extension of the interaction suggests that both eﬀective three- and four-nucleon interactions are required for a description of the bulk properties of nuclear mater.
© Owned by the authors, published by EDP Sciences, 2010