Due to the concatenative interpretation of its composition operator, the base categorial type logic \NLd encounters some difficulties when analyzing non-concatenative material. Hence, modeling linguistic phenomena like anaphora resolution, long distance binding, gapping, discontinuity and quantifier raising becomes a problem in this logic. We propose an extension of \NLd with hybrid operators (nominals and the \,:-operator), and show that this extension has the needed expressivity to define frame classes leading to a proper modeling of long distance binding. We focus our presentation on the treatment of quantifier phrases.