X(3872) and Y(4140) using diquark-antidiquark operators with lattice QCD
We discuss a recent lattice study of charmonium-like mesons with JPC = 1++ and three quark contents c¯cd¯u, c¯c(u¯u+d¯d) and c¯cs¯s, where the latter two can mix with c¯c. In this quantum channel, the long known exotic candidate, X(3872), resides. This simulation employs Nf = 2, mp = 266 MeV and a large basis of ¯ cc, two-meson and diquark-antidiquark interpolating fields, with diquarks in both anti-triplet and sextet color representations. It aims at the possible signatures of four-quark exotic states. Along the way, we discuss the relations between the diquark-antidiquark operators and the two-meson operators via the Fierz transformations.