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Hadronic Effective Field Theory Applied to Λ-Hypernuclei

In the present work, the approach of Furnstahl, Serot, and Tang (FST) is extended to the region of nonzero strangeness in application to singleparticle states in single Λ-hypernuclei. To include Λ’s, an additional contribution to their effective lagrangian is systematically constructed within the framework of FST. The relativistic Hartree (Kohn-Sham) equations are solved numerically, and least-square fits to a series of experimental levels are performed at various levels of truncation in the extended lagrangian. The ground-state properties of any Λ-hypernuclei are then predicted. In addition, ground-state Λ-particle–nucleon-hole splittings are calculated where appropriate, and the approach is calibrated against a calculation of the s1/2-doublet splitting in the nucleus 32 15P17.