Production of the Exotic 1-- Hadrons φ(2170), X(4260), and Yb(10890) at the LHC and Tevatron via the Drell-Yan Mechanism

We calculate the Drell-Yan production cross sections and differential distributions in the transverse momentum and rapidity of the J(PC) = 1(--) exotic hadrons phi(2170), X(4260), and Y-b(10890) at the LHC and the Tevatron. These hadrons are tetraquark (four-quark) candidates, with a hidden s (s) over bar, c (c) over bar, and b (b) over bar quark pair, respectively. In deriving the distributions, we include the order alpha(s) QCD corrections, resum the large logarithms in the small transverse momentum region in the impact-parameter formalism, and use the state of the art parton distribution functions. Production rates for the processes pp((p) over bar) -> phi(2170)X (-> phi(1020)pi(+) pi(-) -> K+ K- pi(+) pi(-)) + ... , pp((p) over bar) -> X(4260)(-> J/psi pi(+) pi(-) -> mu(+)mu(-) pi(+) pi(-)) + ... , and pp((p) over bar) -> Y-b(10890)(-> gamma(1S, 2S, 3S)pi(+) pi(-) -> mu(+)mu(-) pi(+) pi(-)) + ... are presented. Their measurements will help in understanding the dynamics of these exotic hadrons.