  It has been found that a pseudo-Nambu-Goldstone boson dark matter suppresses
the amplitude for elastic scattering with nuclei in non-relativistic limit, and
thus can naturally evade the strong constraint of dark matter direct detection
experiments. In this paper, we show that non-zero elastic scattering cross
section can be induced if the mediator mass is as small as momentum transfer.
The predicted recoil energy spectrum can differ from that for usual thermal
dark matter. Together with the relevant constraints such as thermal relic
abundance, indirect detection and Higgs decays, we investigate the
detectability through the current and future dark matter direct detection
experiments.
