Density dependence of the quark condensate in isospin-asymmetric nuclear matter

Abstract

We compute the density dependence of the quark condensate and how it changes under the influence of isospin-asymmetric nuclear matter. This is achieved by the calculation of the relevant Feynman diagrams using in-medium chiral perturbation theory. We find that the absolute value of the quark condensate decreases in nuclear matter by around $35%$ at normal nuclear density, in agreement with previous model-independent calculations. We also present an quantitative estimation of the difference of up- and down-quark in-medium condensates.