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The phase diagram for quark matter is investigated within a simpleNambu-Jona-Lasinio model without vector correlations. It is found that thephase structure in the temperature-density plane depends sensitively on theparametrization of the model. We present two schemes of parametrization of themodel where within the first one a first order phase transition from a phasewith broken chiral symmetry to a color superconducting phase for temperaturesbelow the triple point at T_t= 55 MeV occurs whereas for the second one asecond order phase transition for temperatures below T_t = 7 MeV is found. Inthe latter case, there is also a coexistence phase of broken chiral symmetrywith color superconductivity, which is a new finding within this class ofmodels. Possible consequences for the phenomenology of the QCD phase transitionat high baryon densities are discussed.Comment: LaTeX, 23 pages, 7 figures, new references and discussion added,  typos correcte

Coexistence of color superconductivity and chiral symmetry breaking within the NJL model