Density dependence of the MIT bag constant in a quark-meson coupling model

The density dependence of the MIT bag constant in nuclear matter has been determined self-consistently using some physical observables as input in a quark-meson coupling model. More precisely, for this calculation, a saturation curve of nuclear matter has been built in such a manner the empirical saturation point and compressibility are reproduced, and the real part of the Schrödinger-equivalent nucleon-nucleus optical potential at saturation density has been constrained to a realistic value. In addition, it has been required that the density dependence of the bag constant lead to a very small increase of the bag radius in nuclei in accordance to the electron-nucleus scattering data.