The in-medium $\bar{K}N$ interaction within a chiral unitary approach

Abstract

The s- and p-wave contributions to the $\bar{K}N$ interaction in dense nuclear matter are obtained using a chiral unitary approach. We perform a self-consistent calculation of the $\bar{K}$ self-energy including Pauli blocking effects, meson self-energies modified by short-range correlations and baryon binding potentials. We find that the on-shell factorization cannot be applied to evaluate the in-medium corrections to p-wave amplitudes. Furthermore, the $\Lambda$ and $\Sigma$ develop a mass shift of -30 MeV at saturation density while the ${\Sigma }^{\ast }$ width increases to 80 MeV. We conclude that no deep and narrow $\bar{K}$ bound states could be observed.

Comments: 4 pages, 4 figures, to appear in the proceedings of the Yukawa International Seminar (YKIS2006) on "New Frontiers on QCD", Kyoto, Japan, November 20-December 8, 2006