Widths of K̄-nuclear deeply bound states in a dynamical model

The relativistic mean field (RMF) model is applied to a system of nucleons and a K̄ meson, interacting via scalar and vector boson fields. The model incorporates the standard RMF phenomenology for bound nucleons and, for the K̄ meson, it relates to low-energy K̄N and K- atom phenomenology. Deeply bound K̄ nuclear states are generated dynamically across the periodic table and are exhibited for ¹²C and ¹⁶O over a wide range of binding energies. Substantial polarization of the core nucleus is found for these light nuclei. Absorption modes are also included dynamically, considering explicitly both the resulting compressed nuclear density and the reduced phase space for K̄ absorption from deeply bound states. The behavior of the calculated width as function of the K̄ binding energy is studied in order to explore limits on the possible existence of narrow K̄ nuclear states.