Testing the interaction model with cosmological data and gamma-ray
  bursts
  We use the new gamma-ray bursts (GRBs) data, combined with the baryon
acoustic oscillation(BAO) observation from the spectroscopic Sloan Digital Sky
Survey (SDSS) data release, the newly obtained $A$ parameter at $z=0.6$ from
the WiggleZ Dark Energy Survey, the cosmic microwave background (CMB)
observations from the 7-Year Wilkinson Microwave Anisotropy Probe (WMAP7)
results, and the type Ia supernovae (SNeIa) from Union2 set, to constrain a
phenomenological model describing possible interactions between dark energy and
dark matter, which was proposed to alleviate the coincidence problem of the
standard $\Lambda$CDM model. By using the Markov Chain Monte Carlo (MCMC)
method, we obtain the marginalized $1\sigma$ constraints
$\Omega_{m}=0.2886\pm{0.0135}$, $r_m=-0.0047\pm{0.0046}$, and
$w_X=-1.0658\pm{0.0564}$. We also consider other combinations of these data for
comparison. These results show that: (1) the energy of dark matter is slightly
transferring to that of dark energy; (2) even though the GRBs+BAO+CMB data
present less stringent constraints than SNe+BAO+CMB data do, the GRBs can help
eliminate the degeneracies among parameters.
