Hypernuclear spectra from in-medium chiral dynamics: a refined fit analysis

In the last years, the nuclear relativistic energy density functional introduced in Ref. [P. Finelli, N. Kaiser, D. Vretenar and W. Weise, Nucl. Phys. A 770 (2006) 1; Nucl. Phys. A 791 (2007) 57], based on in-medium chiral dynamics, has been generalized to implement constraints from chiral SU(3) effective field theory and applied to single Λ hypernuclei. Density-dependent central and spin-orbit mean fields are calculated for a Λ hyperon using the SU(3) extension of in-medium chiral perturbation theory to two-loop order. In this short contribution we will review the relevant features of this approach and present a detailed analysis of the fit procedure performed in Ref. [P. Finelli, N. Kaiser, D. Vretenar and W. Weise, to be published in Nucl. Phys. A, [arXiv:0909.1707]]. This work has been supported by INFN, MIUR and Italian Ministry of Foreign Affairs.