Search for JPC = 1-+ exotic state in e+e- annihilation

The P-wave and S-wave heavy-light mesons and their charge conjugates, i.e., D-1(2420)(D) over bar + c.c., D-1(2420)(D) over bar* + c.c., and D-2(2420)(D) over bar* + c.c., can couple to states with vector quantum number J(PC) = 1(--) and exotic quantum number J(PC) = 1(-+) in a relative S wave. Near threshold, the heavy-light meson pair may form hadronic molecules due to the strong S-wave coupling, and the mysterious vector state Y(4260) could be such a state of the D-1(2420)(D) over bar + c.c. molecule. This implies the possible existence of its conjugate partner made of the same heavy-light mesons but with exotic quantum number J(PC) = 1(-+). We evaluate the production rate of such exotic hadronic molecules and propose a direct experimental search for them in e(+)e(-) annihilation. Confirmation of such exotic states in experiment will certainly deepen our insights into strong QCD and the arrangement of multiquark degrees of freedom.